On consecutive integer pairs with the same sum of distinct prime divisors.
Iannucci, Douglas E., Mintos, Alexia S. (2005)
Integers
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Iannucci, Douglas E., Mintos, Alexia S. (2005)
Integers
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Filip, Ferdinánd, Liptai, Kálmán, Tóth, János (2006)
Annales Mathematicae et Informaticae
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Stuart Clary, Jacek Fabrykowski (2004)
Czechoslovak Mathematical Journal
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In this paper we establish the distribution of prime numbers in a given arithmetic progression for which is squarefree.
Shanta Laishram, T. N. Shorey (2005)
Acta Arithmetica
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Christian Ballot, Florian Luca (2013)
Acta Arithmetica
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Romanoff (1934) showed that integers that are the sum of a prime and a power of 2 have positive lower asymptotic density in the positive integers. We adapt his method by showing more generally the existence of a positive lower asymptotic density for integers that are the sum of a prime and a term of a given nonconstant nondegenerate integral linear recurrence with separable characteristic polynomial.
Lawrence Somer (2004)
Mathematica Slovaca
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E. Scourfield (1980)
Acta Arithmetica
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