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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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Problem row
sha256:997de4de06fb30d64177017aa6aef8a4b1adc9aeb90743ce873c6d4f11741966
Metadata
sha256:e926c09966610beaf3e0dca98ed414089e03b4c95a22430471b1c3a11c7fc248
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:cc8dcebf5a13fd16090e803bc4cc63d6422971b584e70535e5cfb7ec062fcb6f
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207
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