[CRGreathouse]

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)?