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> Just Math (2)> Science> Algorithms
Prove that

(2 + √2)(3 - 2√2)n + (2 - √2)(3 + 2√2)n

is an integer for every positive integer n.
(No Solution Yet, 1 Comments) Submitted on 2024-07-26 by Danish Ahmed Khan   
Consider the equation x^2+y^5=z^3 where x, y, and z, are positive integers.

(A) Can you give at least three solutions to it?
(B) Determine whether or not there is an infinite number of solutions.

(Solution Posted, 7 Comments) Submitted on 2006-09-15 by K Sengupta   
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