On integers \(2(p+ia)\) not of the form \(a^k+\varphi (m)\)

DOI10.1007/s10474-015-0524-7zbMath1374.11010OpenAlexW2465622566MaRDI QIDQ519982

Yong-Cai Geng, Sumit K. Garg

Publication date: 31 March 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-015-0524-7

zbMATH Keywords

primeSelberg's sieve methodpower of \(a\)the Euler totient function

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36) Arithmetic functions; related numbers; inversion formulas (11A25) Arithmetic progressions (11B25)

Cites Work

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• Some remarks on Sierpiński numbers and related problems
• On the sum of a prime and of two powers of two
• Values of the Euler function in various sequences
• Integers not of the form c(2^a+2^b)+p^α
• EIGHT CONSECUTIVE POSITIVE ODD NUMBERS NONE OF WHICH CAN BE EXPRESSED AS A SUM OF TWO PRIME POWERS
• On the number of distinct values of Euler's φ-function
• Integers not of the form c(2^a+2^b)+p^α
• A REMARK ON PRIMALITY TESTING AND DECIMAL EXPANSIONS
• On the integers not of the form p+2^a+2^b

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