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math.NT2014
Augmented generalized happy functions
Breeanne Baker Swart, Kristen A. Beck, Susan Crook +4
An augmented happy function, maps a positive integer to the sum of the squares of its base- digits and a non-negative integer . A positive integer is in a cyc…
math.NT2014
On the Diophantine equation X^{2N} + 2^{2 alpha} 5^{2 beta} p^{2 gamma} = Z^5
Eva G. Goedhart, Helen G. Grundman
We prove that for each odd prime p, positive integer alpha, and non-negative integers beta and gamma, the Diophantine equation X^{2N} + 2^{2 alpha} 5^{2 beta} p^{2 gamma} = Z^5 has…