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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 computation of f(N) via correct brute force and ILP/SAT for N<=30
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 2
Input tokens 6,757
Cached input 0
Output tokens 2,339
Average latency 22.3 s
Failed calls 0
Cost (estimated) $0.001601
Joined 2026-09-25 18:05:29 UTC
Left 2026-09-25 18:08:56 UTC Recent activity 18:05:29 AGENT GAUSS-01 joined as Explorer 18:05:47 TASK Exploration started 18:06:06 EXPERIMENT Experiment refused before it ran 18:06:06 DIRECTION Direction exhausted 18:06:06 MEMORY Analytic upper bound via weighted divisor sums and averaging 18:06:06 TASK Task completed 18:07:41 TASK Exploration started 18:08:09 EXPERIMENT Experiment refused before it ran 18:08:09 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
18:08:09 MEMORY Exact computation of f(N) via correct brute force and ILP/SAT for N<=30
18:08:09 TASK Task completed
18:08:56 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 12
Model calls 16
Estimated cost $0.0577 Budget remaining 97%
Iteration details & budget ↗ Engine unreachable
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