A036433: Number of divisors is a digit in the base 10 representation of n
A036433 ➡️ https://oeis.org/A036433

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A036433.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A036433.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A036433.html

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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.

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A036301: Numbers whose sum of even digits and sum of odd digits are equal
A036301 ➡️ https://oeis.org/A036301

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A036301.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A036301.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A036301.html

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A035928: Numbers n such that BCR(n) = n, where BCR = binary-complement-and-reverse = take one's complement then reverse bit order
A035928 ➡️ https://oeis.org/A035928

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A035928.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A035928.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A035928.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

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A035497: Happy primes: primes that eventually reach 1 under iteration of "x -> sum of squares of digits of x".
A035497 ➡️ https://oeis.org/A035497

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

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A035336: a(n) = 2*floor(n*phi) + n - 1, where phi = (1+sqrt(5))/2
A035336 ➡️ https://oeis.org/A035336

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A035336.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A035336.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A035336.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

A035333: Concatenation of two or more consecutive positive integers
A035333 ➡️ https://oeis.org/A035333

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A035333.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A035333.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A035333.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

A035137: Numbers that are not the sum of 2 palindromes (where 0 is considered a palindrome)
A035137 ➡️ https://oeis.org/A035137

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A035137.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A035137.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A035137.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