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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Hongze Li (2001)
Acta Arithmetica
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Antal Balog (1985)
Banach Center Publications
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William D. Banks, Ahmet M. Güloğlu, C. Wesley Nevans (2007)
Acta Arithmetica
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Aleksandar Ivic (1979)
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Liqun Hu, Li Yang (2017)
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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.
J.C.E. Dekker, J. Myhill (1960)
Mathematische Zeitschrift
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Tao Liu (2004)
Acta Arithmetica
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I. Chowla (1936)
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Melvin Hochster (1973)
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Hongze Li (2007)
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K.S. Rao (1936)
Mathematische Zeitschrift
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Zhixin Liu, Guangshi Lü (2010)
Acta Arithmetica
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R.C. Baker, G. Harman (1996)
Mathematische Zeitschrift
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David M. Goldschmidt (1970)
Mathematische Zeitschrift
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Rafał Ziobro (2016)
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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,...
D. I. Tolev (2002)
Acta Arithmetica
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