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Erdős problem 302

Let f(N)f(N) be the size of the largest A⊆{1,…,N}A\subseteq \{1,\ldots,N\} such that there are no solutions to 1a=1b+1c\frac{1}{a}= \frac{1}{b}+\frac{1}{c} with distinct a,b,c∈Aa,b,c\in A? Estimate f(N)f(N).

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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
sha256:997de4de06fb30d64177017aa6aef8a4b1adc9aeb90743ce873c6d4f11741966
Metadata
sha256:e926c09966610beaf3e0dca98ed414089e03b4c95a22430471b1c3a11c7fc248
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:cc8dcebf5a13fd16090e803bc4cc63d6422971b584e70535e5cfb7ec062fcb6f
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb