#numbertheory — Public Fediverse posts on home.social

Electropict @[email protected] · 2026-08-13 · 13:43 UTC

Watching a mathematician speak some very interesting words about basic #numberTheory ... I say speak, but this seems to be a mathematician who is used to lecturing large halls, and he's addressing what I expect is a small phone on the table in front of him, that is to say he's yelling everything as if he still feels he has to fill a five-hundred-seat theatre with highly percussive enthusiasm. It's fun for short periods but the transcript might be more manageable before long.

#awesomeLungs

#awesomelungs #numbertheory

Rémi Eismann @[email protected] · 2026-08-13 · 05:48 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #conjecture #graph #sieveOfEratosthenes #FundamentalTheoremOfArithmetic #classification

#classification #fundamentaltheoremofarithmetic #sieveoferatosthenes #conjecture #research #threejs

Rémi Eismann @[email protected] · 2026-08-13 · 05:48 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #conjecture #graph #sieveOfEratosthenes #FundamentalTheoremOfArithmetic #classification

#classification #fundamentaltheoremofarithmetic #sieveoferatosthenes #conjecture #research #threejs

Rémi Eismann @[email protected] · 2026-08-13 · 05:46 UTC

A063948: Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x
A063948 ➡️ https://oeis.org/A063948

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Unitary_untouchable_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Unitary_untouchable_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Unitary_untouchable_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-13 · 05:46 UTC

A063948: Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x
A063948 ➡️ https://oeis.org/A063948

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Unitary_untouchable_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Unitary_untouchable_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Unitary_untouchable_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-13 · 05:41 UTC

Decomposition into weight × level + jump of prime numbers:
- a new classification of primes ➡️ https://decompwlj.com/primedecomp.php
- in 3D - threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-13 · 05:41 UTC

Decomposition into weight × level + jump of prime numbers:
- a new classification of primes ➡️ https://decompwlj.com/primedecomp.php
- in 3D - threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-13 · 05:40 UTC

A063825: Numbers k such that k-3, k-5, k-17, k-257, and k-65537 are all primes
A063825 ➡️ https://oeis.org/A063825

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063825.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063825.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063825.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-13 · 05:40 UTC

A063825: Numbers k such that k-3, k-5, k-17, k-257, and k-65537 are all primes
A063825 ➡️ https://oeis.org/A063825

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063825.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063825.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063825.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-13 · 03:31 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #sieveOfEratosthenes

#sieveoferatosthenes #research #threejs #arithmetic #sieve #numbertheory

Rémi Eismann @[email protected] · 2026-08-13 · 03:31 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #sieveOfEratosthenes

#sieveoferatosthenes #research #threejs #arithmetic #sieve #numbertheory

Rémi Eismann @[email protected] · 2026-08-13 · 03:29 UTC

A063638: Primes p such that p-2 is a semiprime
A063638 ➡️ https://oeis.org/A063638

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063638.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063638.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063638.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-13 · 03:29 UTC

A063638: Primes p such that p-2 is a semiprime
A063638 ➡️ https://oeis.org/A063638

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063638.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063638.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063638.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-13 · 03:27 UTC

150 sequences decomposed into weight × level + jump in one GIF (log(weight),log(level)):
1000 sequences decomposed on https://decompwlj.com

#decompwlj #math #mathematics #maths #sequence #OEIS #graph #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-13 · 03:27 UTC

150 sequences decomposed into weight × level + jump in one GIF (log(weight),log(level)):
1000 sequences decomposed on https://decompwlj.com

#decompwlj #math #mathematics #maths #sequence #OEIS #graph #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-13 · 03:25 UTC

A063037: Numbers without 3 consecutive equal binary digits
A063037 ➡️ https://oeis.org/A063037

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063037.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063037.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063037.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-13 · 03:25 UTC

A063037: Numbers without 3 consecutive equal binary digits
A063037 ➡️ https://oeis.org/A063037

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063037.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063037.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063037.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 06:03 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #sieveOfEratosthenes

#sieveoferatosthenes #research #threejs #arithmetic #sieve #numbertheory

Rémi Eismann @[email protected] · 2026-08-12 · 06:03 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #sieveOfEratosthenes

#sieveoferatosthenes #research #threejs #arithmetic #sieve #numbertheory

Rémi Eismann @[email protected] · 2026-08-12 · 06:01 UTC

A062634: Numbers k such that every divisor of k contains the digit 1
A062634 ➡️ https://oeis.org/A062634

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062634.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062634.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062634.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 06:01 UTC

A062634: Numbers k such that every divisor of k contains the digit 1
A062634 ➡️ https://oeis.org/A062634

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062634.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062634.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062634.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 05:59 UTC

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 05:59 UTC

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 05:57 UTC

A062115: Numbers with no prime substring in their decimal expansion
A062115 ➡️ https://oeis.org/A062115

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062115.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062115.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062115.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 05:57 UTC

A062115: Numbers with no prime substring in their decimal expansion
A062115 ➡️ https://oeis.org/A062115

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062115.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062115.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062115.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 03:40 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #sieveOfEratosthenes

#sieveoferatosthenes #research #threejs #arithmetic #sieve #numbertheory

Rémi Eismann @[email protected] · 2026-08-12 · 03:40 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #sieveOfEratosthenes

#sieveoferatosthenes #research #threejs #arithmetic #sieve #numbertheory

Rémi Eismann @[email protected] · 2026-08-12 · 03:39 UTC

A062060: Numbers with 10 odd integers in their Collatz (or 3x+1) trajectory
A062060 ➡️ https://oeis.org/A062060

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062060.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062060.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062060.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 03:39 UTC

A062060: Numbers with 10 odd integers in their Collatz (or 3x+1) trajectory
A062060 ➡️ https://oeis.org/A062060

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062060.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062060.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062060.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 03:36 UTC

My data have not been verified but my work is highly reproducible.
- Downloads (csv, img, dump) ➡️ https://decompwlj.com/
- Algorithms ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump#Algorithms

#decompwlj #math #mathematics #maths #sequence #OEIS #PARIGP #Downloads #Algorithms #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 03:36 UTC

My data have not been verified but my work is highly reproducible.
- Downloads (csv, img, dump) ➡️ https://decompwlj.com/
- Algorithms ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump#Algorithms

#decompwlj #math #mathematics #maths #sequence #OEIS #PARIGP #Downloads #Algorithms #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 03:35 UTC

A061812: Numbers k such that floor(Pi*k) is a square
A061812 ➡️ https://oeis.org/A061812

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061812.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061812.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061812.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-12 · 03:35 UTC

A061812: Numbers k such that floor(Pi*k) is a square
A061812 ➡️ https://oeis.org/A061812

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061812.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061812.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061812.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-11 · 12:27 UTC

GPT5.6 Sol: "If decompwlj became a standard mathematical lens"

The most important conceptual impact would be a change of question. Instead of asking only, “What is the next term?” or “How fast does the sequence grow?”, researchers could also ask:
How does the next additive jump expose—or hide—the multiplicative structure behind the present term?
That is a legitimate and surprisingly rich question.

https://decompwlj.com/GPT5.6Sol_decompwlj_counterfactual_impacts_report_2026-08-11.html

For privacy: https://web.archive.org/web/20260811121838/https://decompwlj.com/GPT5.6Sol_decompwlj_counterfactual_impacts_report_2026-08-11.html

#decompwlj #math #AI #OpenAI #ChatGPT #GPT #GPT56Sol #GPTSol #sequence #numbers #graph #PrimeNumbers #NumberTheory #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

#sieve #eratosthenes #sieveoferatosthenes #conjecture #primes #twin

Rémi Eismann @[email protected] · 2026-08-11 · 12:27 UTC

GPT5.6 Sol: "If decompwlj became a standard mathematical lens"

The most important conceptual impact would be a change of question. Instead of asking only, “What is the next term?” or “How fast does the sequence grow?”, researchers could also ask:
How does the next additive jump expose—or hide—the multiplicative structure behind the present term?
That is a legitimate and surprisingly rich question.

https://decompwlj.com/GPT5.6Sol_decompwlj_counterfactual_impacts_report_2026-08-11.html

For privacy: https://web.archive.org/web/20260811121838/https://decompwlj.com/GPT5.6Sol_decompwlj_counterfactual_impacts_report_2026-08-11.html

#decompwlj #math #AI #OpenAI #ChatGPT #GPT #GPT56Sol #GPTSol #sequence #numbers #graph #PrimeNumbers #NumberTheory #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

#sieve #eratosthenes #sieveoferatosthenes #conjecture #primes #twin

Rémi Eismann @[email protected] · 2026-08-11 · 06:01 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #sieveOfEratosthenes

#sieveoferatosthenes #research #threejs #arithmetic #sieve #numbertheory

Rémi Eismann @[email protected] · 2026-08-11 · 06:01 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #sieveOfEratosthenes

#sieveoferatosthenes #research #threejs #arithmetic #sieve #numbertheory

Rémi Eismann @[email protected] · 2026-08-11 · 06:00 UTC

A061681: a(0)=1; a(n) = a(n-1) + lead(a(n-1)) for n > 0 where for an integer x lead(x) is the leading digit in base 10
A061681 ➡️ https://oeis.org/A061681

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061681.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061681.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061681.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-11 · 06:00 UTC

A061681: a(0)=1; a(n) = a(n-1) + lead(a(n-1)) for n > 0 where for an integer x lead(x) is the leading digit in base 10
A061681 ➡️ https://oeis.org/A061681

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061681.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061681.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061681.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-11 · 05:57 UTC

In the decomposition into weight × level + jump, the Twin Prime Conjecture becomes: "The number of prime numbers with a weight of 3 is infinite"

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #TwinPrimes #twin #primes #conjecture #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-11 · 05:57 UTC

In the decomposition into weight × level + jump, the Twin Prime Conjecture becomes: "The number of prime numbers with a weight of 3 is infinite"

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #TwinPrimes #twin #primes #conjecture #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-11 · 05:57 UTC

A061673: Even numbers k such that k+1 and k-1 are both composite
A061673 ➡️ https://oeis.org/A061673

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061673.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061673.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061673.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-11 · 05:57 UTC

A061673: Even numbers k such that k+1 and k-1 are both composite
A061673 ➡️ https://oeis.org/A061673

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061673.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061673.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061673.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-11 · 04:01 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #sieveOfEratosthenes

#sieveoferatosthenes #research #threejs #arithmetic #sieve #numbertheory

Rémi Eismann @[email protected] · 2026-08-11 · 04:01 UTC

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

For privacy ➡️ https://web.archive.org/web/20260806034509/https://decompwlj.com/Fable5_decompwlj_deep_analysis_7th_edition_2026_08_05.html

#decompwlj #math #AI #Anthropic #Claude #Fable #Fable5 #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #sieveOfEratosthenes

#sieveoferatosthenes #research #threejs #arithmetic #sieve #numbertheory

Rémi Eismann @[email protected] · 2026-08-11 · 03:55 UTC

A061657: Numbers k > 1 such that, in base 3, k and k^2 contain the same digits in the same proportion
A061657 ➡️ https://oeis.org/A061657

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061657.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061657.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061657.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-11 · 03:55 UTC

A061657: Numbers k > 1 such that, in base 3, k and k^2 contain the same digits in the same proportion
A061657 ➡️ https://oeis.org/A061657

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061657.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061657.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061657.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-11 · 03:50 UTC

We see the fundamental theorem of arithmetic and the sieve of Eratosthenes in the decomposition into weight × level + jump of natural numbers. Applied to prime numbers this decomposition leads to a new classification of primes.

#decompwlj #math #mathematics #maths #sequence #OEIS #graph #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #SieveofEratosthenes #sieve #Eratosthenes #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #eratosthenes #sieve

Rémi Eismann @[email protected] · 2026-08-11 · 03:50 UTC

We see the fundamental theorem of arithmetic and the sieve of Eratosthenes in the decomposition into weight × level + jump of natural numbers. Applied to prime numbers this decomposition leads to a new classification of primes.

#decompwlj #math #mathematics #maths #sequence #OEIS #graph #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #SieveofEratosthenes #sieve #Eratosthenes #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #eratosthenes #sieve

Rémi Eismann @[email protected] · 2026-08-11 · 03:49 UTC

A061656: Numbers k > 1 such that, in base 2, k and k^2 contain the same digits in the same proportion
A061656 ➡️ https://oeis.org/A061656

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061656.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061656.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061656.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-11 · 03:49 UTC

A061656: Numbers k > 1 such that, in base 2, k and k^2 contain the same digits in the same proportion
A061656 ➡️ https://oeis.org/A061656

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061656.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061656.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061656.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Pustam | पुस्तम | পুস্তম🇳🇵 @[email protected] · 2026-08-10 · 09:24 UTC

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

#mathtwitter #mathematicslovers #history #august5 #onthisday #sciencecommunication

Pustam | पुस्तम | পুস্তম🇳🇵 @[email protected] · 2026-08-10 · 09:24 UTC

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

#mathtwitter #mathematicslovers #history #august5 #onthisday #sciencecommunication

Rémi Eismann @[email protected] · 2026-08-10 · 04:58 UTC

This animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ https://decompwlj.com

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#research #arithmetic #theorem #fundamental #sieve #graphs

Rémi Eismann @[email protected] · 2026-08-10 · 04:58 UTC

This animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ https://decompwlj.com

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research