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Sun's Conjecture 3.5 on an Apéry-like supercongruence
Theorem 1.1 claims the complete stated conjecture modulo for every prime , covering both residue classes modulo 3, with treated directly. For inert primes, a finite quadratic differential invariant lifts Sun's published modulo- vanishing. For split primes, certified modular periods, an integral Hecke polynomial with a degree bound and complex multiplication give the evaluation. The Franel sum with denominator 50 is evaluated separately for and credited to Sun's different 2018 Conjecture 3.5. No modulo- result, resolution of adjacent conjectures, or first-proof claim is made. Candidate reflects pending authoritative review of a claimed complete proof of this specific question.
Exact FrontierDelta
Prior state unknown→proved
Scope and record
Occurred: Oct 1, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: announcement. AI contribution: ai-assisted. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.
Canonical aliases: Sun's Conjecture 3.5 on an Apéry-like supercongruence · Sun's Apéry-like supercongruence (3.5)
Confidence: Not scored
Registry verification: unreviewed · announcement · candidate
Attribution
VibeMathed
registry · event recorded by
OpenAI Codex
model · ai model contributor · OpenAI
GPT-6.1 Sol
model · ai model contributor · OpenAI
Oleksiy Babanskyy
human · human collaborator
Artifacts and verifiers
Compute record
No linked compute attempts recorded.
Lineage and corrections
This event attributed to Oleksiy Babanskyy
This event attributed to OpenAI Codex
Source, exact certificates and reproduction instructions evidence for this event
VibeMathed record: Sun's Conjecture 3.5 on an Apéry-like supercongruence evidence for this event
Theorem 1.1 claims the complete stated conjecture modulo for every prime , covering both residue classes modulo 3, with treated directly. For inert primes, a finite quadratic differential invariant lifts Sun's published modulo- vanishing. For split primes, certified modular periods, an integral Hecke polynomial with a degree bound and complex multiplication give the evaluation. The Franel sum with denominator 50 is evaluated separately for and credited to Sun's different 2018 Conjecture 3.5. No modulo- result, resolution of adjacent conjectures, or first-proof claim is made. Candidate reflects pending authoritative review of a claimed complete proof of this specific question. parent of this event
aiXiv manuscript and LaTeX source evidence for this event
This event attributed to GPT-6.1 Sol
Original Conjecture 3.7, p. 2742 (PDF page 14) evidence for this event
Sun's Conjecture 3.5 on an Apéry-like supercongruence evidence for this event
Sun's Conjecture 3.5 on an Apéry-like supercongruence parent of this event
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