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Erdős problem 946

There are infinitely many nn such that τ(n)=τ(n+1)τ(n) = τ(n+1). Proved in [He84]. Here τ is the divisor counting function, which is σ 0 in mathlib.

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  2. WorkNo submitted work retained
  3. VerificationNo check retained
  4. DecisionNo Repository has decided
  5. StandingA Result stands here
  6. Next gapNot recorded

Result history

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:5f101eeba1c4c40a927d4d34743b5fbc67e30e4650e69bca0aa4f73af306d055
Metadata
sha256:2fb24b155d0dbf42481461a209a6c3bb4cb60e9e72bdb3ab5f9cb7e19bfe6158
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:17bb150a2fd20f089f2b1c9d721df7357220e28114872166f36cb0a2ae042ced
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb