Suppose, I know m1, m2, m3 and P1, P2, P3 of the following equations. Here P1, P2, P3 are prime numbers.
X mod P1 = m1
X mod P2 = m2
X mod P3 = m3
Now, for another prime number P4,
I need to find, X mod P4 = ?
Using Chinese Remainder Theorem I can calculate this if P4 is not a prime and is equal to (P1xP2xP3).
How can I solve this problem for any prime P4?