On consecutive integer pairs with the same sum of distinct prime divisors.
Iannucci, Douglas E., Mintos, Alexia S. (2005)
Integers
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Displaying similar documents to “Product of integers in an interval, modulo squares.”
On consecutive integer pairs with the same sum of distinct prime divisors.
Elementary theory of numbers
Wacław Sierpiński
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On -imperfect numbers.
Zhou, Weiyi, Zhu, Long (2009)
Integers
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A natural prime-generating recurrence.
Rowland, Eric S. (2008)
Journal of Integer Sequences [electronic only]
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On and .
Chen, Yong-Gao, Fang, Jin-Hui (2008)
Integers
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Composite positive integers with an average prime factor
Florian Luca, Francesco Pappalardi (2007)
Acta Arithmetica
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On the unimodal character of the frequency function of the largest prime factor
Jean-Marie De Koninck, Jason Pierre Sweeney (2001)
Colloquium Mathematicae
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The main objective of this paper is to analyze the unimodal character of the frequency function of the largest prime factor. To do that, let P(n) stand for the largest prime factor of n. Then define f(x,p): = #{n ≤ x | P(n) = p}. If f(x,p) is considered as a function of p, for 2 ≤ p ≤ x, the primes in the interval [2,x] belong to three intervals I₁(x) = [2,v(x)], I₂(x) = ]v(x),w(x)[ and I₃(x) = [w(x),x], with v(x) < w(x), such that f(x,p) increases for p ∈ I₁(x), reaches its maximum...
Primes in classes of the iterated totient function.
Noe, Tony D. (2008)
Journal of Integer Sequences [electronic only]
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Representation numbers of stars.
Akhtar, Reza, Evans, Anthony B., Pritikin, Dan (2010)
Integers
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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.
The EKG sequence.
Lagarias, J.C., Rains, E.M., Sloane, N.J.A. (2002)
Experimental Mathematics
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