# #decompwlj

One day, one decomposition

A013917: a(n) is prime and sum of all primes <= a(n) is prime

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A013917.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A013917.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #sum #primes #primenumbers #graph

One day, one decomposition

A013916: Numbers k such that the sum of the first k primes is prime

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A013916.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A013916.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #sum #first #primes #primenumbers #graph

One day, one decomposition

A011775: Numbers k such that k divides phi(k) * sigma(k)

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A011775.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A011775.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #divides #phi #sigma #graph

One day, one decomposition

A011540: Numbers that contain a 0

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A011540.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A011540.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #contain #digit #graph

One day, one decomposition

A011539: "9ish numbers": decimal representation contains at least one nine

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A011539.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A011539.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #contain #digit #graph

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 #sequences #NumberTheory #PrimeNumbers #JavaScript #php #graph #3D #classification #primes

One day, one decomposition

A011533: Numbers that contain a 3

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A011533.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A011533.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #contain #digit #graph

One day, one decomposition

A011532: Numbers that contain a 2

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A011532.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A011532.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #contain #digit #graph

One day, one decomposition

A011531: Numbers that contain a 1

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A011531.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A011531.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #contain #digit #graph

One day, one decomposition

A011257: Geometric mean of phi(n) and sigma(n) is an integer

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A011257.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A011257.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #phi #sigma #graph

One day, one decomposition

A010784: Numbers with distinct decimal digits

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A010784.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A010784.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #distinct #decimal #digits #graph

50 sequences decomposed into weight × level + jump in one GIF

1000 sequences decomposed with 3D graphs (threejs webGL), 2D graphs - CSV, dump, img to download

⬇️⬇️

https://decompwlj.com

#decompwlj ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

#Math #Mathematics #OEIS #sequences #primes #PrimeNumbers #classification #arithmetic #NumberTheory #JavaScript #GIF #graphs

One day, one decomposition

A010064: Base 4 self or Colombian numbers (not of form n + sum of base 4 digits of n)

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A010064.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A010064.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #numbers #3D #sum #base #digits #graph

My first, favorite and most important sequence, the weights of prime numbers

⬇️

http://oeis.org/A117078

We see prime numbers classified by level and by weight on the graph.

This sequence has led to the decomposition into weight × level + jump ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

#decompwlj #math #sequences #OEIS #PrimeNumbers #classification #mathematics #primes #numbers #graph #decomposition #Numbertheory

One day, one decomposition

A010061: Binary self or Colombian numbers: numbers that cannot be expressed as the sum of distinct terms of the form 2^k+1 (k>=0), or equivalently, numbers not of form m + sum of binary digits of m

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/Binary_self_numbers.html

2D #graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Binary_self_numbers.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #sum #binary #digits #graph

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 #sequences #NumberTheory #PrimeNumbers #JavaScript #php #graph #3D #classification #primes

One day, one decomposition

A009177: #Numbers that are the hypotenuses of more than one Pythagorean triangle

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A009177.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A009177.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #hypotenuses #Pythagorean #triangle #graph

Decomposition into weight × level + jump of prime numbers in 3D (log(weight), log(level), log(jump)) #threejs #webgl

➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #sequences #NumberTheory #PrimeNumbers #JavaScript #php #graph #3D #primes #video #ScreenRecord #classification #integer #decomposition

One day, one decomposition

A009112: Areas of Pythagorean triangles: numbers which can be the area of a right-angled triangle with integer sides

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A009112.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A009112.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #area #Pythagorean #triangles #graph

150 sequences decomposed into weight × level + jump in one GIF

1000 sequences decomposed with 3D graphs (threejs webGL), 2D graphs - CSV, dump, img to download

⬇️⬇️

https://decompwlj.com

#decompwlj ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

#Math #Mathematics #OEIS #sequences #primes #PrimeNumbers #classification #arithmetic #NumberTheory #JavaScript #GIF #graphs

One day, one decomposition

A008917: Numbers that are the sum of 3 positive cubes in more than one way

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A008917.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008917.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #sum #cubes #graph

One day, one decomposition

A008864: a(n) = prime(n) + 1

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A008864.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008864.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #primenumbers #graph

One day, one decomposition

A008851: Congruent to 0 or 1 mod 5

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A008851.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008851.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #congruent #modulo #graph

One day, one decomposition

A008846: Hypotenuses of primitive Pythagorean triangles

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A008846.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008846.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #triangles #graph

One day, one decomposition

A008810: a(n) = ceiling(n^2/3)

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A008810.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008810.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #ceiling #graph

My first, favorite and most important sequence, the weights of prime numbers

⬇️

http://oeis.org/A117078

We see prime numbers classified by level and by weight on the graph.

This sequence has led to the decomposition into weight × level + jump ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

#decompwlj #math #sequences #OEIS #PrimeNumbers #classification #mathematics #primes #numbers #graph #decomposition #Numbertheory

One day, one decomposition

A008366: Smallest prime factor is >= 17

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A008366.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008366.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #rough #numbers #divisible #graph

Decomposition into weight × level + jump of prime numbers:

in 3D, #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

a new classification of primes ➡️ https://decompwlj.com/primedecomp.php

#decompwlj #math #mathematics #sequences #NumberTheory #PrimeNumbers #JavaScript #php #graph #3D #classification #primes

One day, one decomposition

A008365: Smallest prime factor is >= 13

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A008365.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008365.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #rough #numbers #divisible #prime #factor #graph

One day, one decomposition

A008364: 11-rough numbers: not divisible by 2, 3, 5 or 7

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/11-rough_numbers.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/11-rough_numbers.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #rough #numbers #divisible #graph

One day, one decomposition

A007957: Numbers that contain an odd digit

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A007957.html

2D #graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007957.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #contain #odd #digit #graph

One day, one decomposition

A007932: Numbers that contain only 1's, 2's and 3's

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A007932.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007932.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #contain #only #digits #graph

One day, one decomposition

A007921: Numbers that are not the difference of two primes

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A007921.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007921.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #difference #primes #primenumbers #graph

One day, one decomposition

A007811: Numbers n for which 10n+1, 10n+3, 10n+7 and 10n+9 are primes

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A007811.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007811.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #primenumbers #form #graph

Decomposition into weight × level + jump of prime numbers in 3D (log(weight), log(level), log(jump)) #threejs #webgl

➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #sequences #NumberTheory #PrimeNumbers #JavaScript #php #graph #3D #primes #video #ScreenRecord #classification #integer #decomposition

One day, one decomposition

A007770: Happy numbers: numbers whose trajectory under iteration of sum of squares of digits map (see A003132) includes 1

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/Happy_numbers.html

2D #graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Happy_numbers.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #trajectory #iteration #sum #squares #digits #map #graph

50 sequences decomposed into weight × level + jump in one GIF

1000 sequences decomposed with 3D graphs (threejs webGL), 2D graphs - CSV, dump, img to download

⬇️⬇️

https://decompwlj.com

#decompwlj ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

#Math #Mathematics #OEIS #sequences #primes #PrimeNumbers #classification #arithmetic #NumberTheory #JavaScript #GIF #graphs

One day, one decomposition

A007703: Regular primes

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/Regular_primes.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Regular_primes.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #Bernoulli #numbers #divisible #primes #primenumbers #graph

My first, favorite and most important sequence, the weights of prime numbers

⬇️

http://oeis.org/A117078

We see prime numbers classified by level and by weight on the graph.

This sequence has led to the decomposition into weight × level + jump ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

#decompwlj #math #sequences #OEIS #PrimeNumbers #classification #mathematics #primes #numbers #graph #decomposition

One day, one decomposition

A007700: Numbers n such that n, 2n+1, and 4n+3 all prime

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A007700.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007700.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #primenumbers #graph

Decomposition into weight × level + jump of prime numbers:

in 3D, #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

a new classification of primes ➡️ https://decompwlj.com/primedecomp.php

One day, one decomposition

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

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A007066.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A007066.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #ceiling #phi #sqrt #graph

50 sequences decomposed into weight × level + jump in one GIF

⬇️⬇️

https://decompwlj.com

#decompwlj ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

⬇️

http://oeis.org/A117078

We see prime numbers classified by level and by weight on the graph.

#decompwlj #math #sequences #OEIS #PrimeNumbers #classification #mathematics #primes #numbers #graph #decomposition

One day, one decomposition

A006532: Numbers whose sum of divisors is a square

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A006532.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A006532.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #sum #divisors #square #graph

One day, one decomposition

A004780: Binary expansion contains 2 adjacent 1's

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A004780.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A004780.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #number #binary #expansion #contain #adjacent #graph

One day, one decomposition

A004744: Numbers n such that binary expansion does not contain 011

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A004744.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A004744.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #binary #expansion #contain #graph

One day, one decomposition

A004214: Positive numbers that are not the sum of three nonzero squares

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A004214.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A004214.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #sum #three #squares #graph

Decomposition into weight × level + jump of prime numbers:

in 3D, #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

a new classification of primes ➡️ https://decompwlj.com/primedecomp.php

⬇️

http://oeis.org/A117078

We see prime numbers classified by level and by weight on the graph.

#decompwlj #math #sequences #OEIS #PrimeNumbers #classification #mathematics #primes #numbers #graph #decomposition

One day, one decomposition

A003628: Primes congruent to {5, 7} mod 8

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/A003628.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A003628.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #PrimeNumbers #congruent #graph

⬇️

http://oeis.org/A117078

We see prime numbers classified by level and by weight on the graph.

One day, one decomposition

A002808: The composite numbers

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/Composite_numbers.html

2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Composite_numbers.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #number #integer #composite #graph

50 sequences decomposed into weight × level + jump in one GIF

1000 sequences decomposed with 3D graph (#threejs #webGL), 2D graphs - CSV, dump, img to download

⬇️⬇️

https://decompwlj.com

#decompwlj #Math #Mathematics #OEIS #sequences #primes #PrimeNumbers #classification #arithmetic #NumberTheory #JavaScript #GIF #graphs

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

⬇️

http://oeis.org/A117078

We see prime numbers classified by level and by weight on the graph.

One day, one decomposition

A002048: Segmented #numbers, or prime numbers of measurement

3D graph #threejs #webGL ➡️ https://decompwlj.com/3Dgraph/Segmented_numbers.html

2D #graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Segmented_numbers.html

#decompwlj #Math #Mathematics #Sequence #OEIS #JavaScript #PHP #3D #Integer #Segmented #PrimeNumbers #measurement

#decompwlj

OEISWiki (en) ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

Wikiversité (fr) ➡️ https://fr.wikiversity.org/wiki/Recherche:D%C3%A9composition_en_poids_%C3%97_niveau_%2B_saut

arXiv [math.NT] ➡️ https://arxiv.org/abs/0711.0865

1000 sequences decomposed but my data have not been verified (dump, img and csv zipped) ➡️ https://decompwlj.com

#decompwlj #math #mathematics #sequence #javascript #php #3D #numbers #primenumbers #theory #graph #3D #primes #classification #integer #decomposition #threejs #webgl