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)
Mathematische Annalen
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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.
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)
Mathematische Zeitschrift
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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.
Melvin Hochster (1973)
Mathematische Zeitschrift
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Hongze Li (2007)
Acta Arithmetica
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K.S. Rao (1935)
Mathematische Zeitschrift
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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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