Lmst

Now this animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ https://decompwlj.com
A little more work on axis sizing and controls.

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

4: The palindromes in base 10 (A002113) ➡️ https://decompwlj.com/3DgraphGen/Palindromes.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

3: The triangular numbers (A000217) ➡️ https://decompwlj.com/3DgraphGen/Triangular_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

2: The prime numbers (A000040) ➡️ https://decompwlj.com/3DgraphGen/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
🧵⬇️

1: The natural numbers (A000027) ➡️ https://decompwlj.com/3DgraphGen/Natural_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

Let's wait for 15th September, but this 2026 Jean-Pierre Serre is going to be 100 years old.

He is currently recognised by his contributions to Number Theory, but don't forget his youth contributions to topology and also Algebraic Geometry with papers such as GAGA.

#JeanPierreSerre #math #NumberTheory #Mathematics #GAGA

A106564: Perfect squares which are not the difference of two primes
A106564 ➡️ https://oeis.org/A106564

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A106564.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A106564.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A106564.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

Decomposition into weight × level + jump of A106564 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A106564 in 2D (log(weight), log(level))

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 #natural #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #Eratosthenes #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of natural numbers: the fundamental theorem of arithmetic and the sieve of Eratosthenes

Graph in 2D (log(weight), log(level)) of the decomposition into weight × level + jump of natural numbers

Decomposition into weight × level + jump of prime numbers: in 2D with sequences on the OEIS: a new classification of primes

Graph in 2D (log(weight), log(level)) of the decomposition into weight × level + jump of prime numbers

A106518: Belgian-2 numbers
A106518 ➡️ https://oeis.org/A106518

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

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

Decomposition into weight × level + jump of Belgian-2 numbers in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of Belgian-2 numbers in 2D (log(weight), log(level))

RE: https://mastodon.social/@lobsters/116002869083328549

#maths #mathematics #number #NumberTheory #computation #BusyBeaver #LambdaCalculus #LargeNumbers
https://tromp.github.io/blog/2026/01/28/largest-number-revised

A106349: Primes indexed by semiprimes
A106349 ➡️ https://oeis.org/A106349

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A106349.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A106349.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A106349.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

Decomposition into weight × level + jump of A106349 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A106349 in 2D (log(weight), log(level))

My first, favorite and most important sequence, the weights of prime numbers: A117078
We see prime numbers classified by level and by weight on the graph.

A117078: a(n) is the smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists ➡️ https://oeis.org/A117078

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

Decomposition into weight × level + jump of A089194 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A089194 in 2D (log(weight), log(level))

A106039: Belgian-0 numbers
A106039 ➡️ https://oeis.org/A106039

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Belgian-0_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Belgian-0_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Belgian-0_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

Decomposition into weight × level + jump of belgian-0 numbers in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of belgian-0 numbers in 2D (log(weight), log(level))

A105571: Numbers m such that m - 2 and m + 2 are semiprimes
A105571 ➡️ https://oeis.org/A105571

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A105571.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A105571.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A105571.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

Decomposition into weight × level + jump of A105571 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A105571 in 2D (log(weight), log(level))

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 #php #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

Decomposition into weight × level + jump of prime numbers in 3D (log(weight), log(level), log(jump)) - threejs - webGL

A105441: Numbers with at least two odd prime factors (not necessarily distinct)
A105441 ➡️ https://oeis.org/A105441

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A105441.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A105441.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A105441.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

Decomposition into weight × level + jump of A105441 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A105441 in 2D (log(weight), log(level))

A105184: Primes that can be written as concatenation of two primes in decimal representation
A105184 ➡️ https://oeis.org/A105184

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A105184.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A105184.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A105184.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

Decomposition into weight × level + jump of A105184 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A105184 in 2D (log(weight), log(level))

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

A104272: Ramanujan primes R_n: a(n) is the smallest number such that if x >= a(n), then pi(x) - pi(x/2) >= n, where pi(x) is the number of primes <= x
A104272 ➡️ https://oeis.org/A104272

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

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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