New maximal prime gaps and first occurrences

DOI10.1090/S0025-5718-99-01065-0zbMath0923.11018WikidataQ55919091 ScholiaQ55919091MaRDI QIDQ4240598

Thomas R. Nicely

Publication date: 28 April 1999

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

prime gapsmaximal gapsfirst occurrences

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to number theory (11-04) Primes (11A41) Primality (11Y11)

Related Items (12)

JUMPING CHAMPIONS AND GAPS BETWEEN CONSECUTIVE PRIMES ⋮ CYCLOTOMIC POLYNOMIALS WITH PRESCRIBED HEIGHT AND PRIME NUMBER THEORY ⋮ Large prime gaps and probabilistic models ⋮ Explicit estimates of some functions over primes ⋮ General lower bounds on maximal determinants of binary matrices ⋮ Finding prime pairs with particular gaps ⋮ The largest prime factor of Landau's function ⋮ Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸ ⋮ On a problem of Sierpiński. II ⋮ On an arithmetic function considered by Pillai ⋮ On the first occurrences of gaps between primes in a residue class ⋮ Short effective intervals containing primes

Cites Work

• Prime numbers and computer methods for factorization.
• First Occurrence Prime Gaps
• The First Occurrence of Certain Large Prime Gaps
• Seven consecutive primes in arithmetic progression
• Computing 𝜋(𝑥): the Meissel, Lehmer, Lagarias, Miller, Odlyzko method
• Laguerre's Method Applied to the Matrix Eigenvalue Problem
• On First Appearance of Prime Differences
• The First Occurrence of Large Gaps Between Successive Primes
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