Variations on Euclid's formula for perfect numbers.
Firoozbakht, Farideh, Hasler, Maximilian F. (2010)
Journal of Integer Sequences [electronic only]
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Displaying similar documents to “On -imperfect numbers.”
Variations on Euclid's formula for perfect numbers.
A rationality condition for the existence of odd perfect numbers.
Davis, Simon (2003)
International Journal of Mathematics and Mathematical Sciences
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On pseudoprimes having special forms and a solution of K. Szymiczek’s problem
Andrzej Rotkiewicz (2005)
Acta Mathematica Universitatis Ostraviensis
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We use the properties of -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.
Composite positive integers with an average prime factor
Florian Luca, Francesco Pappalardi (2007)
Acta Arithmetica
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Generalizations of Midy's theorem on repeating decimals.
Martin, Harold W. (2007)
Integers
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Primes in classes of the iterated totient function.
Noe, Tony D. (2008)
Journal of Integer Sequences [electronic only]
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A note on two conjectures
Jiahai Kan (2004)
Acta Arithmetica
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On consecutive integer pairs with the same sum of distinct prime divisors.
Iannucci, Douglas E., Mintos, Alexia S. (2005)
Integers
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Representation numbers of stars.
Akhtar, Reza, Evans, Anthony B., Pritikin, Dan (2010)
Integers
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On and .
Chen, Yong-Gao, Fang, Jin-Hui (2008)
Integers
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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 the Properties of the Möbius Function
Magdalena Jastrzebska, Adam Grabowski (2006)
Formalized Mathematics
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We formalized some basic properties of the Möbius function which is defined classically as [...] as e.g., its multiplicativity. To enable smooth reasoning about the sum of this number-theoretic function, we introduced an underlying many-sorted set indexed by the set of natural numbers. Its elements are just values of the Möbius function.The second part of the paper is devoted to the notion of the radical of number, i.e. the product of its all prime factors.The formalization (which is...