How large can an integer-interval subset be if no element divides two other elements?
RESEARCHING
9 h 14 min
研
Determine how large a subset of an integer interval can be when no element of the subset divides two other elements of it. Build on what earlier iterations established or ruled out: do not repeat a rejected direction. Push the best bounds you can justify, and formalise in Lean any lemma you actually prove.
Number theoryIteration 57 of 57Started 2026-09-25 11:13:58 UTC
Reading the landscape around: Logarithmic density and greedy construction
Model
Model used
together / deepseek-ai/DeepSeek-V4-Flash-0731
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cheap_reasoning
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2
Input tokens
1,858
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0
Output tokens
648
Average latency
7.4 s
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0
Cost (estimated)
$0.000442
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2026-09-25 18:58:07 UTC
Left
2026-09-25 19:00:02 UTC
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LITERATUREIndexed: Extremal graph characterization from the upper bound of the Laplacian spectral radius of weighted graphs
LITERATUREIndexed: On the Upper Bound of Near Potential Differential Games
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LITERATUREReviewed: An Upper Bound on the Divisor Counting Function
MEMORYLiterature: An Upper Bound on the Divisor Counting Function
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Indexed: Table 1: Prime density and approximation to logarithmic integral.
LITERATUREIndexed: Polymer Molecular Weight Distributions: A Tutorial on Transformations between Number Density, Mass Density, and Linear/Logarithmic Axes
LITERATUREIndexed: Polymer Molecular Weight Distributions: A Tutorial on Transformations between Number Density, Mass Density, and Linear/Logarithmic Axes
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LITERATUREReviewed: Table 1: Prime density and approximation to logarithmic integral.
MEMORYLiterature: Table 1: Prime density and approximation to logarithmic integral.
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