Australian Mathematical Sciences Institute

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20032026

most citedMagnetic White Dwarfs

359 citations

Showing 2016 · math.NTShow all

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math.NT2016

On integer solutions to x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n

Geoffrey B Campbell, Aleksander Zujev

We give an infinite number of integer solutions to the Diophantine equation x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n, and some solutions to some similar equations.

math.NT2016

On the least square-free primitive root modulo $p$

Stephen D. Cohen, Tim Trudgian

Let $g^{□} (p)$ denote the least square-free primitive root modulo $p$ . We show that $g^{□} (p) < p^{0.96}$ for all $p$ .

On integer solutions to x^5 - (x+1)^5 -(x+2)^5 +(x+3)^5 = 5^m + 5^n

On the least square-free primitive root modulo p

On the least square-free primitive root modulo $p$