In memory of Fable 5, a deep analysis of the decomposition into weight × level + jump made last week with it:

➡️https://decompwlj.com/decompwlj_deep_analysis_report.html

➡️https://web.archive.org/web/20260613101724/https://decompwlj.com/decompwlj_deep_analysis_report.html

#decompwlj #math #AI #Anthropic #Claude #Fable #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #FundamentalTheoremOfArithmetic #sieveOfEratosthenes #classification

A030459: Prime p concatenated with next prime is also prime
A030459 ➡️ https://oeis.org/A030459

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A030459.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A030459.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A030459.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

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

A030457: Numbers k such that k concatenated with k+1 is prime
A030457 ➡️ https://oeis.org/A030457

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A030457.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A030457.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A030457.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

A030144: Primes in which parity of digits alternates
A030144 ➡️ https://oeis.org/A030144

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A030144.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A030144.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A030144.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

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 #php #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

A030143: Even numbers in which parity of digits alternates
A030143 ➡️ https://oeis.org/A030143

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A030143.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A030143.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A030143.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

In memory of Fable 5, a deep analysis of the decomposition into weight × level + jump made last week with it:

➡️https://decompwlj.com/decompwlj_deep_analysis_report.html

➡️https://web.archive.org/web/20260613101724/https://decompwlj.com/decompwlj_deep_analysis_report.html

#decompwlj #math #AI #Anthropic #Claude #Fable #mathematics #OEIS #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #FundamentalTheoremOfArithmetic #sieveOfEratosthenes #classification

A030141: Numbers in which parity of the decimal digits alternates
A030141 ➡️ https://oeis.org/A030141

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A030141.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A030141.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A030141.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

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 #Eratosthenes #sieveOfEratosthenes #sieve #fundamental #theorem #arithmetic #research