#theorem — Public Fediverse posts

A064052: Not sqrt(n)-smooth: some prime factor of n is > sqrt(n)
A064052 ➡️ https://oeis.org/A064052

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

A064052: Not sqrt(n)-smooth: some prime factor of n is > sqrt(n)
A064052 ➡️ https://oeis.org/A064052

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

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 #3D #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 #3D #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A063980: Pillai primes: primes p such that there exists an integer m such that m! + 1 == 0 (mod p) and p != 1 (mod m)
A063980 ➡️ https://oeis.org/A063980

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

A063980: Pillai primes: primes p such that there exists an integer m such that m! + 1 == 0 (mod p) and p != 1 (mod m)
A063980 ➡️ https://oeis.org/A063980

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

Theorem of the Day (August 13, 2026) : Cantor’s Uncountability Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/LogicAndComputerScience/CantorUncountable/TotDCantorU.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#22

#mathematics #maths #math #theorem @Theoremoftheday

Theorem of the Day (August 13, 2026) : Cantor’s Uncountability Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/LogicAndComputerScience/CantorUncountable/TotDCantorU.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#22

#mathematics #maths #math #theorem @Theoremoftheday

A063948: Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x
A063948 ➡️ https://oeis.org/A063948

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

A063948: Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x
A063948 ➡️ https://oeis.org/A063948

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

A063825: Numbers k such that k-3, k-5, k-17, k-257, and k-65537 are all primes
A063825 ➡️ https://oeis.org/A063825

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063825.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063825.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063825.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

A063825: Numbers k such that k-3, k-5, k-17, k-257, and k-65537 are all primes
A063825 ➡️ https://oeis.org/A063825

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063825.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063825.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063825.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

A063638: Primes p such that p-2 is a semiprime
A063638 ➡️ https://oeis.org/A063638

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063638.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063638.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063638.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

A063638: Primes p such that p-2 is a semiprime
A063638 ➡️ https://oeis.org/A063638

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063638.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063638.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063638.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 #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 #graph #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A063037: Numbers without 3 consecutive equal binary digits
A063037 ➡️ https://oeis.org/A063037

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063037.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063037.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063037.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

A063037: Numbers without 3 consecutive equal binary digits
A063037 ➡️ https://oeis.org/A063037

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A063037.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A063037.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A063037.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

Theorem of the Day (August 12, 2026) : Euler’s Continued Fraction Correspondence
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/NumberTheory/EulerCF/TotDEulerCF.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#203

#mathematics #maths #math #theorem @Theoremoftheday

Theorem of the Day (August 12, 2026) : Euler’s Continued Fraction Correspondence
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/NumberTheory/EulerCF/TotDEulerCF.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#203

#mathematics #maths #math #theorem @Theoremoftheday

A062634: Numbers k such that every divisor of k contains the digit 1
A062634 ➡️ https://oeis.org/A062634

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062634.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062634.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062634.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

A062634: Numbers k such that every divisor of k contains the digit 1
A062634 ➡️ https://oeis.org/A062634

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062634.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062634.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062634.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

A062115: Numbers with no prime substring in their decimal expansion
A062115 ➡️ https://oeis.org/A062115

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062115.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062115.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062115.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

A062115: Numbers with no prime substring in their decimal expansion
A062115 ➡️ https://oeis.org/A062115

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062115.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062115.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062115.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

A062060: Numbers with 10 odd integers in their Collatz (or 3x+1) trajectory
A062060 ➡️ https://oeis.org/A062060

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062060.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062060.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062060.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

A062060: Numbers with 10 odd integers in their Collatz (or 3x+1) trajectory
A062060 ➡️ https://oeis.org/A062060

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A062060.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A062060.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A062060.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

A061812: Numbers k such that floor(Pi*k) is a square
A061812 ➡️ https://oeis.org/A061812

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061812.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061812.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061812.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

A061812: Numbers k such that floor(Pi*k) is a square
A061812 ➡️ https://oeis.org/A061812

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061812.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061812.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061812.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

Theorem of the Day (August 11, 2026) : Heath’s Finitely Discontinuous Function Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/Topology/Heath/TotDHeath.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#162

#mathematics #maths #math #theorem @Theoremoftheday

Theorem of the Day (August 11, 2026) : Heath’s Finitely Discontinuous Function Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/Topology/Heath/TotDHeath.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#162

#mathematics #maths #math #theorem @Theoremoftheday

A061681: a(0)=1; a(n) = a(n-1) + lead(a(n-1)) for n > 0 where for an integer x lead(x) is the leading digit in base 10
A061681 ➡️ https://oeis.org/A061681

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061681.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061681.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061681.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

A061681: a(0)=1; a(n) = a(n-1) + lead(a(n-1)) for n > 0 where for an integer x lead(x) is the leading digit in base 10
A061681 ➡️ https://oeis.org/A061681

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061681.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061681.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061681.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

A061673: Even numbers k such that k+1 and k-1 are both composite
A061673 ➡️ https://oeis.org/A061673

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061673.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061673.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061673.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

A061673: Even numbers k such that k+1 and k-1 are both composite
A061673 ➡️ https://oeis.org/A061673

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061673.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061673.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061673.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

A061657: Numbers k > 1 such that, in base 3, k and k^2 contain the same digits in the same proportion
A061657 ➡️ https://oeis.org/A061657

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061657.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061657.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061657.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

A061657: Numbers k > 1 such that, in base 3, k and k^2 contain the same digits in the same proportion
A061657 ➡️ https://oeis.org/A061657

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061657.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061657.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061657.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 #sieve #Eratosthenes #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 #sieve #Eratosthenes #fundamental #theorem #arithmetic #research

A061656: Numbers k > 1 such that, in base 2, k and k^2 contain the same digits in the same proportion
A061656 ➡️ https://oeis.org/A061656

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061656.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061656.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061656.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

A061656: Numbers k > 1 such that, in base 2, k and k^2 contain the same digits in the same proportion
A061656 ➡️ https://oeis.org/A061656

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061656.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061656.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061656.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

Theorem of the Day (August 10, 2026) : The Strong Perfect Graph Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/CombinatorialTheory/SPGT/TotDSPGT.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#60

#mathematics #maths #math #theorem @Theoremoftheday

Theorem of the Day (August 10, 2026) : The Strong Perfect Graph Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/CombinatorialTheory/SPGT/TotDSPGT.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#60

#mathematics #maths #math #theorem @Theoremoftheday

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