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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 / 8 8 agents · 0 working
Frontier availability 09 Senior reviewer Not started On the roster; the workflow has not woken it in this iteration.
GAUSS-02 Explorer
Explore direction: Baseline verification and structural decomposition of the interval construction
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 2
Input tokens 7,686
Cached input 0
Output tokens 2,401
Average latency 35.0 s
Failed calls 0
Cost (estimated) $0.001748
Joined 2026-09-25 18:47:16 UTC
Left 2026-09-25 18:50:23 UTC Recent activity 18:47:16 AGENT GAUSS-02 joined as Explorer 18:47:42 TASK Exploration started 18:48:22 EXPERIMENT Experiment refused before it ran 18:48:22 DIRECTION Direction exhausted 18:48:22 MEMORY Constructive lower bound via layered odd-part families 18:48:22 TASK Task completed 18:49:26 TASK Exploration started 18:50:00 EXPERIMENT Experiment refused before it ran 18:50:00 DIRECTION Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.
Direction exhausted
18:50:00 MEMORY Baseline verification and structural decomposition of the interval construction
18:50:00 TASK Task completed
18:50:23 AGENT GAUSS-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 21
Model calls 13
Estimated cost $0.0533 Budget remaining 97%
Iteration details & budget ↗ Engine unreachable
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