#fundamental — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #fundamental, aggregated by home.social.
-
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 #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
-
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 #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 #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 #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 #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 #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 #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 #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 #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 #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
-
A052405: Numbers without 3 as a digit
A052405 ➡️ https://oeis.org/A0524053D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052405.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052405.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052405.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052405: Numbers without 3 as a digit
A052405 ➡️ https://oeis.org/A0524053D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052405.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052405.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052405.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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 #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #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 #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
-
A052383: Numbers without 1 as a digit
A052383 ➡️ https://oeis.org/A0523833D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052383.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052383.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052383.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052383: Numbers without 1 as a digit
A052383 ➡️ https://oeis.org/A0523833D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052383.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052383.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052383.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052382: Numbers without 0 in the decimal expansion, colloquial 'zeroless numbers'
A052382 ➡️ https://oeis.org/A0523823D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Zeroless_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Zeroless_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Zeroless_numbers.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052382: Numbers without 0 in the decimal expansion, colloquial 'zeroless numbers'
A052382 ➡️ https://oeis.org/A0523823D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Zeroless_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Zeroless_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Zeroless_numbers.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
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 #GIF #graph #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
-
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 #GIF #graph #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
-
A052223: Numbers whose sum of digits is 9
A052223 ➡️ https://oeis.org/A0522233D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052223.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052223.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052223.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052223: Numbers whose sum of digits is 9
A052223 ➡️ https://oeis.org/A0522233D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052223.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052223.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052223.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052214: Numbers n with prime signature(n) = prime signature(n+1) = prime signature(n+2)
A052214 ➡️ https://oeis.org/A0522143D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052214.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052214.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052214.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052214: Numbers n with prime signature(n) = prime signature(n+1) = prime signature(n+2)
A052214 ➡️ https://oeis.org/A0522143D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052214.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052214.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052214.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #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, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
-
A052040: Numbers whose square is zeroless
A052040 ➡️ https://oeis.org/A0520403D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052040.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052040.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052040.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052040: Numbers whose square is zeroless
A052040 ➡️ https://oeis.org/A0520403D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052040.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052040.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052040.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052034: Primes such that the sum of the squares of their digits is also a prime
A052034 ➡️ https://oeis.org/A0520343D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052034.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052034.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052034.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052034: Primes such that the sum of the squares of their digits is also a prime
A052034 ➡️ https://oeis.org/A0520343D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052034.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052034.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052034.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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 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#decompwlj #math #mathematics #maths #sequence #OEIS #PARIGP #Downloads #Algorithms #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
-
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#decompwlj #math #mathematics #maths #sequence #OEIS #PARIGP #Downloads #Algorithms #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
-
A052032: Primes base 10 that remain prime in one (and only one) other base b, 2<=b<10, expansions interpreted as decimal numbers
A052032 ➡️ https://oeis.org/A0520323D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052032.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052032.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052032.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052032: Primes base 10 that remain prime in one (and only one) other base b, 2<=b<10, expansions interpreted as decimal numbers
A052032 ➡️ https://oeis.org/A0520323D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052032.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052032.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052032.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052026: Composites base 10 that remain composite in all bases b, 2<=b<=10, expansions interpreted as decimal numbers
A052026 ➡️ https://oeis.org/A0520263D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052026.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052026.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052026.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052026: Composites base 10 that remain composite in all bases b, 2<=b<=10, expansions interpreted as decimal numbers
A052026 ➡️ https://oeis.org/A0520263D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052026.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052026.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052026.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
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 #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
-
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 #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
-
A052020: Sum of digits of k is a prime proper factor of k
A052020 ➡️ https://oeis.org/A0520203D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052020.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052020.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052020.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052020: Sum of digits of k is a prime proper factor of k
A052020 ➡️ https://oeis.org/A0520203D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052020.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052020.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052020.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052018: Numbers k with the property that the sum of the digits of k is a substring of k
A052018 ➡️ https://oeis.org/A0520183D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052018.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052018.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052018.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A052018: Numbers k with the property that the sum of the digits of k is a substring of k
A052018 ➡️ https://oeis.org/A0520183D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A052018.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A052018.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A052018.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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 #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieveOfEratosthenes #Eratosthenes #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 #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieveOfEratosthenes #Eratosthenes #sieve #fundamental #theorem #arithmetic #research
-
A051936: Truncated triangular numbers: a(n) = n*(n+1)/2 - 9
A051936 ➡️ https://oeis.org/A0519363D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Truncated_triangular_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Truncated_triangular_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Truncated_triangular_numbers.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A051936: Truncated triangular numbers: a(n) = n*(n+1)/2 - 9
A051936 ➡️ https://oeis.org/A0519363D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Truncated_triangular_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Truncated_triangular_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Truncated_triangular_numbers.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A051795: Doubly balanced primes: primes which are averages of both their immediate and their second neighbors
A051795 ➡️ https://oeis.org/A0517953D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Doubly_balanced_primes.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Doubly_balanced_primes.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Doubly_balanced_primes.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A051795: Doubly balanced primes: primes which are averages of both their immediate and their second neighbors
A051795 ➡️ https://oeis.org/A0517953D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Doubly_balanced_primes.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Doubly_balanced_primes.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Doubly_balanced_primes.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
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
-
A051750: Primes whose cubes lack zeros
A051750 ➡️ https://oeis.org/A0517503D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A051750.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A051750.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A051750.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A051750: Primes whose cubes lack zeros
A051750 ➡️ https://oeis.org/A0517503D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A051750.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A051750.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A051750.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A051677: Tetrahedron-tree numbers: a(n)=sum(b(m),m=1..n), b(m)=1, 1,3, 1,3,6, 1,3,6,10,..., 1,2,...,i*(i+1)2
A051677 ➡️ https://oeis.org/A0516773D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Tetrahedron-tree_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Tetrahedron-tree_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Tetrahedron-tree_numbers.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A051677: Tetrahedron-tree numbers: a(n)=sum(b(m),m=1..n), b(m)=1, 1,3, 1,3,6, 1,3,6,10,..., 1,2,...,i*(i+1)2
A051677 ➡️ https://oeis.org/A0516773D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Tetrahedron-tree_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Tetrahedron-tree_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Tetrahedron-tree_numbers.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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 #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 #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
-
A051635: Weak primes: prime(n) < (prime(n-1) + prime(n+1))/2
A051635 ➡️ https://oeis.org/A0516353D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Weak_primes.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Weak_primes.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Weak_primes.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A051635: Weak primes: prime(n) < (prime(n-1) + prime(n+1))/2
A051635 ➡️ https://oeis.org/A0516353D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Weak_primes.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Weak_primes.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Weak_primes.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A051634: Strong primes: prime(k) > (prime(k-1) + prime(k+1))/2
A051634 ➡️ https://oeis.org/A0516343D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Strong_primes.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Strong_primes.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Strong_primes.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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
-
A051634: Strong primes: prime(k) > (prime(k-1) + prime(k+1))/2
A051634 ➡️ https://oeis.org/A0516343D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Strong_primes.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Strong_primes.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Strong_primes.html#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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