#numbertheory — Public Fediverse posts

A 55-Year-Old Math Problem Was Solved—This Time by Humans

https://fed.brid.gy/r/https://www.wired.com/story/a-55-year-old-math-problem-was-solved-this-time-by-humans/

Opus 5.5: A six-page introduction for Graduates to the decomposition into weight × level + jump of increasing integer sequences, with the primes as the main application.
➡️ https://decompwlj.com/weight-level-jump-graduate-report.html

#decompwlj #math #NumberTheory #PrimeNumbers #AI #Opus5 #sieve #Eratosthenes

2D to 3D: 12 OEIS sequences decomposed into weight × level + jump

5000 sequences decomposed with interactive 3D/2D three.js graphs, CSV exports,OEIS link...
➡️ https://decompwlj.net

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decomposition into weight × level + jump of OEIS sequence A022797: a(n) = n-th prime + n-th nonprime

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A022797

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decomposition into weight × level + jump of OEIS sequence A046642: Numbers k such that k and number of divisors d(k) are relatively prime

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A046642

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

decompwlj 3D: 5000 OEIS integer sequences decomposed into weight × level + jump with interactive 3D/2D three.js graphs - CSV exports - OEIS link - compare sequences - similar sequences...

➡️ https://decompwlj.net

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decomposition into weight × level + jump of OEIS sequence A007951: Ternary sieve: delete every 3rd number, then every 9th, 27th, etc

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A007951

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decomposition into weight × level + jump of OEIS sequence A007931: Numbers that contain only 1's and 2's. Nonempty binary strings of length n in lexicographic order

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A007931

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decomposition into weight × level + jump of OEIS sequence A004921; a(n) = floor(n*phi^6), phi = golden ratio, A001622

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A004921

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Opus 5.5: A six-page introduction for Graduates to the decomposition into weight × level + jump of increasing integer sequences, with the primes as the main application.
➡️ https://decompwlj.com/weight-level-jump-graduate-report.html

#decompwlj #math #NumberTheory #PrimeNumbers #AI #Opus5 #sieve #Eratosthenes

Decomposition into weight × level + jump of OEIS sequence A003726: Numbers with no 3 adjacent 1's in binary expansion

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A003726

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

50 OEIS sequences decomposed into weight × level + jump (log(weight),log(level))

5000 sequences decomposed with interactive 3D/2D three.js graphs, CSV exports,OEIS link... ➡️ https://decompwlj.net

#decompwlj #math #sequence #graph #OEIS #NumberTheory

Decomposition into weight × level + jump of OEIS sequence A002384: Numbers m such that m^2 + m + 1 is prime

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A002384

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decomposition into weight × level + jump of OEIS sequence A003185: a(n) = (4*n+1)*(4*n+5)

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A003185

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decomposition into weight × level + jump of OEIS sequence A001132: Primes == +-1 (mod 8)

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A001132

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decomposition into weight × level + jump of OEIS sequence A000977: Numbers that are divisible by at least three different primes

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A000977

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decomposition into weight × level + jump of OEIS sequence A000062: A Beatty sequence: a(n) = floor(n/(e-2))

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A000062

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

decompwlj 3D: 5000 OEIS integer sequences decomposed into weight × level + jump with interactive 3D/2D three.js graphs - CSV exports - OEIS link - compare sequences - similar sequences...

➡️ https://decompwlj.net

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decomposition into weight × level + jump of OEIS sequence A002522: a(n) = n^2 + 1

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A002522

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decompwlj and the Great Conjectures: Opus 5.5 report: Legendre, Andrica, Cramér, the Riemann Hypothesis, twin primes, Goldbach and Collatz where they touch
➡️ https://decompwlj.com/weight-level-jump-great-conjectures.html

#decompwlj #math #NumberTheory #PrimeNumbers #AI #Opus5 #conjecture

Decomposition into weight × level + jump of OEIS sequence A002479: Numbers of the form x^2 + 2*y^2

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A002479

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Decomposition into weight × level + jump of OEIS sequence A002327: Primes of the form k^2 - k - 1

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A002327

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Conjecture 9 formally proved in Lean 4
➡️ The prime numbers classified by level are rarefying among the primes

https://github.com/decompwlj/Conjecture9inLEAN

#decompwlj #math #NumberTheory #PrimeNumbers #Lean #formal #theorem

Decomposition into weight × level + jump of OEIS sequence A001751: Primes together with primes multiplied by 2

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A001751

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs

Opus 5.5: A six-page introduction for Graduates to the decomposition into weight × level + jump of increasing integer sequences, with the primes as the main application.
➡️ https://decompwlj.com/weight-level-jump-graduate-report.html

#decompwlj #math #NumberTheory #PrimeNumbers #AI #Opus5 #sieve #Eratosthenes

Decomposition into weight × level + jump of OEIS sequence A001651: Numbers not divisible by 3

Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ https://decompwlj.net/seq/A001651

#decompwlj #math #NumberTheory #OEIS #sequence #graph #threejs