On sums over primes
Antal Balog (1985)
Banach Center Publications
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Antal Balog (1985)
Banach Center Publications
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Hongze Li (2001)
Acta Arithmetica
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L., Hua (1939)
Mathematische Zeitschrift
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Aleksandar Ivic (1979)
Mathematische Annalen
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Hongze Li (2007)
Acta Arithmetica
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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.
D. I. Tolev (2002)
Acta Arithmetica
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D. I. Tolev (2000)
Acta Arithmetica
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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.
M. C. Liu, T. Z. Wang (2002)
Acta Arithmetica
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Xiumin Ren (2006)
Acta Arithmetica
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Roger C. Baker, William D. Banks, Jörg Brüdern, Igor E. Shparlinski, Andreas J. Weingartner (2013)
Acta Arithmetica
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Imre Z. Ruzsa, Tom Sanders (2008)
Acta Arithmetica
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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,...
Zhixin Liu, Guangshi Lü (2010)
Acta Arithmetica
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Koichi Kawada (2005)
Acta Arithmetica
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Jianya Liu, Guangshi Lü (2004)
Acta Arithmetica
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Étienne Fouvry, Igor E. Shparlinski (2011)
Acta Arithmetica
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Jianya Liu, Tao Zhan (2001)
Acta Arithmetica
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Tao Liu (2004)
Acta Arithmetica
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