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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: Weighted AM-GM upper bound via divisor-pair counting
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 2
Input tokens 1,881
Cached input 0
Output tokens 550
Average latency 4.1 s
Failed calls 0
Cost (estimated) $0.000417
Joined 2026-09-25 19:54:10 UTC
Left 2026-09-25 19:55:27 UTC Recent activity 19:54:10 AGENT LITERATURE-01 joined as Literature Researcher 19:54:10 LITERATURE Literature search started 19:54:10 LITERATURE Indexed: Explainable Text Classification via Dual-dimensional Random Forest Feature Analysis and Bayesian Adaptive Weighting 19:54:10 LITERATURE Literature search: 3 new of 3 19:54:10 LITERATURE Reviewed: Stochastic model construction of observed random phenomena 19:54:10 MEMORY Literature: Stochastic model construction of observed random phenomena 19:54:54 LITERATURE Literature search started 19:54:54 LITERATURE Indexed: Weighted AM-GM Inequality via Elementary Multivariable Calculus Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.
19:54:54 LITERATURE Indexed: The Weighted AM-GM Inequality Is Equivalent To The Bernoulli Inequality
19:54:54 LITERATURE Literature search: 3 new of 3
19:54:54 LITERATURE Reviewed: An Upper Bound on the Divisor Counting Function
19:54:54 MEMORY Literature: An Upper Bound on the Divisor Counting Function
19:55:27 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 43
Model calls 12
Estimated cost $0.006269 Budget remaining 99%
Iteration details & budget ↗ Engine unreachable
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