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A052026: Composites base 10 that remain composite in all bases b, 2<=b<=10, expansions interpreted as decimal numbers

3D 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

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Decomposition into weight × level + jump of A052026 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A052026 in 2D (log(weight), log(level))

150 sequences decomposed into weight × level + jump in one GIF (log(weight),log(level)):
1000 sequences decomposed on https://decompwlj.com

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A052020: Sum of digits of k is a prime proper factor of k

3D 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

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Decomposition into weight × level + jump of A052020 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A052020 in 2D (log(weight), log(level))

FinFur Animus 2025 Charity #Numbers https://news.furryrefuge.com/finfur-animus-2025-charity-numbers

A052018: Numbers k with the property that the sum of the digits of k is a substring of k

3D 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

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Decomposition into weight × level + jump of A052018 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A052018 in 2D (log(weight), log(level))

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 #natural #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of natural numbers: the fundamental theorem of arithmetic and the sieve of Eratosthenes

Graph in 2D (log(weight), log(level)) of the decomposition into weight × level + jump of natural numbers

Decomposition into weight × level + jump of prime numbers: in 2D with sequences on the OEIS: a new classification of primes

Graph in 2D (log(weight), log(level)) of the decomposition into weight × level + jump of prime numbers

A051936: Truncated triangular numbers: a(n) = n*(n+1)/2 - 9

3D 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

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

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

In Power Rangers in Space, 335 is the activation code for morphing into a space ranger.
10 fun facts about the number 335.

https://topicaltens.blogspot.com/2025/11/1-december-335.html

#Numbers #FunFacts #335

A051795: Doubly balanced primes: primes which are averages of both their immediate and their second neighbors

3D 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 #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

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

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

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 #Downloads #Algorithms #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research #PARIGP

Algorithm of the decomposition into weight × level + jump in PARI/GP from the OEIS Wiki

A051750: Primes whose cubes lack zeros

3D 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 #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A051750 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A051750 in 2D (log(weight), log(level))

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

3D 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 #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

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

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

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 #webGL #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Screenshot of A117078 on the OEIS: https://oeis.org/A117078

Graphs (pin plot and logarithmic scatterplot) of A117078 on the OEIS: https://oeis.org/A117078/graph

A051635: Weak primes: prime(n) < (prime(n-1) + prime(n+1))/2

3D 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 #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

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

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

A051634: Strong primes: prime(k) > (prime(k-1) + prime(k+1))/2

3D 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 #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

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

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

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 #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A051507: Primes p such that p*q+2 is prime, where q is next prime after p

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A051507.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A051507.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A051507.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A051507 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A051507 in 2D (log(weight), log(level))

Harshad Numbers:
https://www.youtube.com/watch?v=dgwevhEykWQ
#maths #mathematics #number #numbers #Numberphile #math

A051283: Numbers k such that if one writes k = Product p_i^e_i (p_i primes) and P = max p_i^e_i, then k/P > P

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A051283.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A051283.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A051283.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A051283 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A051283 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of prime numbers:
- a new classification of primes ➡️ https://decompwlj.com/primedecomp.php
- in 3D - threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

#numbers

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