- #1
Pythagorean12
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Homework Statement
Prove that 10^n + 1 cannot be expressed in the form a*a*c, where n,a,c are positive integers.
Homework Equations
By considering the reminder of 10^n + 1 when it is devided by 3, I arrived at the conclusion that:
a*a = 3z +1;
c = 3v + 2
for some positive integers z,v.
Here I am stuck, I have no idea how to proceed