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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

Retained formal statement1 of 3

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 => ∑ nFinset.range N, ↑(primeGap n) ^ 2) =O[Filter.atTop] fun N => ↑N * Real.logN ^ 2
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