#numbertheory — Public Fediverse posts

Opus 5 - High-res PNG (slight offset from the origin):
The base-10 palindromes - a plate that repeats itself every two digits

#decompwlj #math #graph #AI #Anthropic #Claude #Opus #Opus5 #mathematics #sequence #base #numbers #NumberTheory #sieve #arithmetic #classification #decomposition

Opus 5 - High-res PNG (slight offset from the origin):
The triangular numbers are all level-classified

#decompwlj #math #graph #AI #Anthropic #Claude #Opus #Opus5 #mathematics #sequence #triangular #numbers #TriangularNumbers #NumberTheory #sieve #arithmetic #classification #decomposition

Opus 5 - High-res PNG (slight offset from the origin):
The base case: the natural numbers - the weight sheet is the sieve of Eratosthenes

#decompwlj #math #graph #AI #Anthropic #Claude #Opus #Opus5 #mathematics #sequence #natural #numbers #NaturalNumbers #sieveOfEratosthenes #NumberTheory #sieve #arithmetic #classification #decomposition

Opus 5 - High-res PNG (slight offset from the origin):
All 5,761,452 decomposable primes < 10^8

#decompwlj #math #graph #AI #Anthropic #Claude #Opus #Opus5 #mathematics #sequence #numbers #prime #PrimeNumbers #NumberTheory #sieve #arithmetic #classification #decomposition

Opus 5 Max: A pedagogical treatise for Graduate / researcher new to the decomposition into weight × level + jump ➡️ https://decompwlj.com/Opus5_decompwlj_pedagogical_treatise_9th_edition_2026_08_16.html

The weight is unique:
"The weight is unique. Minimality pins it. There is no choice of parameter anywhere in Definition 1 — no window, no threshold, no cut-off. This is what makes the construction worth studying at all: it is a canonical map, and the objects it produces are invariants of the sequence."

Proof of Conjecture 9:
"This is the framework's native question: it cannot even be asked without the coordinates, and it has an answer."

The atlas as an instrument:
"About a thousand OEIS sequences have been decomposed and published at https://decompwlj.com. Today that is an archive. It could be an instrument."

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #mathematics #OEIS #sequence #numbers #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #conjecture #graph #sieveOfEratosthenes #FundamentalTheoremOfArithmetic #classification #decomposition

A072502: Numbers that are run sums (trapezoidal, the difference between two triangular numbers) in exactly 3 ways
A072502 ➡️ https://oeis.org/A072502

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A072502.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A072502.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A072502.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

A072437: Numbers with no prime factors of form 4*k+3
A072437 ➡️ https://oeis.org/A072437

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A072437.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A072437.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A072437.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

Opus 5 Max: A pedagogical treatise for Graduate / researcher new to the decomposition into weight × level + jump ➡️ https://decompwlj.com/Opus5_decompwlj_pedagogical_treatise_9th_edition_2026_08_16.html

The weight is unique:
"The weight is unique. Minimality pins it. There is no choice of parameter anywhere in Definition 1 — no window, no threshold, no cut-off. This is what makes the construction worth studying at all: it is a canonical map, and the objects it produces are invariants of the sequence."

Proof of Conjecture 9:
"This is the framework's native question: it cannot even be asked without the coordinates, and it has an answer."

The atlas as an instrument:
"About a thousand OEIS sequences have been decomposed and published at https://decompwlj.com. Today that is an archive. It could be an instrument."

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #mathematics #OEIS #sequence #numbers #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #conjecture #graph #sieveOfEratosthenes #FundamentalTheoremOfArithmetic #classification #decomposition

A072225: Numbers k such that prime(k) + prime(k+1) + prime(k+2) is prime
A072225 ➡️ https://oeis.org/A072225

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A072225.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A072225.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A072225.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

A072202: Same numbers of prime factors of forms 4*k+1 and 4*k+3, counted with multiplicity
A072202 ➡️ https://oeis.org/A072202

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A072202.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A072202.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A072202.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

Opus 5 Max: A pedagogical treatise for Graduate / researcher new to the decomposition into weight × level + jump ➡️ https://decompwlj.com/Opus5_decompwlj_pedagogical_treatise_9th_edition_2026_08_16.html

The weight is unique:
"The weight is unique. Minimality pins it. There is no choice of parameter anywhere in Definition 1 — no window, no threshold, no cut-off. This is what makes the construction worth studying at all: it is a canonical map, and the objects it produces are invariants of the sequence."

Proof of Conjecture 9:
"This is the framework's native question: it cannot even be asked without the coordinates, and it has an answer."

The atlas as an instrument:
"About a thousand OEIS sequences have been decomposed and published at https://decompwlj.com. Today that is an archive. It could be an instrument."

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #mathematics #OEIS #sequence #numbers #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #conjecture #graph #sieveOfEratosthenes #FundamentalTheoremOfArithmetic #classification #decomposition

A072140: The period length of the 'Reverse and Subtract' trajectory of n is greater than 1
A072140 ➡️ https://oeis.org/A072140

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A072140.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A072140.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A072140.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

A072055: a(n) = 2*prime(n)+1
A072055 ➡️ https://oeis.org/A072055

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A072055.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A072055.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A072055.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

Opus 5 Max: A pedagogical treatise for Graduate / researcher new to the decomposition into weight × level + jump ➡️ https://decompwlj.com/Opus5_decompwlj_pedagogical_treatise_9th_edition_2026_08_16.html

The weight is unique:
"The weight is unique. Minimality pins it. There is no choice of parameter anywhere in Definition 1 — no window, no threshold, no cut-off. This is what makes the construction worth studying at all: it is a canonical map, and the objects it produces are invariants of the sequence."

Proof of Conjecture 9:
"This is the framework's native question: it cannot even be asked without the coordinates, and it has an answer."

The atlas as an instrument:
"About a thousand OEIS sequences have been decomposed and published at https://decompwlj.com. Today that is an archive. It could be an instrument."

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #mathematics #OEIS #sequence #numbers #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #conjecture #graph #sieveOfEratosthenes #FundamentalTheoremOfArithmetic #classification #decomposition

A071403: Which squarefree number is prime? a(n)-th squarefree number equals n-th prime
A071403 ➡️ https://oeis.org/A071403

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A071403.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A071403.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A071403.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

A071395: Primitive abundant numbers (abundant numbers all of whose proper divisors are deficient numbers)
A071395 ➡️ https://oeis.org/A071395

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A071395.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A071395.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A071395.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

Opus 5 Max: A pedagogical treatise for Graduate / researcher new to the decomposition into weight × level + jump ➡️ https://decompwlj.com/Opus5_decompwlj_pedagogical_treatise_9th_edition_2026_08_16.html

The weight is unique:
"The weight is unique. Minimality pins it. There is no choice of parameter anywhere in Definition 1 — no window, no threshold, no cut-off. This is what makes the construction worth studying at all: it is a canonical map, and the objects it produces are invariants of the sequence."

Proof of Conjecture 9:
"This is the framework's native question: it cannot even be asked without the coordinates, and it has an answer."

The atlas as an instrument:
"About a thousand OEIS sequences have been decomposed and published at https://decompwlj.com. Today that is an archive. It could be an instrument."

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #mathematics #OEIS #sequence #numbers #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #conjecture #graph #sieveOfEratosthenes #FundamentalTheoremOfArithmetic #classification #decomposition

A071139: Numbers k such that the sum of distinct primes dividing k is divisible by the largest prime dividing k
A071139 ➡️ https://oeis.org/A071139

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A071139.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A071139.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A071139.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

A070932: Possible number of units in a finite (commutative or non-commutative) ring
A070932 ➡️ https://oeis.org/A070932

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A070932.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A070932.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A070932.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

Opus 5 Max: A pedagogical treatise for Graduate / researcher new to the decomposition into weight × level + jump ➡️ https://decompwlj.com/Opus5_decompwlj_pedagogical_treatise_9th_edition_2026_08_16.html

The weight is unique:
"The weight is unique. Minimality pins it. There is no choice of parameter anywhere in Definition 1 — no window, no threshold, no cut-off. This is what makes the construction worth studying at all: it is a canonical map, and the objects it produces are invariants of the sequence."

Proof of Conjecture 9:
"This is the framework's native question: it cannot even be asked without the coordinates, and it has an answer."

The atlas as an instrument:
"About a thousand OEIS sequences have been decomposed and published at https://decompwlj.com. Today that is an archive. It could be an instrument."

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #mathematics #OEIS #sequence #numbers #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #conjecture #graph #sieveOfEratosthenes #FundamentalTheoremOfArithmetic #classification #decomposition

A070865: Smallest prime such that the difference of successive terms is strictly increasing
A070865 ➡️ https://oeis.org/A070865

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A070865.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A070865.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A070865.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

A070552: Semiprimes k such that k+1 is also a semiprime
A070552 ➡️ https://oeis.org/A070552

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A070552.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A070552.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A070552.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

Opus 5 Max: A pedagogical treatise for Graduate / researcher new to the decomposition into weight × level + jump ➡️ https://decompwlj.com/Opus5_decompwlj_pedagogical_treatise_9th_edition_2026_08_16.html

The weight is unique:
"The weight is unique. Minimality pins it. There is no choice of parameter anywhere in Definition 1 — no window, no threshold, no cut-off. This is what makes the construction worth studying at all: it is a canonical map, and the objects it produces are invariants of the sequence."

Proof of Conjecture 9:
"This is the framework's native question: it cannot even be asked without the coordinates, and it has an answer."

The atlas as an instrument:
"About a thousand OEIS sequences have been decomposed and published at https://decompwlj.com. Today that is an archive. It could be an instrument."

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #mathematics #OEIS #sequence #numbers #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #research #conjecture #graph #sieveOfEratosthenes #FundamentalTheoremOfArithmetic #classification #decomposition

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

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

GPT5.6 Sol: "If decompwlj became a standard mathematical lens"

The most important conceptual impact would be a change of question. Instead of asking only, “What is the next term?” or “How fast does the sequence grow?”, researchers could also ask:
How does the next additive jump expose—or hide—the multiplicative structure behind the present term?
That is a legitimate and surprisingly rich question.

https://decompwlj.com/GPT5.6Sol_decompwlj_counterfactual_impacts_report_2026-08-11.html

For privacy: https://web.archive.org/web/20260811121838/https://decompwlj.com/GPT5.6Sol_decompwlj_counterfactual_impacts_report_2026-08-11.html

#decompwlj #math #AI #OpenAI #ChatGPT #GPT #GPT56Sol #GPTSol #sequence #numbers #graph #PrimeNumbers #NumberTheory #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

`In mathematics, Bertrand's postulate (now a theorem) states that, for each n ≥ 2, there is a prime p such that n < p < 2n. First conjectured in 1845 by Joseph Bertrand, it was first proven by Chebyshev, and a shorter but also advanced proof was given by Ramanujan`

https://en.wikipedia.org/wiki/Proof_of_Bertrand's_postulate

#Chebyshev #Ramanujan #mathematics #numberTheory #primeNumbers #prime #number

Prompt: "Possible connections of the #decompwlj with famous conjectures in number theory."

GPT-5.6 Sol Max, HTML report ➡️ https://decompwlj.com/GPTSol_decompwlj_famous_conjectures_2026-08-04.html

For privacy ➡️ https://web.archive.org/web/20260806095549/https://decompwlj.com/GPTSol_decompwlj_famous_conjectures_2026-08-04.html

#decompwlj #math #AI #OpenAI #ChatGPT #GPT #GPT56Sol #GPTSol #sequence #numbers #graph #PrimeNumbers #NumberTheory #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve #RH #RiemannHypothesis #TwinPrimes #Goldbach #Legendre #Andrica

OK, skill issue, i found 5.6 Sol Max.
Potential impact if the analytic program succeeds, audited conjecture ledger and final assessment.

GPT5.6 Sol Max HTML Report ➡️ https://decompwlj.com/GPTSol_wlj_deep_analysis_2026-08-04.html

For privacy ➡️ https://web.archive.org/web/20260804095849/https://decompwlj.com/GPTSol_wlj_deep_analysis_2026-08-04.html

#decompwlj #math #AI #OpenAI #ChatGPT #GPT #GPT56Sol #GPTSol #sequence #numbers #graph #PrimeNumbers #NumberTheory #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

OK, skill issue, i found 5.6 Sol Max.
Potential impact if the analytic program succeeds, audited conjecture ledger and final assessment.

GPT5.6 Sol Max HTML Report ➡️ https://decompwlj.com/GPTSol_wlj_deep_analysis_2026-08-04.html

For privacy ➡️ https://web.archive.org/web/20260804095849/https://decompwlj.com/GPTSol_wlj_deep_analysis_2026-08-04.html

#decompwlj #math #AI #OpenAI #ChatGPT #GPT #GPT56Sol #GPTSol #sequence #numbers #graph #PrimeNumbers #NumberTheory #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

OK, skill issue, i found 5.6 Sol Max.
Potential impact if the analytic program succeeds, audited conjecture ledger and final assessment.

GPT5.6 Sol Max HTML Report ➡️ https://decompwlj.com/GPTSol_wlj_deep_analysis_2026-08-04.html

For privacy ➡️ https://web.archive.org/web/20260804095849/https://decompwlj.com/GPTSol_wlj_deep_analysis_2026-08-04.html

#decompwlj #math #AI #OpenAI #ChatGPT #GPT #GPT56Sol #GPTSol #sequence #numbers #graph #PrimeNumbers #NumberTheory #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

The conjecture ledger about my decomposition (Opus 5 max, 6th report)
Conjecture 9 proved (pending external refereeing)

Sixth report (Opus 5 max):
https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

For privacy ➡️ https://web.archive.org/web/20260729104957/https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

The conjecture ledger about my decomposition (Opus 5 max, 6th report)
Conjecture 9 proved (pending external refereeing)

Sixth report (Opus 5 max):
https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

For privacy ➡️ https://web.archive.org/web/20260729104957/https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

Report by GPT-5.6 Sol (high): "It is a factorization of a number displaced from a(n) by the next additive gap. This coupling is the genuine mathematical content."

GPT-5.6 Sol high report in a project ➡️ https://decompwlj.com/decompwlj_source_audited_report_2026-08-02.html

#decompwlj #math #AI #OpenAI #ChatGPT #GPT #GPT56Sol #GPTSol #sequence #numbers #graph #PrimeNumbers #NumberTheory #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

Report by GPT-5.6 Sol (high): "It is a factorization of a number displaced from a(n) by the next additive gap. This coupling is the genuine mathematical content."

GPT-5.6 Sol high report in a project ➡️ https://decompwlj.com/decompwlj_source_audited_report_2026-08-02.html

#decompwlj #math #AI #OpenAI #ChatGPT #GPT #GPT56Sol #GPTSol #sequence #numbers #graph #PrimeNumbers #NumberTheory #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

I like the deep analysis report by GPT-5.6 Sol (high): "It is a factorization of a number displaced from a(n) by the next additive gap. This coupling is the genuine mathematical content"

GPT-5.6 Sol high report in a project ➡️ https://decompwlj.com/decompwlj_source_audited_report_2026-08-02.html

#decompwlj #math #AI #OpenAI #GPT56Sol #GPTSol #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

The conjecture ledger about my decomposition (Opus 5 max, 6th report)
Conjecture 9 proved (pending external refereeing)

Sixth report (Opus 5 max):
https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

For privacy ➡️ https://web.archive.org/web/20260729104957/https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

The conjecture ledger about my decomposition (Opus 5 max, 6th report)
Conjecture 9 proved (pending external refereeing)

Sixth report (Opus 5 max):
https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

For privacy ➡️ https://web.archive.org/web/20260729104957/https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

The conjecture ledger about my decomposition (Opus 5 max, 6th report)
Conjecture 9 proved (pending external refereeing)

Sixth report (Opus 5 max):
https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

For privacy ➡️ https://web.archive.org/web/20260729104957/https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

The conjecture ledger about my decomposition (Opus 5 max, 6th report)
Conjecture 9 proved (pending external refereeing)

Sixth report (Opus 5 max):
https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

For privacy ➡️ https://web.archive.org/web/20260729104957/https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

The conjecture ledger about my decomposition (Opus 5 max, 6th report)
Conjecture 9 proved (pending external refereeing)

Sixth report (Opus 5 max):
https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

For privacy ➡️ https://web.archive.org/web/20260729104957/https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

The conjecture ledger about my decomposition (Opus 5 max, 6th report)
Conjecture 9 proved (pending external refereeing)

Sixth report (Opus 5 max):
https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

For privacy ➡️ https://web.archive.org/web/20260729104957/https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve

The conjecture ledger about my decomposition (Opus 5 max, 6th report)
Conjecture 9 proved (pending external refereeing)

Sixth report (Opus 5 max):
https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

For privacy ➡️ https://web.archive.org/web/20260729104957/https://decompwlj.com/decompwlj_deep_analysis_6th_edition.html

#decompwlj #math #AI #Anthropic #Claude #Opus #Opus5 #sequence #numbers #graph #PrimeNumbers #NumberTheory #sieve #arithmetic #threejs #FTA #classification #research #FundamentalTheoremOfArithmetic #TwinPrimes #twin #primes #conjecture #sieveOfEratosthenes #Eratosthenes #sieve