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Erdős problem 218

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There are infinitely many indices nn such that the prime gap at nn is equal to the prime gap at n+1n+1. This is equivalent to the existence of infinitely many arithmetic progressions of length 33, see erdos_141.variants.infinite_three.

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  1. Prior stateNone retained
  2. WorkNo submitted work retained
  3. VerificationNo check retained
  4. DecisionNo Repository has decided
  5. StandingNothing recorded here
  6. Next gapNot recorded

Result history

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:1f0311d5a43608c8d249c617e2ea21d926286c73fe30a4db53f9408721173550
Metadata
sha256:f367c899b08e7ed0503692dffbe841dbc2d116cdf264481c7af13aa9431687fa
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:26f0511e690437a290a0ecf5fd2e4a71e484d66d25db3c9bed3f796e55217142
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
Upstream sourceInspect recordsSource JSON