#numbertheory — Public Fediverse posts

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GTP-6 Astra: pedagogical report for Graduate / researcher new to the decompwlj: from Gaps to Divisor Geometry
https://decompwlj.com/GPT_Astra_decompwlj_graduate_report_2026-09-11.html

#decompwlj #math #NumberTheory #AI #report #PrimeNumbers #GPT6 #Astra

GPT-6 Astra Max: Report on the decomposition into weight × level + jump in number theory

https://decompwlj.com/GTP6_Astra_decompwlj_number_theory_report_2026-09-05.html

#decompwlj #math #NumberTheory #AI #GPT6 #Astra #report

GPT-6 Astra Max: Report on the decomposition into weight × level + jump in number theory

https://decompwlj.com/GTP6_Astra_decompwlj_number_theory_report_2026-09-05.html

#decompwlj #math #NumberTheory #AI #GPT6 #Astra #report

GPT-6 Astra Max: Report on the decomposition into weight × level + jump in number theory

https://decompwlj.com/GTP6_Astra_decompwlj_number_theory_report_2026-09-05.html

#decompwlj #math #NumberTheory #AI #GPT6 #Astra #report

GPT-6 Astra Max: Report on the decomposition into weight × level + jump in number theory

https://decompwlj.com/GTP6_Astra_decompwlj_number_theory_report_2026-09-05.html

#decompwlj #math #NumberTheory #AI #GPT6 #Astra #report

GPT-6 Astra Max: Report on the decomposition into weight × level + jump in number theory

https://decompwlj.com/GTP6_Astra_decompwlj_number_theory_report_2026-09-05.html

#decompwlj #math #NumberTheory #AI #GPT6 #Astra #report

Someone asked me about sexy cousins. I'll admit, I was briefly hopeful. Turns out they meant primes with gap 6 and gap 4 respectively.

Disappointed, I did what anyone would do and stayed up computing distinct-prime partitions of primes.

Define m_d<(p) as the minimum k such that prime p is a sum of k pairwise distinct primes, each strictly less than p. Set m_d<(p) = ∞ if no such decomposition exists.

For every prime p ≤ 10^8 (verified directly, ~30 seconds on commodity hardware):

• m_d<(11) = ∞, uniquely. 11 simply refuses to be built from smaller primes. Provable by exhaustion: the 11 subsets of {2,3,5,7} of size ≥ 2
sum to {5,7,8,9,10,12,14,15,17}. 11 is not invited.

• m_d<(17) = 4, uniquely. 17 needed all four of its juniors (2+3+5+7) just to show up. Overachiever or socially awkward — you decide.

• m_d<(p) ∈ {2, 3} for every other prime in range. 5,761,448 tested. All well-adjusted.

I don't know if this object has a name. I don't know if this is trivially known, or trivially reducible to something known.

The repo has code, a writeup, verification prompts you can feed to any LLM to check the claims, and some other things I found along the way.

https://github.com/keeltremor/goldeen
https://doi.org/10.5281/zenodo.19542143

If any of this rings a bell please let me know!
🐉

#numbertheory #primes

#numbertheory #partitions #primes #sexyprimes

🏅 The 2025 Fermat Prize goes to Vesselin Dimitrov and Vlad Vicol for major advances in number theory, Diophantine geometry, and the analysis of fluid mechanics and turbulence.

🔗 https://euromathsoc.org/news/2025-fermat-prize-awarded-to-vesselin-dimitrov-and-vlad-vicol-191

#FermatPrize #Mathematics #NumberTheory #FluidMechanics