trureturingGitHub MATHEMATICAL ATLAS

Factorization / CONCEPT

Factor-Density and Highly Composite Counterexample

A finite exponent-profile certificate and an exact power inequality refute the expanded factor-density coincidence claim at 73329656400.

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DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
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THEOREM

Prime factorization of the counterexample candidate

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Factor-Density and Highly Composite CounterexampleFactor-Density and HighlyComposite CounterexampleThe OEIS A343502 Divisor-Count Prime ConjectureThe OEIS A343502 Divisor-CountPrime Conjecture
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Factorization
Node ID
D5/S3/Factorization/FactorDensityHighlyCompositeCounterexample
Repository path
D5/S3/Factorization/FactorDensityHighlyCompositeCounterexample.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.