I'm having a hard time creating a functioning RSA algorithm for some reason even though I have all the steps right (or at least I think I do). So I have the following : I picked prime numbers, $p$ and $q$ as: $$p = 13691$$ $$q = 29387$$ I picked $n$ as $p \cdot q$ $$n = 402337417$$ So $$\phi(n) = 402294340$$ I picked a random $e$ between $1$ and $\phi(n)$ $e = 46117$ My message was $M=3$ I got $d$ by the Extended Euclidean Algorithm as the following: $d= 7795$ When I do the encryption using $M^e \,\text{mod}\, n$ I get: $c= 399797630$ When I do the decryption using $C^d \,\text{mod}\, n$, I get $243069037$, which is not $M = 3$? Any idea what can be the reason behind this? My guess is that $d$ is incorrect.