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Mathematical findings

2 source-grounded records. Verification labels remain separate from source authentication and publication status.

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number-theoryMay 7, 2026Significance 12/100Registry: contested

Erdős Problem #7

Prior state unknownproved

Can there be a finite covering system of the integers with distinct moduli, all of which are odd and greater than $1$?

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review! Disputed
number-theoryJul 25, 2026Significance 10/100Registry: contested

Erdős Problem #684

Prior state unknownproved

For the least $k$ at which the small-prime part of $\binom{n}{k}$ exceeds $n^2$, how large can $f(n)$ be?

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review! Disputed