Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Tao Liu (2004)
Acta Arithmetica
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Displaying similar documents to “Prime Factorization of Sums and Differences of Two Like Powers”
Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Hongze Li (2007)
Acta Arithmetica
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The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes (II)
Hongze Li (2001)
Acta Arithmetica
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Corrigendum to the paper "Additive problems with prime numbers of special type" (Acta Arith. 96 (2000), 53-88)
D. I. Tolev (2002)
Acta Arithmetica
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Additive problems with prime numbers of special type
D. I. Tolev (2000)
Acta Arithmetica
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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.
Subset sums modulo a prime
Hoi H. Nguyen, Endre Szemerédi, Van H. Vu (2008)
Acta Arithmetica
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Representations of integers as sums of primes from a Beatty sequence
William D. Banks, Ahmet M. Güloğlu, C. Wesley Nevans (2007)
Acta Arithmetica
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On a problem of Sierpiński
Yong-Gao Chen (2012)
Acta Arithmetica
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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.
Sums of nonnegative multiplicative functions over integers without large prime factors II
Joung Min Song (2002)
Acta Arithmetica
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On the representation of numbers as the sums.of the powers of primes
L., Hua (1939)
Mathematische Zeitschrift
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A remark on Chen's theorem
Yingchun Cai (2002)
Acta Arithmetica
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On Sums Involving Reciprocials Of Certain Arithmetical Functions
Paul Erdös, Aleksandar Ivić (1982)
Publications de l'Institut Mathématique
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Sums of one prime and two prime squares
Hongze Li (2008)
Acta Arithmetica
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Prime and composite terms in Sloane's sequence A056542.
Müller, Tom (2005)
Journal of Integer Sequences [electronic only]
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On pairs of Goldbach-Linnik equations with unequal powers of primes
Enxun Huang (2023)
Czechoslovak Mathematical Journal
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It is proved that every pair of sufficiently large odd integers can be represented by a pair of equations, each containing two squares of primes, two cubes of primes, two fourth powers of primes and 105 powers of 2.