#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

Decomposition into weight × level + jump of A013917 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A013917 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

1 day ago

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

Decomposition into weight × level + jump of A013916 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A013916 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

2 days ago

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

Decomposition into weight × level + jump of A011775 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A011775 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 days ago

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

Decomposition into weight × level + jump of A011540 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A011540 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

4 days ago

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 A011539 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A011539 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

5 days ago

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

Decomposition into weight × level + jump of prime numbers in 2D commented with OEIS sequences - classification of prime numbers (log(weight), log(level))

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

Rémi Eismann

5 days ago

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

Decomposition into weight × level + jump of A011533 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A011533 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

6 days ago

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

Decomposition into weight × level + jump of A011532 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A011532 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

1 week ago

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

Decomposition into weight × level + jump of A011531 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A011531 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

1 week ago

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

Decomposition into weight × level + jump of A011257 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A011257 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

1 week ago

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

Decomposition into weight × level + jump of A010784 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A010784 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

1 week ago

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

50 sequences decomposed into weight × level + jump in one GIF with A-numbers (log(weight), log(level))

Rémi Eismann

1 week ago

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

Decomposition into weight × level + jump of base 4 self or Colombian numbers in 2D (log(weight), log(level))

Decomposition into weight × level + jump of base 4 self or Colombian numbers in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

2 weeks ago

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

Screen shot of A117078 on the OEIS: a(n) is the smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists.

Graphs on the OEIS of A117078 (the weights of prime numbers) pin plot and logarithmic scatterplot

Rémi Eismann

2 weeks ago

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 Binary self or Colombian numbers in 2D (log(weight), log(level))

Decomposition into weight × level + jump of Binary self or Colombian numbers in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

2 weeks ago

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

Rémi Eismann

2 weeks ago

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 A009177 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A009177 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

2 weeks ago

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

(Screen record - 5 seconds) Decomposition into weight × level + jump of prime numbers in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

2 weeks ago

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

Decomposition into weight × level + jump of A009112 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A009112 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

2 weeks ago

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

150 sequences decomposed into weight × level + jump in one GIF with A-numbers (log(weight), log(level))

Rémi Eismann

2 weeks ago

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

Decomposition into weight × level + jump of A008917 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A008917 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

2 weeks ago

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

Decomposition into weight × level + jump of A008864 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A008864 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

2 weeks ago

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

Decomposition into weight × level + jump of A008851 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A008851 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

2 weeks ago

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

Decomposition into weight × level + jump of A008846 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A008846 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 weeks ago

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

Decomposition into weight × level + jump of A008810 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A008810 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 weeks ago

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

Rémi Eismann

3 weeks ago

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 A008366 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A008366 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 weeks ago

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

Rémi Eismann

3 weeks ago

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

Decomposition into weight × level + jump of A008365 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A008365 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 weeks ago

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

Decomposition into weight × level + jump of 11-rough numbers in 2D (log(weight), log(level))

Decomposition into weight × level + jump of 11-rough numbers in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 weeks ago

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

Decomposition into weight × level + jump of A007957 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A007957 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 weeks ago

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

Decomposition into weight × level + jump of A007932 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A007932 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 weeks ago

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

Decomposition into weight × level + jump of A007921 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A007921 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

4 weeks ago

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 A007811 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A007811 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

4 weeks ago

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

Rémi Eismann

4 weeks ago

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

Decomposition into weight × level + jump of happy numbers in 2D (log(weight), log(level))

Decomposition into weight × level + jump of happy numbers in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

4 weeks ago

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

Rémi Eismann

1 month ago

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

Decomposition into weight × level + jump of regular primes in 2D (log(weight), log(level))

Decomposition into weight × level + jump of regular primes in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

1 month ago

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

Rémi Eismann

1 month ago

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 A007700 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A007700 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

1 month ago

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

Rémi Eismann

1 month ago

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

Decomposition into weight × level + jump of A007066 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A007066 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

1 month ago

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

Rémi Eismann

2 months ago

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

Rémi Eismann

2 months ago

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

Decomposition into weight × level + jump of A006532 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A006532 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 months ago

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

Decomposition into weight × level + jump of A004780 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A004780 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 months ago

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

Decomposition into weight × level + jump of A004744 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A004744 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 months ago

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 A004214 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A004214 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

3 months ago

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

Rémi Eismann

3 months ago

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

Screen shot of A1170078 on the OEIS: a(n) is the smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists.

Rémi Eismann

3 months ago

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

Decomposition into weight × level + jump of A003628 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A003628 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

4 months ago

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

Rémi Eismann

4 months ago

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

Decomposition into weight × level + jump of composite numbers in 2D (log(weight), log(level))

Decomposition into weight × level + jump of composite numbers in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Rémi Eismann

4 months ago

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

Rémi Eismann

4 months ago

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

Rémi Eismann

4 months ago

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

Rémi Eismann

4 months ago

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

Decomposition into weight × level + jump of Segmented numbers in 2D

Decomposition into weight × level + jump of Segmented numbers in 3D (#threejs #webGL)

Rémi Eismann

5 months ago

#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