MathDB
2011 PUMaC Number Theory A6

Source:

September 24, 2019
number theory

Problem Statement

Let aa and bb be positive integers such that a+bz=x3+y4a + bz = x^3 + y^4 has no solutions for any integers x,y,zx, y, z, with bb as small as possible, and aa as small as possible for the minimum bb. Find abab.
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