A005843: The even numbers: a(n) = 2n
A005843 ➡️ https://oeis.org/A005843

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

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

A005839: Lexicographically earliest increasing nonnegative sequence that contains no 4-term arithmetic progression
A005839 ➡️ https://oeis.org/A005839

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A005839.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A005839.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A005839.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

A005837: Lexicographically earliest increasing sequence of positive numbers that contains no 4-term arithmetic progression
A005837 ➡️ https://oeis.org/A005837

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A005837.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A005837.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A005837.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

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

A005658: If n appears so do 2n, 3n+2, 6n+3
A005658 ➡️ https://oeis.org/A005658

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A005658.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A005658.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A005658.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

A005574: Numbers k such that k^2 + 1 is prime
A005574 ➡️ https://oeis.org/A005574

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A005574.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A005574.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A005574.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:
- 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