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Erdős problem 299

Is there an infinite sequence a1<a2<…a_1 < a_2 < \dots such that ai+1−ai=O(1)a_{i+1} - a_i = O(1) and no finite sum of 1ai\frac{1}{a_i} is equal to 1?

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  1. Prior stateNone retained
  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
sha256:0bbae70bbbf53ad004527583bc4e2579acf96b5a81cd6fb311535469c222c219
Metadata
sha256:6073dcdda24ac607aecbe9b053d8e24f6f392855f5dc0bd7cd72473789f2ed77
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:434be67731e8b96a03dd53a900a6e1d94e3a800538266a0a28d17968dd2a6867
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb