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On sums of large differences between consecutive primes

✍ Scribed by Aleksandar Ivić


Publisher
Springer
Year
1979
Tongue
English
Weight
416 KB
Volume
241
Category
Article
ISSN
0025-5831

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Very Large Gaps between Consecutive Prim
✍ János Pintz 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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