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An integer equation
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2019-01-05, 03:35
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CRGreathouse
Aug 2006
3
^{2}
×5×7×19 Posts
Quote:
Originally Posted by
enzocreti
Consider the equation
a*(2*a^2+2*b^2+c^2+1)=(2*a^3+2*b^3+c^3+1)
with a,b,c positive integers.
Are the only solutions to that equation a=1, b=1, c=1 and a=5, b=4 and c=6?
What about (a, b, c) = (26,4,27)?
CRGreathouse
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