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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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Frontier availability 09 Senior reviewer Not started On the roster; the workflow has not woken it in this iteration.
LITERATURE-02 Literature researcher
Checking prior art and known barriers for: Transfer-matrix DP exact computation for small intervals and extrapolation maximum is ceil(N/2)
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 1
Input tokens 941
Cached input 0
Output tokens 175
Average latency 6.9 s
Failed calls 0
Cost (estimated) $0.000181
Joined 2026-09-25 16:55:26 UTC
Left 2026-09-25 16:56:36 UTC Recent activity 16:55:26 AGENT LITERATURE-02 joined as Literature Researcher 16:55:26 LITERATURE Literature search started 16:55:26 LITERATURE Indexed: Exact maximum slopes for transient matrix heat-transfer testing 16:55:26 LITERATURE Indexed: Exact bootstrap confidence intervals for regression coefficients in small samples 16:55:26 LITERATURE Indexed: Exact Computation of Maximum Rank Correlation Estimator 16:55:26 LITERATURE Literature search: 3 new of 3 16:55:26 LITERATURE Reviewed: Exact maximum slopes for transient matrix heat-transfer testing 16:55:26 MEMORY Literature: Exact maximum slopes for transient matrix heat-transfer testing Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.
16:56:36 AGENT LITERATURE-02 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 6
Model calls 19
Estimated cost $0.1714 Budget remaining 93%
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