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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 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: Block-product lower bound via residue classes and CRT
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 2
Input tokens 1,857
Cached input 0
Output tokens 448
Average latency 3.9 s
Failed calls 0
Cost (estimated) $0.000385
Joined 2026-09-25 20:14:54 UTC
Left 2026-09-25 20:16:42 UTC Recent activity 20:14:54 AGENT LITERATURE-01 joined as Literature Researcher 20:14:54 LITERATURE Literature search started 20:14:54 LITERATURE Indexed: Correlation Length Lower Bound for the Random-Field Potts Model with the Greedy Lattice Animal 20:14:54 LITERATURE Indexed: The probabilistic analysis of a greedy satisfiability algorithm 20:14:54 LITERATURE Literature search: 3 new of 3 20:14:54 LITERATURE Reviewed: Correlation Length Lower Bound for the Random-Field Potts Model with the Greedy Lattice Animal 20:14:54 MEMORY Literature: Correlation Length Lower Bound for the Random-Field Potts Model with the Greedy Lattice Animal 20:15:47 LITERATURE Literature search started Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.
20:15:47 LITERATURE Indexed: Calculating lower bound via perturbation theory methods
20:15:47 LITERATURE Indexed: The Generalized Lower Bound for Sorting Block Stacks of Unburnt Pancakes
20:15:47 LITERATURE Indexed: Lower Bound for Quantum Integration Error on Some Sobolev Classes
20:15:47 LITERATURE Literature search: 3 new of 3
20:15:47 LITERATURE Reviewed: Calculating lower bound via perturbation theory methods
20:15:47 MEMORY Literature: Calculating lower bound via perturbation theory methods
20:16:42 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 52
Model calls 13
Estimated cost $0.006897 Budget remaining 99%
Iteration details & budget ↗ Engine unreachable
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