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enzocreti · 2019-01-04, 23:38

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?

2019-01-04, 23:38	#1
enzocreti Mar 2018 17·31 Posts	An integer equation Consider the equation a(2a^2+2b^2+c^2+1)=(2a^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?