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Rémi Eismann @decompwlj

I invented the decomposition into weight × level jump, an extension to the fundamental theorem of arithmetic and a new way to see the numbers. #decompwlj

Joined December 2013
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Rémi Eismann
@decompwlj
19 Jan 2020
#decompwlj OEISWiki (en) ➡️ oeis.org/wiki/Decomposition_… Wikiversité (fr) ➡️ fr.wikiversity.org/wiki/Rech… arXiv [math.NT] ➡️ arxiv.org/abs/0711.0865 1000 seq decomposed but my data have not been verified (dump, img and csv zipped) ➡️ decompwlj.com
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RIP Fable 5. In memory, a deep analysis of the #decompwlj made two days ago with it: ➡️decompwlj.com/decompwlj_deep… ➡️web.archive.org/web/20260613… #decompwlj #math #AI #Anthropic #Claude #Fable #mathematics #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic
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Generation of 4 sequences decomposed into weight × level jump (log(weight), log(level), log(jump)) - three.js animation: 🧵⬇️ 1: The natural numbers (A000027) ➡️ decompwlj.com/3DgraphGen/Nat… #decompwlj #math #mathematics #sequence #OEIS #javascript #threejs #3D #numbers #graph
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4: The palindromes in base 10 (A002113) ➡️ decompwlj.com/3DgraphGen/Pal… #decompwlj #math #mathematics #maths #sequence #OEIS #javascript #threejs #webGL #3D #palindromes #numbers #graph #animation
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Now this animation is available for the 1000 sequences decomposed on my website. Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ decompwlj.com #decompwlj #math #mathematics #sequence #OEIS #numbers #3D #javascript #threejs #webGL #graph #animation
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A025283 ➡️ oeis.org/A025283 3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A02528… 3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A02… 2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500term… #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers
Decomposition into weight × level jump of A025283 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

ALT Decomposition into weight × level jump of A025283 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level jump of A025283 in 2D (log(weight), log(level))

ALT Decomposition into weight × level jump of A025283 in 2D (log(weight), log(level))

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A025283: Composites that use the same digits as their prime factorization
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150 sequences decomposed into weight × level jump in one GIF (log(weight),log(level)): 1000 sequences decomposed on decompwlj.com #decompwlj #math #maths #mathematics #sequence #OEIS #numbers #graph #primes #PrimeNumbers #sieve #GIF #triangular #palindromes #natural

ALT Graphs (log(weight), log(level)) of 150 sequences decomposed into weight × level jump in one GIF with A-numbers from the OEIS
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A024675: Average of two consecutive odd primes 3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/Interp… 3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/Int… 2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500term… #decompwlj #math #mathematics #sequence #OEIS #javascript #numbers
Decomposition into weight × level jump of interprimes in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

ALT Decomposition into weight × level jump of interprimes in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level jump of interprimes in 2D (log(weight), log(level))

ALT Decomposition into weight × level jump of interprimes in 2D (log(weight), log(level))
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A024619: Numbers that are not powers of primes p^k (k >= 0) 3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A02461… 3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A02… 2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500term… #decompwlj #math #sequence #OEIS #javascript #numbers
Decomposition into weight × level jump of A024619 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

ALT Decomposition into weight × level jump of A024619 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level jump of A024619 in 2D (log(weight), log(level))

ALT Decomposition into weight × level jump of A024619 in 2D (log(weight), log(level))
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Decomposition into weight × level jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump)) ➡️ decompwlj.com/3Dgraph/Prime_… #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #PrimeNumbers #graph #threejs #webGL
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A024365: Areas of right triangles with coprime integer sides 3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A02436… 3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A02… 2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500term… #decompwlj #math #sequence #javascript #numbers
Decomposition into weight × level jump of A024365 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

ALT Decomposition into weight × level jump of A024365 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level jump of A024365 in 2D (log(weight), log(level))

ALT Decomposition into weight × level jump of A024365 in 2D (log(weight), log(level))
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A023271 ➡️ oeis.org/A023271 3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A02327… 3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A02… 2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500term… #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers
Decomposition into weight × level jump of A023271 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

ALT Decomposition into weight × level jump of A023271 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level jump of A023271 in 2D (log(weight), log(level))

ALT Decomposition into weight × level jump of A023271 in 2D (log(weight), log(level))
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My data have not been verified but my work is highly reproducible. - Downloads (csv, img, dump) ➡️ decompwlj.com - Algorithms ➡️ oeis.org/wiki/Decomposition_… #decompwlj #math #mathematics #sequence #OEIS #PARIGP #numbers #PrimeNumbers #graph #downloads #algorithms
Algorithm of the decomposition into weight × level jump in PARI/GP from the OEIS Wiki

ALT Algorithm of the decomposition into weight × level jump in PARI/GP from the OEIS Wiki
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A023200: Primes p such that p 4 is also prime 3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A02320… 3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A02… 2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500term… #decompwlj #math #sequence #OEIS #javascript #php #3D #numbers
Decomposition into weight × level jump of A023200 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

ALT Decomposition into weight × level jump of A023200 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level jump of A023200 in 2D (log(weight), log(level))

ALT Decomposition into weight × level jump of A023200 in 2D (log(weight), log(level))
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A023197: Numbers k such that sigma(k) >= 3*k 3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A02319… 3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A02… 2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500term… #decompwlj #math #mathematics #sequence #OEIS #javascript #numbers
Decomposition into weight × level jump of A023197 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

ALT Decomposition into weight × level jump of A023197 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level jump of A023197 in 2D (log(weight), log(level))

ALT Decomposition into weight × level jump of A023197 in 2D (log(weight), log(level))
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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 #sequence #OEIS #javascript #threejs #webGL #3D #numbers #twin #primes #PrimeNumbers #graph #conjecture
Decomposition into weight × level jump of prime numbers in 3D (log(weight), log(level), log(jump)) - threejs - webGL with a highlight on lesser of twin primes

ALT Decomposition into weight × level jump of prime numbers in 3D (log(weight), log(level), log(jump)) - threejs - webGL with a highlight on lesser of twin primes
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A023173: Numbers k such that Fibonacci(k) == 1 (mod k) 3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A02317… 3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A02… 2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500term… #decompwlj #math #sequence #OEIS #javascript #3D #numbers
Decomposition into weight × level jump of A023173 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

ALT Decomposition into weight × level jump of A023173 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level jump of A023173 in 2D (log(weight), log(level))

ALT Decomposition into weight × level jump of A023173 in 2D (log(weight), log(level))
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A022839: Beatty sequence for sqrt(5) 3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A02283… 3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A02… 2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500term… #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers
Decomposition into weight × level jump of A022839 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

ALT Decomposition into weight × level jump of A022839 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level jump of A022839 in 2D (log(weight), log(level))

ALT Decomposition into weight × level jump of A022839 in 2D (log(weight), log(level))
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