Very Large Gaps between Consecutive Prim
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JΓ‘nos Pintz
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Article
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1997
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Elsevier Science
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English
β 319 KB
Let G(X) denote the largest gap between consecutive primes below X. Improving earlier results of Erdo s, Rankin, Scho nhage, and Maier-Pomerance, we prove where log & X denotes the &-fold iterated logarithm function and # is Euler's constant. The new tool used is a combinatorial result proved by pr