Hi all, I have problem with the question: Find a multiplicative inverse of n in Z(n^2 -1) (or mod n^2 -1).

I think I can't use "Reverse the Euclidean algorithm" or matrices to find n^-1.

I would be thankful for your helping. Thanks a lot.

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- Mar 25th 2014, 09:07 PMmath88Multiplicative inverse of n
Hi all, I have problem with the question: Find a multiplicative inverse of n in Z(n^2 -1) (or mod n^2 -1).

I think I can't use "Reverse the Euclidean algorithm" or matrices to find n^-1.

I would be thankful for your helping. Thanks a lot. - Mar 25th 2014, 09:53 PMSlipEternalRe: Multiplicative inverse of n
Umm, $n^2 = (n^2-1)+1$ So, $n^{-1} \equiv n \pmod{n^2-1}$