Chen's conjecture and its generalization

DOI10.1007/s11401-013-0798-4zbMath1292.11116OpenAlexW2049741031WikidataQ122938906 ScholiaQ122938906MaRDI QIDQ2448454

Xue-Gong Sun, Li-Xia Dai

Publication date: 30 April 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-013-0798-4

zbMATH Keywords

primespowers of 2Chen's conjectureSelberg's sieve method

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36)

Cites Work

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• On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture
• On integers of the forms \(k^r-2^n\) and \(k^r2^n+1\).
• On the density of integers of the form \(2^k + p\) in arithmetic progressions
• On the sum of a prime and of two powers of two
• Covers of the integers with odd moduli and their applications to the forms $x^{m}-2^{n}$ and $x^{2}-F_{3n}/2$
• EIGHT CONSECUTIVE POSITIVE ODD NUMBERS NONE OF WHICH CAN BE EXPRESSED AS A SUM OF TWO PRIME POWERS
• ON THE LARGEST PRIME FACTOR OF THE MERSENNE NUMBERS
• Not Every Number is the Sum or Difference of Two Prime Powers
• On the Equations z^m = F (x, y ) and Ax^p + By^q = Cz^r
• A REMARK ON PRIMALITY TESTING AND DECIMAL EXPANSIONS
• On the integers not of the form p+2^a+2^b

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