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On the sum of a prime and a square-free number with divisibility conditions

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Publication:6184615
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DOI10.1016/j.jnt.2023.10.002arXiv2109.11883OpenAlexW3204203809MaRDI QIDQ6184615

Daniel R. Johnston, Shehzad Hathi

Publication date: 25 January 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.11883


zbMATH Keywords

additive number theoryGoldbach-type problems


Mathematics Subject Classification ID

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




Cites Work

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  • Explicit bounds for primes in arithmetic progressions
  • On the sum of a prime and a square-free number
  • On the representation of a large integer as the sum of a prime and a square-free number with at most three prime divisors
  • Evaluation of Artin's Constant and the Twin-Prime Constant
  • The large sieve
  • On the Representations of a Number as the Sum of a Prime and a Quadratfrei Number
  • Sharper bounds for the Chebyshev function 𝜃(𝑥)
  • Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸


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