Podcasts about mersenne

Gregorio Baldin"Thomas Hobbes"Filosofia e politica nell'Europa del SeicentoCarocci Editorewww.carocci.itThomas Hobbes (1588-1679) è uno dei filosofi più noti, studiati e discussi nella storia del pensiero occidentale. Il libro traccia un profilo storico e intellettuale dell'autore che, con il suo Leviathan (1651), ha rivoluzionato la filosofia politica moderna. L'obiettivo è quello di guidare il lettore alla scoperta di Hobbes, non solo della sua filosofia, ma anche delle opere scientifiche, matematiche, storiche e letterarie, offrendo un caleidoscopio prospettico per comprendere la vivacità intellettuale di questo eclettico e poliedrico autore. Sullo sfondo cogliamo l'orizzonte delle vicende personali, ma anche le dinamiche politiche di ampio respiro che hanno segnato la storia culturale europea del primo Seicento e hanno costellato la lunga vita di questo straordinario pensatore moderno.Gregorio BaldinInsegna Storia della filosofia all'Università del Piemonte Orientale ed è membro dell'Institut d'Histoire des Représentations et des Idées dans les Modernités (École Normale Supérieure de Lyon). È stato Experienced Researcher Fellow dell'Alexander von Humboldt Stiftung presso la Philipps-Universität di Marburg. Si occupa di storia intellettuale, dedicandosi alle correnti filosofiche e agli autori della prima modernità, in particolare Thomas Hobbes e Paolo Sarpi. Ha pubblicato Hobbes and Galileo. Method, Matter and the Science of Motion (Cham 2020) e La croisée des savoirs: Hobbes, Mersenne, Descartes (Milano 2020).IL POSTO DELLE PAROLEascoltare fa pensarewww.ilpostodelleparole.itDiventa un supporter di questo podcast: https://www.spreaker.com/podcast/il-posto-delle-parole--1487855/support.

How scholars around Europe created an international network of intellectual exchange. As examples we consider the activities of Mersenne, Peiresc, Leibniz, Calvet, and Hartlib.

Ansonsten wagt Fabian, es zu lachen, wird aber auch sofort tafür, äh, dafür bestraft. Uli setzt ein Ulimatum. Jan klingt diesmal irgendwie falsch. Und Markus hat mal wirklich viel Pizza bestellt.

In this exciting episode of Breaking Math, we explore the groundbreaking discovery of the largest prime number ever found—M136279841, a Mersenne prime with over 41 million digits! Join [Your Name] as we dive deep into the story behind this astonishing mathematical achievement, led by Luke Durant, a volunteer from the Great Internet Mersenne Prime Search (GIMPS) project.Discover how Mersenne primes work, why they're so important to the world of mathematics, and how cutting-edge technology like GPUs has revolutionized the search for these massive numbers. We also discuss the critical role that prime numbers play in cryptography and online security, making this discovery relevant far beyond just the realm of theoretical mathematics.Learn about the global collaborative effort that made this record-breaking discovery possible, and find out how you can join the hunt for the next giant prime! Whether you're a math enthusiast, a tech geek, or just curious about the wonders of numbers, this episode is packed with insights that will inspire you to think about prime numbers in a whole new way.Key Takeaways: The discovery of M136279841, a prime number with 41,024,320 digits. The role of Luke Durant and the GIMPS project in pushing the boundaries of prime number research. How GPUs are transforming the way we discover massive primes. The importance of prime numbers in modern cryptography and technology. The connection between Mersenne primes and perfect numbers.Links Mentioned: Join the GIMPS project and search for the next prime: www.mersenne.org/download Learn more about Mersenne primes: Mersenne Prime HistoryBecome a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramFollow Gabe on Twitter.Become a guest hereemail: breakingmathpodcast@gmail.com

Details: https://billatnapier.medium.com/the-largest-prime-number-ever-found-and-the-52nd-mersenne-prime-65348546b651 

Nuestro matemático, Santi García Cremades, nos habla de Francia en el siglo XVII, que está plagada de cerebros matemáticos privilegiados como Descartes, Fermat, Desargues o Mersenne, pero es Blaise Pascal el protagonista de este espacio.

Nuestro matemático, Santi García Cremades, nos habla de Francia en el siglo XVII, que está plagada de cerebros matemáticos privilegiados como Descartes, Fermat, Desargues o Mersenne, pero es Blaise Pascal el protagonista de este espacio.

Listen up, you Illuminati, Opus Dei, Freemasons, and Skull & Bones Society; there's a new secret society in town. The Order of 37 was founded by eccentric mathematicians tired of mainstream numbers getting all the glory. Pi, Fibonacci, Mersenne and the Catalan numbers were such show-offs. But 37? It was the unsung hero of the number world.  Members, known as "Threesevenians, believed that one of their own discovered that 37 was not just a number but a portal to another dimension – a dimension where pi ends and where the square root of two is a nice, neat whole number. To access this, one must write the number 37 precisely 37 times while standing on one leg and humming the theme from "We Are the Champions". If this is thought-provoking, you are at the right place. Listen on.

Right now thousands of people are on a mathematical treasure hunt from the comfort of their home offices. Our own Zaron Burnett is one of them. Here's how you can join him — and compete for $50,000. *On the Very Special Episodes podcast, we tell one incredible story each week. Follow us down a different rabbit hole every Wednesday. Hosted by Dana Schwartz, Zaron Burnett, Jason EnglishWritten by Lucas ReillyProduced by Josh Fisher Editing and Sound Design by Emily MarinoffMixing and Mastering by Baheed FrazierResearch and Fact-Checking by Austin Thompson and Lucas ReillySpecial Thanks to Voice Actor Karl KeadleOriginal Music by Elise McCoyShow Logo by Lucy QuintanillaExecutive Producer is Jason English Thanks for listening! You don't owe us any favors. But if you enjoy the show and want to do us one anyway, could you head over to your favorite podcast platform(s) and leave us a rating? See omnystudio.com/listener for privacy information.

Right now thousands of people are on a mathematical treasure hunt from the comfort of their home offices. Our own Zaron Burnett is one of them. Here's how you can join him — and compete for $50,000. *On the Very Special Episodes podcast, we tell one incredible story each week. Follow us down a different rabbit hole every Wednesday. Hosted by Dana Schwartz, Zaron Burnett, Jason EnglishWritten by Lucas ReillyProduced by Josh Fisher Editing and Sound Design by Emily MarinoffMixing and Mastering by Baheed FrazierResearch and Fact-Checking by Austin Thompson and Lucas ReillySpecial Thanks to Voice Actor Karl KeadleOriginal Music by Elise McCoyShow Logo by Lucy QuintanillaExecutive Producer is Jason English Thanks for listening! You don't owe us any favors. But if you enjoy the show and want to do us one anyway, could you head over to your favorite podcast platform(s) and leave us a rating? See omnystudio.com/listener for privacy information.

Right now thousands of people are on a mathematical treasure hunt from the comfort of their home offices. Our own Zaron Burnett is one of them. Here's how you can join him — and compete for $50,000. *On the Very Special Episodes podcast, we tell one incredible story each week. Follow us down a different rabbit hole every Wednesday. Hosted by Dana Schwartz, Zaron Burnett, Jason EnglishWritten by Lucas ReillyProduced by Josh Fisher Editing and Sound Design by Emily MarinoffMixing and Mastering by Baheed FrazierResearch and Fact-Checking by Austin Thompson and Lucas ReillySpecial Thanks to Voice Actor Karl KeadleOriginal Music by Elise McCoyShow Logo by Lucy QuintanillaExecutive Producer is Jason English Thanks for listening! You don't owe us any favors. But if you enjoy the show and want to do us one anyway, could you head over to your favorite podcast platform(s) and leave us a rating? See omnystudio.com/listener for privacy information.

Right now thousands of people are on a mathematical treasure hunt from the comfort of their home offices. Our own Zaron Burnett is one of them. Here's how you can join him — and compete for $50,000. *On the Very Special Episodes podcast, we tell one incredible story each week. Follow us down a different rabbit hole every Wednesday. Hosted by Dana Schwartz, Zaron Burnett, Jason EnglishWritten by Lucas ReillyProduced by Josh Fisher Editing and Sound Design by Emily MarinoffMixing and Mastering by Baheed FrazierResearch and Fact-Checking by Austin Thompson and Lucas ReillySpecial Thanks to Voice Actor Karl KeadleOriginal Music by Elise McCoyShow Logo by Lucy QuintanillaExecutive Producer is Jason English Thanks for listening! You don't owe us any favors. But if you enjoy the show and want to do us one anyway, could you head over to your favorite podcast platform(s) and leave us a rating? See omnystudio.com/listener for privacy information.

Right now thousands of people are on a mathematical treasure hunt from the comfort of their home offices. Our own Zaron Burnett is one of them. Here's how you can join him — and compete for $50,000. *On the Very Special Episodes podcast, we tell one incredible story each week. Follow us down a different rabbit hole every Wednesday. Hosted by Dana Schwartz, Zaron Burnett, Jason EnglishWritten by Lucas ReillyProduced by Josh Fisher Editing and Sound Design by Emily MarinoffMixing and Mastering by Baheed FrazierResearch and Fact-Checking by Austin Thompson and Lucas ReillySpecial Thanks to Voice Actor Karl KeadleOriginal Music by Elise McCoyShow Logo by Lucy QuintanillaExecutive Producer is Jason English Thanks for listening! You don't owe us any favors. But if you enjoy the show and want to do us one anyway, could you head over to your favorite podcast platform(s) and leave us a rating? See omnystudio.com/listener for privacy information.

Te comparto un enlace en el que puedes leer el guión que hice para este video: https://revistapopblog.wordpress.com/?p=4574 En este video, analizaremos el contenido del capítulo 19 de "Estudios de historia del pensamiento científico", titulado "Pascal como científico", de Alexandre Koyré. Parte de la obra de Pascal está pérdida. Por lo tanto, formarnos una idea de su personalidad es difícil, debido a que se ha deformado por la hagiografía pascaliana. La obra de Pascal consistió en algunos experimentos, como el del Puy de Dôme. Éste fue sugerido por autores como Descartes o Mersenne. El primero preveía un resultado positivo, mientras que el segundo no. Por otro lado, debemos tomar en cuenta que algunos autores pueden desvirtuar la geometría pascaliana al intentar traducirla a la nuestra. Temas clave del video: - Sobre Pascal. - Contribuciones a las matemáticas. - Contribuciones a la física. Puedes seguir este proyecto en: linktr.ee/parresiapc ADVERTENCIA: Este video es un resumen general del texto y no sustituye su lectura. Tampoco pretende establecer dogmas o certezas. Simplemente comparto mis propias conclusiones, las cuales pueden modificarse con el tiempo. #parresia #ciencia #podcast #podcastenespañol #historiadores #historia #estudiosdehistoriadelpensamientocientifico #alexandrekoyre #pascal #blaisepascal #hagiografia #obra #puydedome #experimentos #renedescartes #marinmersenne #geometria #newton #formulas #leibniz #formuladelbinomio #formuladeladiferencial #trianguloaritmetico #calculodeprobabilidades #ruleta #cicloide #vacio #vaciotorricelliano

Te comparto un enlace en el que puedes leer el guión que hice para este video: https://revistapopblog.wordpress.com/?p=4548 En este video, analizaremos el contenido del capítulo 16 de "Estudios de historia del pensamiento científico", titulado "Un experimento de medición", de Alexandre Koyré. La ciencia moderna sustituyó el antiguo sistema de conceptos flexibles y cualitativos de Aristóteles por los conceptos rígidos y cuantitativos de Galileo. No obstante, en el siglo XVII hubieron dificultades técnicas para la realización de mediciones precisas. Por tanto, Galileo sustituyó los experimentos de la caída libre de los objetos en el vacío por los experimentos del plano inclinado y del péndulo. Estos demostraron que la velocidad de la caída del cuerpo es proporcional al seno del ángulo de la inclinación. Temas clave del video: - La creación de un mundo de mediciones. - Las mediciones de Mersenne. - Las mediciones de Riccioli. Puedes seguir este proyecto en: linktr.ee/parresiapc ADVERTENCIA: Este video es un resumen general del texto y no sustituye su lectura. Tampoco pretende establecer dogmas o certezas. Simplemente comparto mis propias conclusiones, las cuales pueden modificarse con el tiempo. #parresia #ciencia #podcast #podcastenespañol #galileogalilei #riccioli#giambattista #concepto #aristoteles #alexandrekoyre #estudiosdehistoriadelpensamientocientifico #sigloxvii #dificultades #tecnica #planoinclinado #inclinacion #velocidad #caida #experimentos #precision #medidas #mediciones #mersenne #marin #objetos #1647 #teoria #isocronismo #relojdependulo #pendulo #huygens #leyes #dinamica

In part 2 of this 3-part series, Rob Toulson explains how to optimise the drum sound for recording by experimenting with drum head, damping system, tuning and drum shell combinations.Chapters00:00 - Introduction01:09 - Drum Heads01:44 - Mersenne's Laws04:05 - 1 and 2 Ply Drum Heads05:45 - Damping Systems07:10 - Centre Dot Drum Heads09:27 - Choosing Your Timbre11:44 - Selecting Your Drum Shells14:25 - Optimising The Whole Kit19:41 - Tuning The Kick DrumProfessor Rob Toulson BiogRob is Director of RT60 Ltd, who develop mobile apps for musicians and sound engineers. RT60's iDrumTune Pro app assists drummers with learning the skills of drum tuning and has been the number one music app in over 100 countries since its launch in 2012. More recently, Rob and RT60 developed Songzap, which simplifies the process of recording and capturing musical ideas, enabling songwriters to focus exclusively on their creativity.Rob stared his career as a mechanical engineer with a doctorate in digital signal processing, before following his passion and moving into the field of music technology and specialising in percussion acoustics and audio software development. Rob has held a number of academic research roles in his career, including Professor of Creative Industries at University of Westminster and Director of the CoDE Research Institute at Anglia Ruskin University. Rob's also a successful musician, music producer and sound designer, having worked with many artists including Talvin Singh, Wilfy Williams and Mediaeval Baebes, who have previously topped the UK Classical Music Chart.Rob is author of a number of music related books and articles, including ‘Drum Sound and Drum Tuning', published by Routledge in 2021, and co-editor of the ‘Innovation In Music' book series, which is also published by Routledge. His sound design work has been included in films by BAFTA Winner Shreepali Patel and has been showcased at Glastonbury Festival, The V&A and The Natural History Museum.https://www.robtoulson.com/https://www.rt60.uk/

Jannis Mérida de Morras Malditas debate con el padre Miguel Ángel sobre el fenómeo de las “Brujas Mersenne”, ¿cuál es el origen de sus poderes?, ¿quién fue Martine Mersenne? Learn more about your ad choices. Visit megaphone.fm/adchoices

Sonoro presenta Quién Contra Mí. En este podcast exploramos personajes y acontecimientos paranormales desde la perspectiva de la fe, pues un verdadero creyente no debe temer investigar la oscuridad, porque si Dios conmigo… Quién contra mí. Una producción original de Juana María Torres y Rubén Martínez Hernández para Sonoro. En este episodio Jannis Mérida de Morras Malditas debate con el padre Miguel Ángel sobre el fenómeno de las “Brujas Mersenne”, ¿cuál es el origen de sus poderes?, ¿quién fue Martine Mersenne? Continúa la exploración del universo del Crucifijo del Padre Lucas en Quién Contra Mí. Busca Quién Contra Mí en la plataforma donde estás escuchando este podcast y suscríbete para escuchar todos los episodios. Learn more about your ad choices. Visit megaphone.fm/adchoices

Sonoro presenta Quién Contra Mí. En este podcast exploramos personajes y acontecimientos paranormales desde la perspectiva de la fe, pues un verdadero creyente no debe temer investigar la oscuridad, porque si Dios conmigo… Quién contra mí. Una producción original de Juana María Torres y Rubén Martínez Hernández para Sonoro. En este episodio Jannis Mérida de Morras Malditas debate con el padre Miguel Ángel sobre el fenómeno de las “Brujas Mersenne”, ¿cuál es el origen de sus poderes?, ¿quién fue Martine Mersenne? Continúa la exploración del universo del Crucifijo del Padre Lucas en Quién Contra Mí. Busca Quién Contra Mí en la plataforma donde estás escuchando este podcast y suscríbete para escuchar todos los episodios. Learn more about your ad choices. Visit megaphone.fm/adchoices

Sonoro presenta Quién Contra Mí. En este podcast exploramos personajes y acontecimientos paranormales desde la perspectiva de la fe, pues un verdadero creyente no debe temer investigar la oscuridad, porque si Dios conmigo… Quién contra mí. Una producción original de Juana María Torres y Rubén Martínez Hernández para Sonoro. En este episodio Jannis Mérida de Morras Malditas debate con el padre Miguel Ángel sobre el fenómeno de las “Brujas Mersenne”, ¿cuál es el origen de sus poderes?, ¿quién fue Martine Mersenne? Continúa la exploración del universo del Crucifijo del Padre Lucas en Quién Contra Mí. Busca Quién Contra Mí en la plataforma donde estás escuchando este podcast y suscríbete para escuchar todos los episodios. Learn more about your ad choices. Visit megaphone.fm/adchoices

Blog post: https://medium.com/asecuritysite-when-bob-met-alice/only-51-have-been-found-heres-mersenne-primes-4c296a3d8091 And, so what's the next number in the sequence 3, 7, 31, and 127? Well, it's 8,191, and I will explain why in a little minute. If you need to test with prime numbers — such as with public key encryption — how do you remember some large ones that you can test with? Well, one of the easiest ways is to remember the Mersenne prime numbers. Mersenne prime numbers were first defined by Marin Mersenne and who was a 17th Century French Minim friar. His main contribution included his investigations of prime numbers, along with being seen as the father of acoustics. A Mersenne prime is defined as a prime number that is one less than a power of two. The general form is M_n=2^n−1 where n is an integer. The discovery of 2¹¹²¹³-1 was even given its own postmark: The largest found is 2⁸²⁵⁸⁹⁹³³-1, and is the 51st Mersenne prime to be ever found). Since 1997, the Great Internet Mersenne Prime Search (GIMPS) distributed system has been used to find new Mersenne primes. From Wikipedia, here are the first 20: The Mersenne sequence becomes: 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011, 24036583, 25964951, 30402457, 32582657, 37156667, ..., 77232917 ... Some code to discover these is [here]: import galoisimport sysn=2if (len(sys.argv)>1): n=int(sys.argv[1])print("Mersenne_exponents:", galois.mersenne_exponents(n))print("Mersenne primes:", galois.mersenne_primes(n)) and a sample run [here]: Mersenne_exponents: [2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607]Mersenne primes: [3, 7, 31, 127, 8191, 131071, 524287, 2147483647, 2305843009213693951, 618970019642690137449562111, 162259276829213363391578010288127, 170141183460469231731687303715884105727, 6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151, 531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127] We can see that 2⁶⁰⁷-1 is 531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127. The FourQ Curve The core of the security you are using to access this page is probably provided with Elliptic Curve Cryptography (ECC), and where a session key is created through ECDH (Elliptic Curve Diffie Hellman). While there are a number of curves we can use, such as NIST P-256, Curve 25519 (as used in Tor) and Secp256k1 (as used with Bitcoin), there are some doubts about their security and their performance. And so Microsoft Research has produced the FourQ curve and which has 128-bit security. It is open source and runs efficiently on a number of platforms. At its core is the usage of the Mersenne prime of 2¹²⁷-1 [here]: In tests, the Microsoft team showed that FourQ was four or five times faster than the NIST P-256 curve, and two or three times faster than Curve 25519. As so we turn to the wonderful Cloudflare, and their Circl library. Within this, Cloudflare has implemented FourQ, and is [here]: package mainimport ( "crypto/rand" "fmt" "io" "encoding/hex" "github.com/cloudflare/circl/ecc/fourq")// 32 byte keys usedconst Size = 32 // type Key [Size]byte// From secret s, calculate public key (public=aG)func KeyGen(public, s *Key) { var P fourq.Point P.ScalarBaseMult((*[32]byte)(s)) P.Marshal((*[Size]byte)(public))}func Shared(shared, secret, public *Key) bool { var P, Q fourq.Point ok := P.Unmarshal((*[Size]byte)(public)) Q.ScalarMult((*[Size]byte)(secret), &P) Q.Marshal((*[Size]byte)(shared)) ok = ok && Q.IsOnCurve() return ok}func main() { var AliceSecret, BobSecret, AlicePublic, BobPublic, AliceShared, BobShared Key // Generate Alice's private key and public key _, _ = io.ReadFull(rand.Reader, AliceSecret[:32]) KeyGen(&AlicePublic, &AliceSecret) // Generate Bob's private key and public key _, _ = io.ReadFull(rand.Reader, BobSecret[:]) KeyGen(&BobPublic, &BobSecret) fmt.Println("Fourq key sharing") fmt.Println("Alice Secret: ", hex.EncodeToString(AliceSecret[:32])) fmt.Println("Alice Public: ",hex.EncodeToString(AlicePublic[:32])) fmt.Println("nnBob Secret: ", hex.EncodeToString(BobSecret[:32])) fmt.Println("Bob Public: ",hex.EncodeToString(BobPublic[:32])) // Determine shared keys Shared(&AliceShared, &AliceSecret, &BobPublic) Shared(&BobShared, &BobSecret, &AlicePublic) fmt.Println("nnBob Shared:t", hex.EncodeToString( BobShared[:32] )) fmt.Println("Alice Shared:t", hex.EncodeToString( AliceShared[:32] ))} With this, Alice produces her private key (a), and Bob produces his private key (b). We select a point on the elliptic curve (G), and Alice passes aG to Bob, and Bob passes bG to Alice. The shared key is then abG. A sample run is [here]: == Fourq key sharingAlice Secret: 4d4ae7584414589e7688507cbd0eb1f107352176eac219ec49d698e0868f83a6Alice Public: 6e34b72d675cf331ed856393580e9f74fce2a9d2cce10f2e15d58070a70d2567Bob Secret: 19b5c6a97dad74f0ffdaf9cb4bec561de3124b4c90f90f2f618db6cc0f5f9b8eBob Public: e2159ddc2efc501ccc01f1df78d5d14061edf3b284ae98095e747b7aeac63306Bob Shared: 0112c5090679d20d4363a670ff61d554284519c6d371e61cc9526d65d5a763a0Alice Shared: 0112c5090679d20d4363a670ff61d554284519c6d371e61cc9526d65d5a763a0 And in the end Bob and Alice have the same shared key, and which they could use for a tunnel. The Mersenne Twister Another application of Mersenne primes is in the implementation of a random number generation and is known as the Mersenne twist. A typical exponent value used is 19,937 (2²¹⁹⁹³⁷-1). Overall, PRNGs are deterministic and periodic, but the core strength of the Twister method is the pseudo sequence is unlikely to repeat with 2¹⁹⁹³⁷-1 random numbers: Overall the method uses sequential states, and where it should not be reasonably possible to know the next state from the current state. But some researchers have shown that “sparse” states can exist, and where there are very few ones or very few zeros, the next state will also be sparse. The method has been criticized for using up so many bits (19,937) for the states, and that for security a state value of 256 bits would still be enough, but have a strong effect on the overall performance of the method. A pseudo sequence repeating in 2²⁵⁶ can still be seen as being secure. If you want to try this, click [here]. Lucas-Lehmer Test The Lucas–Lehmer test (LLT) is used to test for the primality of Mersenne numbers. It was initially created Edouard Lucas in and then enhanced by Derrick Hentry Lehmer: For this test, we initially define u_0=0 and we calculate: If u_{s−2}=0 then it is a prime number. Here are some tests for Mersenne Primes: 2³−1 Try. 2⁵5−1 Try. 2⁷−1 Try. 2¹⁰⁷−1 Try. The following is the code [here]: import syss=18if (len(sys.argv)>1): s=int(sys.argv[1])if (s>127): sys.exit(1)u=4n=pow(2,s)-1print (f"n=2^{s}-1={n}n")for k in range(1,s-1): u=((u*u)-2) %n print (u,end=' ')if (u==0): print ("nnIt is prime")else: print ("nnIt is not prime") And a sample run for 2¹⁹-1 [here]: n=2^19-1=52428714 194 37634 218767 510066 386344 323156 218526 504140 103469 417706 307417 382989 275842 85226 523263 0 It is prime Conclusions Great Internet Mersenne Prime Search (GIMPS) distributed system continues to try and discover the next Mersenne prime [here]. In April 2021, it stopped using the Lucas-Lehmer, and moved on to the Fermat PRobable Prime (PRP) Test. This uses: a^{p-1} (mod p) = 1 and where p is a prime number. If you want to discover more about the wonderful world of prime numbers, try here: https://asecuritysite.com/primes

[Retrouvez la suite de ce récit dans le deuxième épisode, disponible dès demain sur toutes vos plateformes d'écoute] Embarquez pour un voyage au XVIIe siècle, au cœur de l'histoire de Blaise Pascal, racontée par l'historienne Virginie Girod dans un récit inédit en deux parties. Né en 1623 en Auvergne, Blaise Pascal est originaire d'une famille de juristes. Très vite, son père remarque que Blaise est doté d'une intelligence remarquable. À seulement 11 ans, il déchiffre déjà le théorème d'Euclide, célèbre mathématicien du IV siècle avant J.C. Pour stimuler son esprit de génie, Blaise Pascal intègre l'Académie Mersenne, une société savante où des érudits échangent au sujet des sciences, de l'histoire ou des lettres. Son esprit continue d'épater son entourage. À 18 ans, il invente “la pascaline”, l'ancêtre de la calculatrice. Le jeune mathématicien ne s'arrête pas là. Bientôt, il s'intéresse au vide, et entame des recherches sur l'existence de la pression atmosphérique, jusqu'alors inconnue.Sujets abordés : Mathématique - Sciences - Savoir - Génie - Recherches - Découvertes  "Au cœur de l'histoire" est un podcast Europe 1 Studio. Ecriture et présentation : Virginie Girod - Production : Camille Bichler (avec Florine Silvant)- Direction artistique : Adèle Humbert et Julien Tharaud - Réalisation : Clément Ibrahim - Musique originale : Julien Tharaud - Musiques additionnelles : Julien Tharaud et Sébastien Guidis - Communication : Kelly Decroix - Visuel : Sidonie Mangin

durée : 01:29:04 - La musique et ses philosophes (4/5) : Les Cartésiens. "Les passions sont le sel de la vie." - par : Christophe Dilys - Nous abordons dans ce quatrième épisode (avec Mersenne, Descartes et Leibniz) comment les passions de l'âme sont elles-mêmes sujettes à un traitement scientifique.

In this episode we talk with Mitch Rice, winemaker at Mersenne Wines. This boutique winery chose French Renaissance monk Marin Mersenne as their namesake, to represent their approach to winemaking. Marin Mersenne discovered the formula to find Prime numbers (which is still used today!) and Mersenne Wines believes in finding the perfect, 'prime' fruit to make their wines. This Renaissance man was also one of the first to describe musical harmony, and Mitch and his partner Robin Youngdahl hope to create wines that reflect a harmonious nature. Mitch shares a bottle of his Rutherford AVA Merlot with hosts Coco and Michelle, and blows us away with the complex, inviting style from this often maligned varietal. Mersenne Wines also hosts very intimate concerts for wine club members, and the next one is on April 15th with artist Rozzi. Learn more at mersennewines.com

The path traced out by a given point on the rim of a circle as you roll it along a straight line is a beautiful curve called a cycloid, whose appeal to mathematicians has had it dubbed “the Helen of Geometry”. This curve is known in geometry as a roulette, which is a curve you get by rolling one curve along another, and there are many more with an amazing range of applications, from clockwork toys to nuclear reactors. This lecture will provide a guided tour of the beauty of geometrical curves.A lecture by Sarah HartThe transcript and downloadable versions of the lecture are available from the Gresham College website:https://www.gresham.ac.uk/lectures-and-events/geometrical-curvesGresham College has been giving free public lectures since 1597. This tradition continues today with all of our five or so public lectures a week being made available for free download from our website. There are currently over 2,000 lectures free to access or download from the website.Website: http://www.gresham.ac.ukTwitter: http://twitter.com/GreshamCollegeFacebook: https://www.facebook.com/greshamcollegeInstagram: http://www.instagram.com/greshamcollege

 La chaîne YouTube Maths en Tête :https://www.youtube.com/channel/UCpbU7mXDloketKRA92AcW7Q Le site Maths en Tête :https://www.mathsentete.fr/ Le problème de l'échiquier de Sissa, également connu sous les noms de problème des grains de blé et de l'échiquier et problème des grains de riz et de l'échiquier est un problème mathématique pouvant s'exprimer ainsi : « On place un grain de riz (ou de blé) sur la première case d'un échiquier. Si on fait en sorte de doubler à chaque case le nombre de grains de la case précédente (un grain sur la première case, deux sur la deuxième, quatre sur la troisième, etc.), combien de grains de riz obtient-on au total ? » Le problème peut être résolu par une addition où chaque valeur est le double de la précédente. Puisqu'un échiquier possède 64 cases, le total des grains est de 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128... jusqu'à la 64ème case. On obtient ainsi 18 446 744 073 709 551 615 grains, ce qui correspond au 64ème nombre de Mersenne.   Soutenez-nous !

04 Mersenne Twister by Red Coat

Both wineries featured in this podcast, Mersenne Wines and Capo Creek Ranch, pay tribute to musicians. Mersenne created a wine label for a British band, and Capo Creek has named a vineyard after a beloved performer. That's one aspect of each winery you'll appreciate as I get in-depth with their stories of overcoming obstacles. Mitch Rice of Mersenne Prime Artisan Wines entrance into the industry wasn't too complicated. He had experience as a home winemaker before taking the leap as a winery owner. Though his beginnings were less challenging, delicate maneuvering was needed to "secure" his partner. As it turned out, their brand features a love story that is wrapped in historical lore...which I greatly respect. However, if you buy a vineyard there are many more hurdles. Sisters Mary and Nadine Roy of Capo Creek Ranch did purchase land and it took several years to get their footing. They're strumming along now and offer a wine and food pairing that is par excellence! It was quite an unexpected chapter following their lives as owners of a medical practice in Chicago, when one day an unsolicited pamphlet arrived in the mail that completely changed their life's direction...eventually. Join me for these tales of persistence by Mersenne Wines and Capo Creek Ranch, as heard On The Wine Road...

Both of the wineries featured in this podcast pay tribute to musicians. Mersenne has a wine label for a band, and Capo Creek has named a vineyard after a beloved performer. That's one similar aspect of each winery you'll appreciate as I get in-depth with their stories of overcoming obstacles as they were starting their brands.

This newsletter is really a public policy thought-letter. While excellent newsletters on specific themes within public policy already exist, this thought-letter is about frameworks, mental models, and key ideas that will hopefully help you think about any public policy problem in imaginative ways. It seeks to answer just one question: how do I think about a particular public policy problem/solution?PS: If you enjoy listening instead of reading, we have this edition available as an audio narration on all podcasting platforms courtesy the good folks at Ad-Auris. Global Policy Watch — Storming Se Storming Tak: From 1642 To 2021- RSJHere’s a short quiz to begin things. What’s common to these dates (not an exhaustive list)?4 January 1642: EnglandFeb 27, 1933: Germany Feb 23, 1981: SpainApril 27, 2017: MacedoniaDifficult? Here’s a clue. The latest entrant to this listJan 6, 2021: USA‘Workout-able’ now? These are select instances of attacks on parliament buildings in democracies over the years. Of course, this is different from attacks that happen within the parliament building where lawmakers have a go at each other using microphone stands, paper-weights and files as projectiles. That’s a rich and glorious tradition where Taiwan, South Korea and India are global leaders.The attacks on parliament from the outside is a different phenomenon. It points to a fracture in the common belief among citizens about the power or legitimacy of the sovereign. This is not mere symbolism. Often the attacks are real attempts to disrupt or change the outcomes of a parliamentary process to elect the head of the government. That’s what happened, say, in Spain on Feb 23, 1981 when Lt. Col Tejero and his small band of army men burst into the lower house of the Spanish legislature during the vote to elect a new Prime Minister. The attempt to overthrow the democratic regime came unstuck when King Juan Carlos denounced it in a televised address. The storming of the Macedonian parliament in 2017 was done in somewhat similar circumstances though without any section of army backing it. That brings us to Germany. The fire at Reichstag in 1933 right after the Hitler had been sworn in as the Chancellor was blamed on a communist conspiracy. It is almost certain now that this was engineered by the Nazis to demonise their opponents. This incident of arson was then used by the Nazis to issue a nationwide emergency and pursue the communists with a vengeance. The Communists MPs were arrested and the Nazis won the elections to those vacant seats as was expected. Within a year the Nazis had complete control over the German state. You know how that story ends.The Original StormingMy interest, however, is in the first instance of the storming of a Parliament: Jan 4, 1642. This was no ordinary rebel laying siege over the lawmakers in Westminster. It was Charles I, the king of England. He entered the Parliament with armed soldiers to arrest five MPs who he accused of treason. What had they done? Well, to the king and his loyalists, they were anti-nationals. Sounds familiar. They were accused of encouraging Scotland to invade England and a conspiracy to defame the king. Charles went into the parliament and called out the name of the five MPs seeking their arrest. He asked the House speaker, William Lenthall, about their whereabouts. Lenthall responded:“May it please your majesty, I have neither eyes to see nor tongue to speak in this place but as this House is pleased to direct me whose servant I am here; and I humbly beg your majesty's pardon that I cannot give any other answer than this to what your majesty is pleased to demand of me.” In a historic first of sorts, the speaker had sided with the parliament over the divine will of the king.“All my birds have flown,” Charles I said as he scanned the member benches for the five MPs.The storming of the parliament by Charles I was a seminal moment in the history of democracy. The tussle for sovereignty between the parliament and monarchy that had been simmering for over three decades had reached its flashpoint. The English parliament in those days was a collection of landed gentry who controlled the exchequer through their power of collecting taxes. The king needed its approval to raise taxes. By the time Charles I ascended the throne in 1625, the Crown was deep in debt no thanks to the expensive wars of the Tudor and Stuart periods and the lavish lifestyles of the royalty. This apart Charles had other problems too. There was a deep suspicion among the aristocrats about the strength of his Protestant affiliation after he married the Catholic Bourbon princess Maria of France. His subsequent religious acts did nothing to dispel this impression. The desire of Charles I to go to war with Scotland meant he wanted the parliament to increase taxes and do his bidding. The parliament continued to resist and Charles dissolved it in 1629. The next 11 years when he ruled without a sitting parliament is termed his ‘personal rule’. He introduced new taxes arbitrarily, supported Catholic religious policies and hounded the aristocrats who opposed him. The tyranny was going well but for a small hitch. He still needed the parliament to convene for collecting the tax revenues. He called a new parliament in 1640 in the hope he will be able to control it. Not quite. The parliament passed an act that forbade its own dissolution and went about rolling back the policies that Charles had set in motion. The stage was set for him to storm the parliament looking for the errant MPs.The Post-Metaphysical AgeThe storming of the parliament led to what is collectively called the English Civil Wars (1642-1651) between the Royalists and the Parliamentarians. Charles I was tried and executed in 1649 (none of this namby-pamby impeachment business in those days). There were three key outcomes of the civil wars:The replacement of English monarch by the Commonwealth of EnglandThe consolidation of Protestant ascendancy and the defeat of Catholicism in England. The downstream impact of this was hugeThe precedent that the English monarch cannot rule without the Parliament’s approval. The seal of Parliamentary sovereignty and the establishment of individual rights, however, were legally established only after the Glorious Revolution of 1688. There’s a subplot here. A gifted English polymath who had fled England in 1640 to Paris watched all this unfold with interest and concern. A man of science who counted Galileo, Bacon and Mersenne among his friends, he was developing a theory of about people, nature and politics as he came to terms with the chaos in his country. He was also the tutor to Charles II, the young prince, who was in exile in Paris. By 1650, he was ready with his magnum opus that broke new ground on the relation between the state and its subjects. In 1651, he returned to England. His name was Thomas Hobbes. The book was Leviathan. The Genesis Of The Modern Liberal StateHobbes is, arguably, the founder of modern political philosophy and Leviathan is a masterpiece of original thinking. Hobbes made three core arguments in it:The State of Nature: Human beings left to themselves will pursue their objectives of maximising their comforts. These pursuits will bring them in conflict with others. People are similar (within a range) in terms of their physical and mental prowess. So no one person can dominate others for long. This led him to conclude that humans in their state of nature would be in constant strife with one another. “A war of everyone against everyone” is how he called it. In this state, he famously said, human life would be “nasty, brutish and short.”The Laws of Nature: Hobbes argued that humans were rational beings who understood the futility of living in the state of nature. They would seek a practical solution to establish peace. To Hobbes, this solution was for people to establish mutual covenant (agreement) among themselves to submit to the authority of a sovereign. Simply put, people will be willing to forego some of their freedoms to a sovereign institution in return for peace and rule of law governed by that authority.Unlimited Sovereign Authority: For Hobbes, once the people had come together to hand over the power to the sovereign, its power was unlimited. There was no quid pro quo involved here. No real checks and balances. So long as the sovereign kept peace among its people and protected them from outside powers, it retained its political legitimacy. Nothing else mattered. Any attempt to split the powers of the sovereign would render it ineffective. The impact of Leviathan on future political philosophers was profound. In many ways, it is the foundational text of the modern state. Everyone from Locke, Rousseau, Weber to Rawls have used it either as a springboard or as a counter to develop their social and political theories. The criticism of Hobbes over the centuries is also useful to shine a light on the originality of his thinking. The usual arguments offered against his political philosophy include:A bleak view of human nature: The short conclusion easily drawn from Leviathan is that Hobbes held no illusions about the nature of human beings. Left to themselves in a natural state, they would be in an endless series of internecine wars. This is Hunger Games territory. But Hobbes was a bit more nuanced than that. To him, it is not human nature to be in a war of everyone against everyone. Instead, in the absence of laws and its enforcer, human beings pursuing their rational interests will get in the way of each other. This will be the basis for strife and not the absence of better angels of their natureSocial contract theorist: Some view Hobbes belonging to the line of social contract theorists who thought and wrote about the arrangement between the society and the state or the ruled and the rulers. This isn’t exactly accurate. Social contract theory assumes that society already exists with a contract among its members. The society then enters into a ‘second contract’ with the state by relinquishing some of its freedom in exchange for peace and stability from the sovereign. For Hobbes, there was no second contract. The society or the state don’t exist ab initio. There is only a single contract - the covenant between the members of the society to come together. The sovereign emerges from this. It is almost like the ‘Big Bang’ theory of political philosophy.Totalitarian: The other criticism of Hobbes is he justifies a totalitarian regime when he lets the sovereign off the hook for any kind of quid pro quo contract with the society. This is misreading of the term absolute. Hobbes considers the sovereign absolute in terms of its power which means they ‘can interfere’ in ‘any aspect’ of the lives of its citizens. This is different from a totalitarian regime which is based on the idea that the state ‘will permeate’ into ‘every aspect’ of the lives of its people. In fact, Hobbes was the first to free religion from the construct of the state. Once you are free from theology, you set the basis for a liberal state. Bookended By HobbesThe storming of the Capitol building by pro-Trump protesters marks a moment in the history of democracy in America. There’s always a temptation to over-read the current moment. But the irreversible slide of the discourse, the shrinking of the middle ground with a loony, conspiracy-theory fed right and an anarchist, self-righteous left and an almost cult-like adherence to prior beliefs that get accentuated in the echo chambers of social media have meant this moment was nigh. The strength of the social covenant (“we, the people) is under stress rarely experienced before. Once that covenant is broken, the political authority wanes or gets delegitimised as we see it happening in America for most of last year. Unless checked and reversed, we will be back to the state of nature. Chaos will follow. Maybe there’s a polymath philosopher watching all of this unfold with unease while developing an original political thesis like Hobbes over four hundred years ago. The storming of the English parliament of 1642 and the siege of the Capitol in 2021 seem to bookend the political era whose foundation was laid by Hobbes. There’s a need for a new social contract for these times. A Framework a Week: OOOTools for thinking public policy— Pranay KotasthaneThe union government’s first post-pandemic budget will be presented in the Parliament on Feb 1. The all-consuming buildup has already begun as if it were a Rajinikanth movie. As the budget date nears, you will come across many more number-based narratives — the need for higher public health expenditure, the imperative to reduce allocations for subsidies, and the necessity to adequately fund the requirements of our armed forces. So let’s revisit a framework that helps put these numbers in perspective. The Outlays-Outputs-Outcomes (OOO) framework is a useful way to analyse the many schemes that the Finance Minister will announce on Feb 1. Inputs/Outlays refer to the resources provided to a scheme or project that the government runs. Once the budget is presented, virtually all the public discussion will be on these outlays. This gives an idea of how the union government prioritises all its functions. But as we all know, outlays for a project is no guarantee for success. To measure success, policies or schemes need two other parameters: outputs and outcomes. Outputs refer to the direct and measurable product of program activities, often expressed in physical terms or units. Outcomes, on the other hand, are the long-term benefits that a project or intervention is designed to deliver.Using this framework allows us to scrutinise government schemes better. As Ajay Shah writes:This framework became famous around education, where the inputs are school buildings and recruitment of teachers, the outputs are kids who are enrolled and attend school, and the outcomes are what the kids actually know. From about 2004 onwards, we have understood that very large increases in public expenditure in the per-pupil expenses were associated with essentially no gains in the outcomes. The education bureaucracy has proclaimed its victories as counted by school buildings, teachers employed or kids enrolled. But at a fundamental level, state spending on elementary education has not delivered: vast increases in the input has not delivered gains in the outcome.This framework also yields a useful vocabulary for measuring success. We can assess policies in terms of its economy, efficiency, and effectiveness. Economy refers to inputs. It answers the question: are project inputs being purchased at the right price? Efficiency relates to outputs over inputs. It answers the question: what is the relationship between investment in inputs and the outputs that are produced? Effectiveness relates to outcomes over outputs. It answers the question: are outputs leading to the expected outcomes? (all definitions are taken from Indicators of Inputs, Activities, Outputs, Outcomes and Impacts in Security and Justice Programming, DFID).Ideally, any government programme should begin with a theory of change that connects the desired end state (outcomes) to the programme activities that need to be carried out (outputs) which further require a set of resources (inputs). Seen from this frame, a policy that fails to achieve the desired outcomes can mean two things. One, that there was an implementation failure. Insufficient outlays or difficulty in converting outlays into outputs due to corruption are examples of implementation issues. Two, that there was a theory of change failure which means that the assumed causal linkage between outputs and outcomes was incorrect. In the Indian context, a commonly held notion is that governments have good policies but poor implementation. What’s less appreciated is that policies often fail because the underlying theory of change itself is inaccurate. Better data and feedback help uncover this theory of change failure. For example, ASER surveys have now shifted the conversation on education by disproving the theory that more schools and better-paid teachers alone can lead to better student learning outcomes. The National Family Health Survey data can similarly help question the assumed causal linkages between health outlays, outputs, and outcomes. It is indeed a positive sign that on both health and education, we are talking effectiveness and not just outlays. This reflects that governance in these areas is maturing. PS: For the upcoming budget, skip the outlay PDFs and open this new document called the Output Outcome Framework. It maps each government scheme outlay to the desired outcomes and outputs over the next financial year. If the budget were also to map the performance of each scheme against the promised outcomes in the year gone by, it will go a long way in correcting both implementation and theory of change failures.Matsyanyaaya: False Equivalences with Chinese Characteristics Big fish eating small fish = Foreign Policy in action— Pranay KotasthanePolitical turmoil in the US has understandably shaken many of us here in India. Events of this magnitude lead to a general despondency about democracy itself. The hope is that this despondency would get displaced by introspection and positive alternatives. At the same time, we need to guard against narratives that cite these events to equate the US and China. One strand of Indian strategic thought has long held the view that a world order shaped predominantly by the PRC might be just as good (or bad) for India as the current one underpinned by US power. China’s border incursions last year led to the deprecation of this narrative but the churn in the US can give it a new lease of life. Aided by the PRC’s attempts at drawing false equivalences on one hand and spurred by the self-criticism that is bound to dominate American thinking, we might see arguments such as this make a comeback:We do not know how Chinese hegemony will work in the future, but we know the exploitative and heinous character of the French and the British Empires. The question is, why are we not as afraid of the West as we are of the Chinese? [China is Not Alone in Adding to the Indian Ocean Woes, Economic & Political Weekly, Atul Bhardwaj, April 2018]Nothing can be further from the truth. For one, there is enough evidence to suggest that a Sinocentric world order will not align with India’s quest for yogakshema — peace and prosperity for all Indians. Look at the way China has alienated — simultaneously and purposively — a new generation of peoples in all of its neighbouring countries. Look at how the Chinese Communist Party has imposed one language on a diverse set of its own peoples. And finally, look at how it has transformed its all-weather friend into a mere tributary. Second, it’s true that the US conduct on the liberal international order is not untainted. But the norm of a liberal international order is in India’s own self-interest. We must and we do question the US when it deviates from this norm. For example, the Indian PM’s condemnation of the Capitol violence is possible in the current order. In a Sinocentric world, this norm itself will cease to exist. If the Indian PM were to criticise something even remotely equivalent in China, the party-state will spring into concerted anti-India action in economic, political, and military dimensions.These are two clear and important differences that we shouldn’t take our eyes off in the zeitgeist. HomeWorkReading and listening recommendations on public policy matters[Book] Leviathan by Thomas Hobbes with an essay by the late W. G. Pogson Smith (skip the religious bits) [Article] Tom Mctague in The Atlantic: Is This How Greatness Ends? [Article] Rathin Roy distinguishes between the better and worse forms of deficit financing.[Paper] Abel Schumann’s OECD paper Using Outcome Indicators to Improve Policies is a must-read for public policy enthusiasts.[Podcast] Indrani Bagchi discusses the geopolitics of the Quadrilateral Security Dialogue on Puliyabaazi. . Get on the email list at publicpolicy.substack.com

¡Hola de nuevo, fluxeros! ¿Alguna vez has escuchado hablar del acertijo del trigo y el tablero de ajedrez? ¿O de las torres de Hanói? ¿Y de la famosa charla de Frank Nelson Cole en la que, sin decir nada, probó que un número era compuesto usando las cuentas realizadas durante los domingos durante tres años?Si quieres escuchar un poco de todo esto o echar un buen ratito con los Fluxions, acompañados de Bart, Almu y una tercera temporada llena de risas y conocimiento, ¿a qué esperas? ¡Dale al play y fluxea!Bibliografía:Colaboradores de Wikipedia. (2020, 23 octubre). Número primo de Mersenne. Wikipedia.Wikipedia contributors. (2020a, junio 29). Lucas–Lehmer primality test. Wikipedia.Wikipedia contributors. (2020c, noviembre 8). Wieferich prime. Wikipedia.Música • > Red, White, Black & Blue by PEG & The Rejected is licensed under a Attribution-NonCommercial-ShareAlike License. • > Shipping Lanes by Chad Crouch is licensed under a Attribution-NonCommercial 3.0 International License. • > Organisms by Chad Crouch is licensed under a Attribution-NonCommercial 3.0 International License. • > Moonrise by Chad Crouch is licensed under a Attribution-NonCommercial 3.0 International License. • > Algorithms by Chad Crouch is licensed under a Attribution-NonCommercial 3.0 International License.

Beschreibungstexte sind wie Blumen, im Winter gehen sie leichter von der Hand als, wenn es draußen warm ist. Beschreibungstexte sind wie Plastik, die Welt wäre ein besserer Ort, wenn es nicht so viele geben würde. Beschreibungstexte sind wie Buchstaben, keiner liest sie richtig. Beschreibungstexte sind wie Wasser, angeblich systemrelevant! Heute geht es um: Club der Detektive, Quickies noch und nöcher und ein Ausflug in die wunderbare Welt der Mathematik Instagram: @1000Fragen.podcast @leoBausW

Wykład autorów książki „Matematyczna bombonierka”, XXI Festiwal Nauki w Warszawie [24 września 2017] Wbrew społecznym stereotypom matematyka może być ciekawa i intrygująca! Przekonywali o tym podczas wykładu w trakcie XXI Festiwalu Nauki matematycy dr Krzysztof Ciesielski i dr Zdzisław Pogoda – autorzy książki „Matematyczna bombonierka”, prezentując różne ciekawostki i anegdoty związane ze swoją dziedziną wiedzy. Prelegenci, którzy w ubiegłym roku otrzymali za swoją książkę nagrodę „Złotej róży” dla najlepszej publikacji popularnonaukowej, podzieli swoje wystąpienie na dwie części. Część pierwsza poprowadzona przez dr. Krzysztofa Ciesielskiego, poświęcona została geometrii. W trakcie drugiej, dr Zdzisław Ciesielski mówił o zagadnieniach związanych z liczbami. Dr Ciesielski przedstawił słuchaczom rozmaitości dwuwymiarowe i trójwymiarowe. Mowa była m.in. o płaszczakach, butelce Kleina i hipotezie Poincarégo (udowodnionej przez rosyjskiego matematyka Grigorija Perelmana). Dr Pogoda mówił przede wszystkim o różnych zagadkach związanych z liczbami pierwszymi. Wśród poruszonych przez niego zagadnień znalazły się liczby pierwsze Mersenne'a, sito Eratostenesa, liczby bliźniacze, trojaczki czy hipoteza Goldbacha.

durée : 00:04:46 - Un été avec Pascal - par : Antoine Compagnon - Pascal grandit parmi les savants. Dès son plus jeune âge, il accompagna son père aux séances de l’académie du père Mersenne. Dans ce salon scientifique, il rencontra Roberval, Descartes, Gassendi. Et il correspondit très tôt avec Fermat.

On today's episode we chat with Mitch Rice, winemaker for micro-winery Mersenne wines. We chat about how the winery came about, how they got their name and the fun ways they incorporate music into their winery experience. https://www.mersennewines.com/

Sejam bem-vindos ao quadringentésimo septuagésimo Spin de Notícias, o seu giro diário de informações científicas... em escala sub-atômica.E nesse Spin de Notícias falaremos sobre... Matemática!*Este episódio, assim como tantos outros projetos vindouros, só foi possível por conta do Patronato do SciCast. Se você quiser mais episódios assim, contribua conosco!*

Sejam bem-vindos ao quadringentésimo septuagésimo Spin de Notícias, o seu giro diário de informações científicas... em escala sub-atômica.E nesse Spin de Notícias falaremos sobre... Matemática!*Este episódio, assim como tantos outros projetos vindouros, só foi possível por conta do Patronato do SciCast. Se você quiser mais episódios assim, contribua conosco!*

Chris tries to inject some mathematics into the podcast, but Denny and Eddy take it in the complete opposite direction. Did you think the answer should have been 2047, the smallest composite pernicious Mersenne prime? Do you need something settled? Let us know at AlrightItsSettled@gmail.com

Tom Klaassen verkent iedere zaterdag en zondag tussen 23.00 en 24.00 uur de grenzen van de klassieke muziek. Met nieuwe releases, concerttips, reportages, actuele ontwikkelingen in de muziekwereld, een vaste plek voor jong talent, en natuurlijk: adembenemende muziek! Met vanavond werken van: Arvo Pärt, Gerald Finzi, Etienne Moulinié, Marin Mersenne, en Jesse Passenier and the Fluid Orchestra.

Cycle de conférences organisées par la Bibliothèque nationale de France et la Société mathématique de France. Conférence du 14 mars 2018. Conférences organisées à l'attention du grand public, des professeurs du second degré et des lycéens et étudiants, les conférenciers partent d'un texte, ou d'un corpus de textes, et montrent en quoi ce texte les a influencés personnellement et a conduit à des recherches contemporaines.

Cycle de conférences organisées par la Bibliothèque nationale de France et la Société mathématique de France. Conférence du 14 mars 2018. Conférences organisées à l'attention du grand public, des professeurs du second degré et des lycéens et étudiants, les conférenciers partent d'un texte, ou d'un corpus de textes, et montrent en quoi ce texte les a influencés personnellement et a conduit à des recherches contemporaines.

Raising children is demanding. It takes time, money and devotion. So, why would anyone want to raise another person's child? Can mothers who adopt or foster have the same connection to their children as a birth mother would? We explore what it means to be a parent. Mathematician Matt Parker on the unsung prime numbers such as the Mersenne 49 - the largest ever found. Whistleblowers from inside YouTube's voluntary Trusted Flagger scheme, which helps identify potential child groomers, tell us that the company are failing to respond to the vast majority of reports from them and the public. An unsolved murder of a young man in Washington DC last year has sparked widespread conspiracy theories online. But these aren't just any kind of conspiracy theories – they are linked to people in positions of power. Why has one murder led to such a huge response online? (image credit: Shutterstock/family)

Get a new Fatal Error episode every week by becoming a Patreon supporter!This week, Soroush was in Melbourne, Australia for the Playgrounds conference. In this episode, Chris interviews him about the conference, his talk, and other talks he found interesting.Playgrounds ConferenceSoroush's slides: Everything You Ever Wanted To Know About Sequence And CollectionA Beginner's Guide to Big O NotationBig-O Cheat SheetSwift sequence & collection types:SequenceCollectionBidirectionalCollectionRandomAccessCollectionMutableCollectionRangeReplaceableCollectionIteratorProtocolStack Overflow: MutableCollection vs RangeReplaceableCollectionDoubly-Linked ListMatt Comi, StagehandStack Overflow answer on pathfinding algorithms, with links to additional readingRay TracingMatt Gallagher: Cocoa With LoveMersenne primesUnsafeMutableBufferPointerSwift optimization tip: Use unchecked integer arithmetic when you can prove that overflow cannot occurTamar NachmanyJason BrennanSamuel GiddinsChris: String is not a sufficient typeChris EidhofHarlan HaskinsKaleidoscope 

We start with the IceWorks Mersenne Percussive synth, Eno's new album the Ship, Morricone oscar, Sonicstate Bristol gig sold out, Bluetooth MIDI from Yamaha and MIDI Thing, the Bela embedded audio/dsp board running on Beagleboard, Eventide Octavox, Stalactite Organ, AUM iOS mixer.

We start with the IceWorks Mersenne Percussive synth, Eno's new album the Ship, Morricone oscar, Sonicstate Bristol gig sold out, Bluetooth MIDI from Yamaha and MIDI Thing, the Bela embedded audio/dsp board running on Beagleboard, Eventide Octavox, Stalactite Organ, AUM iOS mixer.

Wemo Smart LED bulbs (efficient when dimmed, control with Amazon Echo), IT Standards for uptime (FIPS 199, NIST defines government standards), replacing HD with SSD (a no brainer), Mersenne prime numbers, streaming Vietnamese music (recommended sites), Profiles in IT (Nii Quaynor, Father of African Internet), drone crashes into Enpire State Building (operator arrested), Superbowl cameras revealed (EyeVision 360, Pylong Cameras, Wildcat Skycam), streaming Superbowl (free using CBS app), Superbowl stadium (13,000 Wi-Fi access points, 1,700 Bluetooth beacons, dedicated app with replays), and Google showing anti-ISIS ads (partnership with selected NGOs). This show originally aired on Saturday, February 6, 2016, at 9:00 AM EST on WFED (1500 AM).

Wemo Smart LED bulbs (efficient when dimmed, control with Amazon Echo), IT Standards for uptime (FIPS 199, NIST defines government standards), replacing HD with SSD (a no brainer), Mersenne prime numbers, streaming Vietnamese music (recommended sites), Profiles in IT (Nii Quaynor, Father of African Internet), drone crashes into Enpire State Building (operator arrested), Superbowl cameras revealed (EyeVision 360, Pylong Cameras, Wildcat Skycam), streaming Superbowl (free using CBS app), Superbowl stadium (13,000 Wi-Fi access points, 1,700 Bluetooth beacons, dedicated app with replays), and Google showing anti-ISIS ads (partnership with selected NGOs). This show originally aired on Saturday, February 6, 2016, at 9:00 AM EST on WFED (1500 AM).

Tercer capítulo de No me pises lo fregao, esta vez os traemos concursitos, juegos, os hablaremos del palillo de dientes y sus variantes, expresiones que dan lugar a errores, la profesión de barbero, el número de Mersenne y muchas cosas más; diversión asegurada post veraniega con los fregaderos. Coge una rebequita que ya ha cambiado el tiempo y disfruta del programa.

Android Police Podcast Ep.127 - A Mersenne Prime by Android Police

On a été frappé depuis longtemps par le fait que deux auteurs contemporains qui ne se connaissent nullement, René Descartes et Giulio Caccini, ont eu en commun une définition de la fin de la musique, celle de représenter, voire de provoquer des passions. Le fait que cette expression des passions, qui paraît culminer au XVIIe siècle italien dans les madrigaux de Monteverdi, et plus généralement dans le style représentatif à la naissance de l’opéra, figurant la colère, le désespoir, l’amour, la haine, le désir etc., soit aisément identifiable par l’auditeur ne dispense pas d’une réflexion plus théorique sur le moyens mis en œuvre dans cette expression et cette identification : comment savons nous qu’une musique est triste ou gaie ? D’où vient ce qu’un poète et théoricien appelait sa « secrète énergie » ? Il s’agit d’une question classique, nullement limitée à la période baroque, qui est encore aujourd’hui discutée par de nombreux musicologues contemporains dans les domaines musicaux les plus divers. Le propos de cette intervention est d’examiner brièvement la situation du problème au début du XVIIe siècle, à partir de l’évocation de questions théoriques tels qu’elles se posent au moment d’un renouveau sans précédent des modes de rationalité philosophique et des moyens d’expression artistique. Il sera organisé à partir de la recherche des éléments musicaux auxquels est attribuée une fonction affective dans son rapport avec un texte: rythme et mesure, hauteur, modes, accents, timbre, à travers l’évocation de quelques moments de théorie ou de critique, par exemple de Pontus de Tyard, de Mersenne, ou de Descartes. On terminera sur un problème paradoxal avec lequel Descartes s’explique au tout début et à la toute fin de sa carrière philosophique, à savoir que l’on peut reconnaître une pièce de musique comme triste et néanmoins éprouver de la joie à l’entendre : preuve que ce n’est pas exactement la même chose que de représenter et de provoquer des passions. !

On a été frappé depuis longtemps par le fait que deux auteurs contemporains qui ne se connaissent nullement, René Descartes et Giulio Caccini, ont eu en commun une définition de la fin de la musique, celle de représenter, voire de provoquer des passions. Le fait que cette expression des passions, qui paraît culminer au XVIIe siècle italien dans les madrigaux de Monteverdi, et plus généralement dans le style représentatif à la naissance de l’opéra, figurant la colère, le désespoir, l’amour, la haine, le désir etc., soit aisément identifiable par l’auditeur ne dispense pas d’une réflexion plus théorique sur le moyens mis en œuvre dans cette expression et cette identification : comment savons nous qu’une musique est triste ou gaie ? D’où vient ce qu’un poète et théoricien appelait sa « secrète énergie » ? Il s’agit d’une question classique, nullement limitée à la période baroque, qui est encore aujourd’hui discutée par de nombreux musicologues contemporains dans les domaines musicaux les plus divers. Le propos de cette intervention est d’examiner brièvement la situation du problème au début du XVIIe siècle, à partir de l’évocation de questions théoriques tels qu’elles se posent au moment d’un renouveau sans précédent des modes de rationalité philosophique et des moyens d’expression artistique. Il sera organisé à partir de la recherche des éléments musicaux auxquels est attribuée une fonction affective dans son rapport avec un texte: rythme et mesure, hauteur, modes, accents, timbre, à travers l’évocation de quelques moments de théorie ou de critique, par exemple de Pontus de Tyard, de Mersenne, ou de Descartes. On terminera sur un problème paradoxal avec lequel Descartes s’explique au tout début et à la toute fin de sa carrière philosophique, à savoir que l’on peut reconnaître une pièce de musique comme triste et néanmoins éprouver de la joie à l’entendre : preuve que ce n’est pas exactement la même chose que de représenter et de provoquer des passions. !

Les flots et les multiflots permettent de modéliser de nombreux problèmes notamment les problèmes d'optimisation de réseaux de différents types : transport, énergie, logistique, hydraulique, télécommunications, etc... Les modèles obtenus sont souvent des programmes linéaires en nombres entiers de grandes dimensions. Leur résolution nécessite alors le développement de méthodes mathématiques et algorithmiques sophistiquées. Dans cet exposé, les problèmes de multiflots ainsi que les méthodes de recherche opérationnelle qui permettent de les résoudre seront présentés. Des applications aux problèmes de télécommunications seront également exposées. Vous pouvez entendre l'intervention, tout en visualisant le Power Point, en cliquant sur ce lien : http://epn.univ-paris1.fr/modules/UFR27semSAMOS/Seminaire_SAMM_20091106_Varnier/Seminaire_SAMM_20091106_Varnier.html. Ecouter l'intervention : Bande son disponible au format mp3 Durée : 1H13

Transcript -- How Fermat communicated his findings to Wallis.

How Fermat communicated his findings to Wallis.

Transcript -- How Fermat communicated his findings to Wallis.

How Fermat communicated his findings to Wallis.

Just two months ago, the Great Internet Mersenne Prime Search, discovered a huge prime number, with more than ten million digits! Mersenne primes are closely related to the famous "perfect" numbers, numbers which are the sum of their divisors.

Did we just discover a magical journal of some sort revealing the secrets Descartes' only disclosed to his inner circle? Astral travel? Secrets to the transmutation of the soul? Homunculi watchers? The moon is a base for wandering souls? The creation of other universes and dimensions? A COMET-RIDING CHINESE ALCHEMICAL WIZARD?!?!? This book connected a lot of missing dots for me that the mainstream "history" couldn't... In this episode, Thomas breaks down our latest read beautifully and we discuss this "fictional story" about Descartes and what we speculate was his "new science." Written by Gabrial Daniel (1649-1728) Printed and sold in 1692. "A Voyage to the World of Cartesius is a fictionalized travel narrative with elements of science fiction and philosophy. It is aimed principally at the sharp Cartesian distinction between body and soul, relating in a satirical fashion the voyage of the disembodied souls of the narrator Mersenne and of another old friend of Descartes in the upper spheres [of outer space]."Let us know your thoughts on this book... You can read this book at https://quod.lib.umich.edu/cgi/t/text/text-idx?c=eebo;idno=A36424.0001.001You can find my new journal, Occultis Mundi here! https://ko-fi.com/tjojpTHESE ARE THE BEST WAYS TO SUPPORT THE SHOW!PayPal: paypal.me/tjojpCashapp: $jayala54Ko-fi.com/tjojpPATREON.COM/THEJUANONJUANPODCASTROKFIN.COM/THEJUANONJUANPODCASTYouTube.com/@juanonjuanpodcastTeePublic.com/user/the-juan-on-juan-podcastPlease leave us a review wherever you listen to your podcasts! It will help the show.Also follow me on social media at:Alt Media UnitedCheck out our website at www.thejuanonjuanpodcast.comPatreon exclusive ad-free content and early access: www.patreon.com/thejuanonjuanpodcastListen on a platform that supports us directly at Rokfin.com/thejuanonjuanpodcastYouTube: https://www.youtube.com/@juanonjuanpodcastInstagram: @thejuanonjuanpodcastTelegram: https://t.me/tjojpDiscord: https://discord.gg/HaB6wUunsJTikTok: @thejuanonjuanpodcastStake your Cardano with us at FIGHT POOL at fightpool.io!Thank you for tuning in!Support this podcast at — https://redcircle.com/juan-on-juan/donationsAdvertising Inquiries: https://redcircle.com/brandsPrivacy & Opt-Out: https://redcircle.com/privacy