# Unusually Large Gaps between Consecutive Primes

@inproceedings{Maier1981UnusuallyLG, title={Unusually Large Gaps between Consecutive Primes}, author={Helmut Maier and Carl Pomerance}, year={1981} }

- Published 1981

Let G(x) denote the largest gap between consecutive grimes below x, In a series of papers from 1935 to 1963, Erdos, Rankin, and Schonhage showed that G(x) :::: (c + o( I)) logx loglogx log log log 10gx(loglog logx) -2, where c = eY and y is Euler's constant. Here, this result is shown with c = coeY where Co = 1.31256... is the solution of the equation 4/ Co e -4/co = 3 . The principal new tool used is a result of independent interest, namely, a mean value theorem for generalized twin primesâ€¦Â CONTINUE READING

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## Dense Admissible Sets

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## Long Gaps between Primes

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## Large Gaps between Consecutive Prime Numbers

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## Computation of Jacobsthal's function h(n) for n<50

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## Landauâ€™s Problems on Primes

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## Using Bonse â€™ s Inequality to Find Upper Bounds on Prime Gaps

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## The State Complexity of Alternating Automata

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## Chains of Large Gaps between Primes

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