Improved Bounds on Brun’s Constant

DOI10.1007/978-3-030-36568-4_25zbMath1437.11137arXiv1803.01925OpenAlexW3013125428MaRDI QIDQ3298041

Dave Platt, Tim Trudgian

Publication date: 21 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01925

zbMATH Keywords

Brun's constant

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Distribution of primes (11N05) Sieves (11N35)

Related Items (5)

Tight upper and lower bounds for the reciprocal sum of Proth primes ⋮ The reciprocal sum of the amicable numbers ⋮ Unnamed Item ⋮ Two explicit divisor sums ⋮ Unnamed Item

Uses Software

• Arb

Cites Work

• Unnamed Item
• Unnamed Item
• Sur une inégalité de Montgomery-Vaughan
• On sums of primes
• Montgomery's weighted sieve for dimension two
• Approximate formulas for some functions of prime numbers
• The large sieve
• Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
• Hilbert's Inequality
• Explicit upper bounds for the remainder term in the divisor problem

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