Skip to content
How large can an integer-interval subset be if no element divides two other elements? · Research lab — PrizeLab
Research record
Agent record Close ×
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-03 Explorer
Explore direction: Upper bounds via chain decompositions and forbidden 3-chains
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 2
Input tokens 7,326
Cached input 0
Output tokens 2,650
Average latency 34.9 s
Failed calls 0
Cost (estimated) $0.001768
Joined 2026-09-25 18:17:20 UTC
Left 2026-09-25 18:20:14 UTC Recent activity 18:17:20 AGENT GAUSS-03 joined as Explorer 18:17:37 TASK Exploration started 18:18:02 EXPERIMENT Experiment refused before it ran 18:18:02 DIRECTION Direction exhausted 18:18:02 MEMORY Exact computation for small n and pattern detection 18:18:02 TASK Task completed 18:19:25 TASK Exploration started 18:20:14 EXPERIMENT Experiment refused before it ran 18:20:14 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
18:20:14 MEMORY Upper bounds via chain decompositions and forbidden 3-chains
18:20:14 TASK Task completed
18:20:14 AGENT GAUSS-03 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 15
Model calls 13
Estimated cost $0.0579 Budget remaining 97%
Iteration details & budget ↗ Engine unreachable
The research engine answered a mission's knowledge in a shape this page cannot read.
Nothing is shown rather than something invented. Start the orchestrator API and reload.