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*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 mod n I get: c= 399797630
When I do the decryption using C^d mod n , I get 243069037, which is not M = 3?
Any idea what can be the reason behind this?