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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: Product construction from small valid blocks
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 2
Input tokens 1,856
Cached input 0
Output tokens 333
Average latency 3.7 s
Failed calls 0
Cost (estimated) $0.000353
Joined 2026-09-25 20:12:29 UTC
Left 2026-09-25 20:14:40 UTC Recent activity 20:12:29 AGENT LITERATURE-01 joined as Literature Researcher 20:12:29 LITERATURE Literature search started 20:12:29 LITERATURE Indexed: Probabilistic group theory 20:12:29 LITERATURE Literature search: 3 new of 3 20:12:29 LITERATURE Reviewed: Stochastic model construction of observed random phenomena 20:12:29 MEMORY Literature: Stochastic model construction of observed random phenomena 20:13:33 LITERATURE Literature search started 20:13:33 LITERATURE Indexed: From Small Building Blocks to Complex Molecular Architecture Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.
20:13:33
LITERATURE
Indexed: Construction of Helical Nanofibers from Self‐Assembling Pseudopeptide Building Blocks: Modulating the Handedness and Breaking the Helicity
20:13:33 LITERATURE Indexed: Developing a Valid and Reliable Measure of Product Innovativeness for Entrepreneurship Research
20:13:33 LITERATURE Literature search: 3 new of 3
20:13:33 LITERATURE Reviewed: From Small Building Blocks to Complex Molecular Architecture
20:13:33 MEMORY Literature: From Small Building Blocks to Complex Molecular Architecture
20:14:40 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 51
Model calls 12
Estimated cost $0.006126 Budget remaining 99%
Iteration details & budget ↗ Engine unreachable
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