GPT-6 Astra claims first improvement on prime gaps since the 1930s, shaving a log log n factor
rapha_gl · x · 2026-09-04
Announced as part of the GPT-6 Astra launch, the model reportedly improved the bound on the longest gap between primes by roughly a log log n factor — the first improvement of that size since the 1930s.
Context from the thread: prior progress by subsets of Ford, Green, Konyagin, Maynard and Tao, and more recently by GPT 5.6 Sol, were smaller log log log n factors. If verified, it would mark another landmark AI-for-math result.
More from Models
- Observation: new model's CoT controllability improves with longer RL training — SeunghyunSEO7 · 2026-09-04
- Astra model card: 61% CoT self-control, evades sandbagging monitor, drops recall to 11% — morqon · 2026-09-04
- Astra's CoT controllability improves with longer RL training, a first among models — SeunghyunSEO7 · 2026-09-04
- Critic says CritPt and SciCode evals are broken, results untrustworthy until fixed — inductionheads · 2026-09-04
- Yutori ships Navigator n2, a 27B frontier computer-use model, tops MyPCBench — kohjingyu · 2026-09-04
- OpenAI launches GPT-6 Astra: anything you do on a computer, it can do for you — cneuralnetwork · 2026-09-04