Displaying similar documents to “Corrigendum to the paper 'Additive problems with prime numbers of special type' (Acta Arith. 96 (2000), 53-88)”

An Invitation to Additive Prime Number Theory

Kumchev, A., Tolev, D. (2005)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 11D75, 11D85, 11L20, 11N05, 11N35, 11N36, 11P05, 11P32, 11P55. The main purpose of this survey is to introduce the inexperienced reader to additive prime number theory and some related branches of analytic number theory. We state the main problems in the field, sketch their history and the basic machinery used to study them, and try to give a representative sample of the directions of current research.

Prime Factorization of Sums and Differences of Two Like Powers

Rafał Ziobro (2016)

Formalized Mathematics

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Representation of a non zero integer as a signed product of primes is unique similarly to its representations in various types of positional notations [4], [3]. The study focuses on counting the prime factors of integers in the form of sums or differences of two equal powers (thus being represented by 1 and a series of zeroes in respective digital bases). Although the introduced theorems are not particularly important, they provide a couple of shortcuts useful for integer factorization,...

On pairs of equations in unlike powers of primes and powers of 2

Liqun Hu, Li Yang (2017)

Open Mathematics

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In this paper, we obtained that when k = 455, every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of unlike powers of primes and k powers of 2.