Question

\[\text{when is this an interger } \frac{2^n+1}{n^2},\text{for all positive intergers }n > 1\]

Answer 1

so i should make sure \[2^n+1|n^2\] ie \[2^n\equiv-1\mod n^2 \]

Answer 2

when n=1

Answer 3

wait the condition is n>1,sry let me update that