Mastodawn

A243937: Even numbers n>=6 for which lpf(n-1) > lpf(n-3), where lpf = least prime factor
A243937 ➡️ https://oeis.org/A243937

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A243937.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A243937.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A243937.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

Rémi Eismann 3h ago

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 #php #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

Rémi Eismann 3h ago

A242414: Numbers whose prime factorization viewed as a tuple of nonzero powers is palindromic
A242414 ➡️ https://oeis.org/A242414

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A242414.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A242414.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A242414.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

Tariq 17h ago

My attempt at showing the product of residues in a reduced residue system is ±1

Feedback welcome!

https://numbertheorystepbystep.blogspot.com/2026/03/exercise-5218.html

#maths #numbertheory

Exercise (5.2).18

(i) Let $\{r_1, r_2, r_3, \ldots , r_{\phi(n)}\}$ be a set of reduced residue system modulo $n$. Prove that $$ r_1 × r_2 × r_3 × ⋯ × r_{\ph...

Rémi Eismann 1d ago

A234695: Primes p with prime(p) - p + 1 also prime
A234695 ➡️ https://oeis.org/A234695

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A234695.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A234695.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A234695.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

Rémi Eismann 1d ago

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 #Eratosthenes #sieve #fundamental #theorem #arithmetic #research #sieveOfEratosthenes

Rémi Eismann 1d ago

A233010: In balanced ternary notation, either a palindrome or becomes a palindrome if trailing 0's are omitted
A233010 ➡️ https://oeis.org/A233010

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A233010.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A233010.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A233010.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

Show thread

Rémi Eismann 1d ago

Now 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 #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 - 3D graphs - 2D graphs - First 500 terms - Rémi Eismann

Decomposition into weight × level + jump with 3D graphs (WebGL three.js), 2D graphs and first 500 terms. This decomposition is an extension of the fundamental theorem of arithmetic and a new way to see the numbers. 1000 sequences decomposed (natural numbers, prime numbers, triangular numbers, composites...). Rémi Eismann

Show thread

Rémi Eismann 1d ago

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