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Old 2008-04-30, 22:52   #1
philmoore's Avatar
Sep 2002
Tracktown, U.S.A.

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Default Diophantine problem

This problem was posed in the April 2008 issue of The American Mathematical Monthly by Jeffrey Lagarias, U. of Michigan:

Determine for which integers a the Diophantine equation
has infinitely many integer solutions (x,y,z) such that \gcd(a,xyz)=1.

I have not solved it, I have just found it interesting and suspect that others on this forum might find it interesting as well.
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