number-theory / Number Theory, Integer Sequences

Erdős Problem #424

Proves positive lower density. The Formal Conjectures encoding asks for Set.HasPosDensity, a density that exists and is positive; erdosproblems.com says Erdos most likely meant lower density.

13Significance / 100
1Frontier events
0Verification tasks
0Recorded attempts

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No reconciled state yet.

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number-theoryJul 20, 2026Significance 13/100Registry: lean verified

Erdős Problem #424

Prior state unknown→proved

Proves positive lower density. The Formal Conjectures encoding asks for Set.HasPosDensity, a density that exists and is positive; erdosproblems.com says Erdos most likely meant lower density.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

Research memory

Claims and attempts

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Source authenticated

Proves positive lower density. The Formal Conjectures encoding asks for Set.HasPosDensity, a density that exists and is positive; erdosproblems.com says Erdos most likely meant lower density.

Proves positive lower density. The Formal Conjectures encoding asks for Set.HasPosDensity, a density that exists and is positive; erdosproblems.com says Erdos most likely meant lower density.

Recorded attempts

Evidence graph

Connected research record

Erdős Problem #424 — Mathematical Frontier Network