On the sum of a prime and a square-free number

DOI10.1007/s11139-015-9736-2zbMath1427.11100arXiv1410.7459OpenAlexW1950677134MaRDI QIDQ2397079

Adrian W. Dudek

Publication date: 29 May 2017

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7459

zbMATH Keywords

square-freeadditive number theoryprime numberGoldbach

Mathematics Subject Classification ID

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

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Cites Work

• On the sum of a prime and a \(k\)-free number
• Evaluation of Artin's Constant and the Twin-Prime Constant
• The large sieve
• Primes in arithmetic progressions
• Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸
• The Number of Representations of an Integer as the Sum of a Prime and a k-Free Integer
• Unnamed Item
• Unnamed Item
• Unnamed Item

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