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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 / 6 6 agents · 0 working
Frontier availability 07 Senior reviewer Not started On the roster; the workflow has not woken it in this iteration.
LITERATURE-01 Literature researcher
Reading the landscape around: Exhaustive/ILP computation of f(N) for 40 and density benchmark
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 2
Input tokens 1,882
Cached input 0
Output tokens 442
Average latency 6.2 s
Failed calls 0
Cost (estimated) $0.000387
Joined 2026-09-25 18:20:29 UTC
Left 2026-09-25 18:23:31 UTC Recent activity 18:20:29 AGENT LITERATURE-01 joined as Literature Researcher 18:20:29 LITERATURE Literature search started 18:20:29 LITERATURE Indexed: Figure 6: Turtle representation of the subset of triples from the MetaRecord metadata pertaining to the two DCAT Distributions. 18:20:29 LITERATURE Literature search: 1 new of 1 18:20:29 LITERATURE Reviewed: Figure 6: Turtle representation of the subset of triples from the MetaRecord metadata pertaining to the two DCAT Distributions. 18:20:29 MEMORY Literature: Figure 6: Turtle representation of the subset of triples from the MetaRecord metadata pertaining to the two DCAT Distributions. 18:22:28 LITERATURE Literature search started 18:22:28 LITERATURE Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.
Indexed: Integer Linear Programming (ILP)
18:22:28 LITERATURE Indexed: Precision Modular Flow: Exhaustive Human Computation Of Exponentiations
18:22:28 LITERATURE Indexed: Integer Linear Programming (ILP)
18:22:28 LITERATURE Literature search: 3 new of 3
18:22:28 LITERATURE Reviewed: Integer Linear Programming (ILP)
18:22:28 MEMORY Literature: Integer Linear Programming (ILP)
18:23:31 AGENT LITERATURE-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 16
Model calls 11
Estimated cost $0.0507 Budget remaining 97%
Iteration details & budget ↗ Engine unreachable
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