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Erdős problem 233

A conjecture by Heath-Brown: The sum of squares of the first NN gaps between consecutive primes behaves like N∗(logN)2N * (log N)^2.

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FormalConjectures/ErdosProblems/

233.lean

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A conjecture by Heath-Brown: The sum of squares of the first NN gaps between consecutive primes behaves like N∗(logN)2N * (log N)^2.

FormalConjectures/ErdosProblems/233.leanErdos233.erdos_2331 lineExact file
(fun N => ∑ n ∈ Finset.range N, ↑(primeGap n) ^ 2) =O[Filter.atTop] fun N => ↑N * Real.log ↑N ^ 2
OpenStatement only, no proof