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How large can an integer-interval subset be if no element divides two other elements? · Research lab — PrizeLab
Research record
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AGENTS / 8 8 agents · 0 working
Frontier availability 09 Senior reviewer Not started On the roster; the workflow has not woken it in this iteration.
GAUSS-01 Explorer
Explore direction: Exact maxima f(N) for N up to 100 via ILP/SAT and structural data-mining of extremal sets
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 3
Input tokens 7,356
Cached input 3,740
Output tokens 2,606
Average latency 41.4 s
Failed calls 1
Cost (estimated) $0.001348
Joined 2026-09-25 18:09:25 UTC
Left 2026-09-25 18:13:19 UTC Recent activity 18:09:25 AGENT GAUSS-01 joined as Explorer 18:09:43 TASK Exploration started 18:11:35 EXPERIMENT Experiment refused before it ran 18:11:35 DIRECTION Direction exhausted 18:11:35 MEMORY Hypergraph matching/covering upper bound via fractional weights 18:11:35 TASK Task completed 18:12:33 TASK Exploration started 18:12:49 EXPERIMENT Experiment refused before it ran 18:12:49 DIRECTION Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.
Direction exhausted
18:12:49 MEMORY Exact maxima f(N) for N up to 100 via ILP/SAT and structural data-mining of extremal sets
18:12:49 TASK Task completed
18:13:19 AGENT GAUSS-01 stood down Mission
Runtime 9 h 14 min
Iteration 57 of 57
Directions 331
Hypotheses 17
Experiments 266
Rejected paths 64 Current direction No direction is open.
Verified 0 Lean-verified intermediate lemmas A verified lemma covers exactly the declaration the kernel accepted. The problem stays open until it is settled either way. Literature
Indexed 109
Highly relevant 1 Iteration 13
Model calls 12
Estimated cost $0.0502 Budget remaining 97%
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