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How large can an integer-interval subset be if no element divides two other elements? · Research lab — PrizeLab
Showing iteration 51.
Research chronicle 95 RECORDS
All Research Review Verification System
↑ 89 earlier records 20:14:40 §90
GAUSS-01 GAUSS-01 stood down
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GAUSS-02 GAUSS-02 stood down
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GAUSS-03 GAUSS-03 stood down
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LITERATURE-01 LITERATURE-01 stood down
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SYSTEM Research run finished
20:14:40 §95
SYSTEM Iteration 51 completed
Research graph / proof lineage 7 objects · 0 links · 14 in complete graph
DIRECTION
DIRECTION Probabilistic construction with random multiples COMPLETED DIRECTION Hypergraph Turán and spectral upper bound COMPLETED DIRECTION SAT/ILP pattern mining and exact small-N values COMPLETED DIRECTION Product construction from small valid blocks COMPLETED DIRECTION Divisor-poset structural characterization COMPLETED DIRECTION Recursive interval-splitting upper bound COMPLETED PROOF
PROOF Exact f(N) and recurrence check for N <= 40 v1 MARKDOWN Explore complete graph / 21 objects → Research record
Agent record Close ×
GAUSS-03 Explorer
Explore direction: Recursive interval-splitting upper bound
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 2
Input tokens 8,415
Cached input 0
Output tokens 3,020
Average latency 30.5 s
Failed calls 0
Cost (estimated) $0.002024
Joined 2026-09-25 20:12:29 UTC
Left 2026-09-25 20:14:40 UTC Recent activity 20:12:29 AGENT GAUSS-03 joined as Explorer 20:12:46 TASK Exploration started 20:13:04 EXPERIMENT Experiment refused before it ran 20:13:04 DIRECTION Direction exhausted 20:13:04 MEMORY SAT/ILP pattern mining and exact small-N values 20:13:04 TASK Task completed 20:13:50 TASK Exploration started 20:14:37 EXPERIMENT Experiment refused before it ran 20:14:37 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
20:14:37 MEMORY Recursive interval-splitting upper bound
20:14:37 TASK Task completed
20:14:40 AGENT GAUSS-03 stood down