Some #MersennePrime news: on December 26, 2017, Jon Pace of the Great Internet Mersenne Prime Search found that 2^77232917-1 was prime. It was the 50th *discovered* Mersenne prime, but on September 8th all double-check tests on Mersenne numbers below it have finished, officially confirming it to be the 50th Mersenne prime overall!

A007310: Numbers congruent to 1 or 5 mod 6

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A007310.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A007310.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A007310.html

A007304: Sphenic numbers: products of 3 distinct primes

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A007304.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A007304.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A007304.html

A007066: a(n) = 1 + ceiling((n-1)*phi^2), phi = (1+sqrt(5))/2

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A007066.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A007066.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A007066.html

A006995: Binary palindromes: numbers whose binary expansion is palindromic

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A006995.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A006995.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A006995.html

A006881: Squarefree semiprimes: Numbers that are the product of two distinct primes

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A006881.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A006881.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A006881.html

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
https://decompwlj.com/3Dgraph/Prime_numbers.html

A006753: Smith (or joke) numbers: composite numbers k such that sum of digits of k = sum of digits of prime factors of k (counted with multiplicity)

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

A006567: Emirps (primes whose reversal is a different prime)

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

A006562: Balanced primes (of order one): primes which are the average of the previous prime and the following prime

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

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

A006532: Numbers whose sum of divisors is a square

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A006532.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A006532.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A006532.html

My data have not been verified but my work is highly reproducible.
- Downloads (csv, img, dump) https://decompwlj.com/
- Algorithms https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump#Algorithms

A006512: Greater of twin primes

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

A006463: Convolve natural numbers with characteristic function of triangular numbers

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A006463.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A006463.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A006463.html

A006450: Prime-indexed primes: primes with prime subscripts

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A006450.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A006450.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A006450.html

A006446: Numbers k such that floor(sqrt(k)) divides k

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A006446.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A006446.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A006446.html

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
https://decompwlj.com/3Dgraph/Prime_numbers.html

A006378: Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum

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

A006364: Numbers k with an even number of 1's in binary, ignoring last bit.

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A006364.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A006364.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A006364.html