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Erdős problem 208

In [Er79] Erdős says perhaps sn+1−sn≪log⁡sns_{n+1} - s_n \ll \log s_n, but he is 'very doubtful'.

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FormalConjectures/ErdosProblems/

208.lean

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In [Er79] Erdős says perhaps sn+1−sn≪log⁡sns_{n+1} - s_n \ll \log s_n, but he is 'very doubtful'.

[Er79] Erdős, Paul, __Some unconventional problems in number theory__. Math. Mag. (1979), 67-70.

FormalConjectures/ErdosProblems/208.leanErdos208.erdos_208.variants.log_bound2 linesExact file
(fun n => ↑(Erdos208.erdos208.s (n + 1)) - ↑(Erdos208.erdos208.s n)) =O[Filter.atTop] fun n =>  Real.log ↑(Erdos208.erdos208.s n)
OpenStatement only, no proof