MathDB

6

Part of 2008 Mathcenter Contest

Problems(2)

x^5-y^2=4 diophantine

Source: Mathcenter Contest / Oly - Thai Forum 2008 R1 p6 https://artofproblemsolving.com/community/c3196914_mathcenter_contest

11/10/2022
Find the total number of integer solutions of the equation x5−y2=4x^5-y^2=4
(Erken)
number theoryDiophantine equationdiophantine
for even a, exist infinite n such that n|a^n+1

Source: Mathcenter Contest / Oly - Thai Forum 2008 R3 p6 https://artofproblemsolving.com/community/c3196914_mathcenter_contest

11/9/2022
For even positive integers a>1a>1. Prove that there are infinite positive integers nn that makes n∣an+1n | a^n+1.
(tomoyo-jung)
number theoryDivide