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#numbertheory — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #numbertheory, aggregated by home.social.

  1. Fable 5.1 - max: pedagogical report for Graduate / researcher new to the #decompwlj ➡️ decompwlj.com/WeightLevelJump_

    How to read this report

    Primes VS Model A, the classic Cramér sequence

    Twelve fingerprints

    The complete status ledger

    #math #NumberTheory #number #sequence #AI #Claude #Fable #Anthropic

  2. Fable 5.1 - max: pedagogical report for Graduate / researcher new to the #decompwlj ➡️ decompwlj.com/WeightLevelJump_

    How to read this report

    Primes VS Model A, the classic Cramér sequence

    Twelve fingerprints

    The complete status ledger

    #math #NumberTheory #number #sequence #AI #Claude #Fable #Anthropic

  3. Fable 5.1 - max: pedagogical report for Graduate / researcher new to the #decompwlj ➡️ decompwlj.com/WeightLevelJump_

    How to read this report

    Primes VS Model A, the classic Cramér sequence

    Twelve fingerprints

    The complete status ledger

    #math #NumberTheory #number #sequence #AI #Claude #Fable #Anthropic

  4. Fable 5.1 - max: pedagogical report for Graduate / researcher new to the #decompwlj ➡️ decompwlj.com/WeightLevelJump_

    How to read this report

    Primes VS Model A, the classic Cramér sequence

    Twelve fingerprints

    The complete status ledger

    #math #NumberTheory #number #sequence #AI #Claude #Fable #Anthropic

  5. Fable 5.1 - max: pedagogical report for Graduate / researcher new to the #decompwlj ➡️ decompwlj.com/WeightLevelJump_

    How to read this report

    Primes VS Model A, the classic Cramér sequence

    Twelve fingerprints

    The complete status ledger

    #math #NumberTheory #number #sequence #AI #Claude #Fable #Anthropic

  6. 🎩🤓 Oh, joy! Yet another riveting tale of nerds with too much time on their hands, this time using a fleet of #Devins (whatever those are) to factor an obscenely large number because, why not? Who knew that playing with numbers could be so... thrilling? #RSA260 totally had it coming. 🧮💥
    cognition.com/blog/factoring-r #nerdsatplay #mathenthusiasts #numbertheory #thrilling #HackerNews #ngated

  7. Alright, future engineers!

    **Modulo Arithmetic:** The remainder after division.
    Ex: `10 mod 3 = 1` (since `10 = 3*3 + 1`).
    Pro-Tip: Super useful for clocks & cyclical patterns – it wraps around!

    #DiscreteMath #NumberTheory #STEM #StudyNotes

  8. New blog post: Claude’s Riemann Hypothesis attempt yields a meaningful partial result—but it is not a proof. For researchers and enthusiasts interested in the current landscape of analytic number theory, this clear 5-minute summary explains the claim, its implications, and remaining challenges. Read more: wix.to/4W2vOe3




  9. New blog post: Claude’s Riemann Hypothesis attempt yields a meaningful partial result—but it is not a proof. For researchers and enthusiasts interested in the current landscape of analytic number theory, this clear 5-minute summary explains the claim, its implications, and remaining challenges. Read more: wix.to/4W2vOe3

    #Research
    #Mathematics
    #NumberTheory
    #RiemannHypothesis

  10. New blog post: Claude’s Riemann Hypothesis attempt yields a meaningful partial result—but it is not a proof. For researchers and enthusiasts interested in the current landscape of analytic number theory, this clear 5-minute summary explains the claim, its implications, and remaining challenges. Read more: wix.to/4W2vOe3

    #Research
    #Mathematics
    #NumberTheory
    #RiemannHypothesis

  11. New blog post: Claude’s Riemann Hypothesis attempt yields a meaningful partial result—but it is not a proof. For researchers and enthusiasts interested in the current landscape of analytic number theory, this clear 5-minute summary explains the claim, its implications, and remaining challenges. Read more: wix.to/4W2vOe3

    #Research
    #Mathematics
    #NumberTheory
    #RiemannHypothesis

  12. New blog post: Claude’s Riemann Hypothesis attempt yields a meaningful partial result—but it is not a proof. For researchers and enthusiasts interested in the current landscape of analytic number theory, this clear 5-minute summary explains the claim, its implications, and remaining challenges. Read more: wix.to/4W2vOe3

    #Research
    #Mathematics
    #NumberTheory
    #RiemannHypothesis

  13. Niels Abel was born 224 years ago, on August 5, 1802. At just 21, he proved that no general algebraic formula can solve equations of degree 5, a problem that had challenged mathematicians for roughly 250 years.

    Short on money, Abel paid the printer himself and condensed his proof into just six pages to keep costs down. He sent a copy to Gauss, but never received a response.

    Abel died of tuberculosis at just 26. Two days later, a letter arrived announcing that he had been appointed professor in Berlin.

    A breakthrough recognized too late.

    #NielsAbel #Mathematics #MathHistory #HistoryOfMathematics #Mathematician #Algebra #AbstractAlgebra #QuinticEquation #Quintic #GaloisTheory #MathematicalHistory #MathFacts #ScienceHistory #STEMHistory #STEM #MathematicalBreakthrough #MathematicalGenius #Norway #NorwegianHistory #CarlFriedrichGauss #Equations #NumberTheory #PureMathematics #MathEducation #ScienceCommunication #OnThisDay #August5 #History #MathematicsLovers #MathTwitter

  14. From a Mathematical Curiosity to the Foundation of Internet Security 🧮🧐🔐✨

    In 1636, Pierre de Fermat made a remarkable observation: if you take an integer a, raise it to a prime power p, and then subtract a, the result is always divisible by p. In other words, for a prime p,

    aᵖ ≡ a (mod p).

    For example, when p = 5:
    2⁵ − 2 = 30, which is divisible by 5, and
    3⁵ − 3 = 240, which is also divisible by 5.

    Fermat found this property elegant and tried to spark interest in this curious corner of mathematics. Not everyone was impressed. John Wallis reportedly dismissed such results, remarking, “Big deal; I could find other relationships just as interesting without much effort, and none of them are important.”

    About a century later, Leonhard Euler was encouraged by Christian Goldbach to study Fermat’s ideas. Though initially unenthusiastic, Euler soon uncovered deeper structure within them. His work laid much of the foundation for what we now call modern number theory.

    #Mathematics #Math #NumberTheory #Fermat #Euler #EulerTheorem #FermatsLittleTheorem #ModularArithmetic #RSA #Cryptography #CyberSecurity #HistoryOfMathematics #MathHistory #PrimeNumbers #EulerTotient #AbstractMath #PureMathematics #STEM #ScienceCommunication #MathEducation #EducationalContent #DidYouKnow #MathematicalBeauty #InternetSecurity #Encryption #Curiosity #Innovation #History #Learning #Knowledge

  15. PRODUCTS OVER PRIME NUMBERS [2/2]:
    \[\displaystyle\prod_{p\in\mathbb{P}}\left(1+\dfrac{1}{p(p+1)}\right)=\prod_{p\in\mathbb{P}}\dfrac{1-p^{-3}}{1-p^{-2}}=\dfrac{\zeta(2)}{\zeta(3)}=\dfrac{\pi^2}{6\zeta(3)}\]
    \[\displaystyle\prod_{p\in\mathbb{P}}\left(1+\dfrac{1}{p(p-1)}\right)=\prod_{p\in\mathbb{P}}\dfrac{1-p^{-6}}{(1-p^{-2})(1-p^{-3})}=\dfrac{\zeta(2)\zeta(3)}{\zeta(6)}=\dfrac{315}{2\pi^4}\zeta(3)\]
    #PrimeProducts #RiemannZetaFunction #EulerProduct #ZetaFunction #InfiniteProduct #NumberTheory