Singular Manual: MillerRabin

| #### D.12.2.18 MillerRabin Procedure from library `crypto.lib` (see crypto_lib). Usage: MillerRabin(n,k); Return: 1 if n is prime, 0 else Note: probabilistic test of Miller-Rabin with k loops to test if n is prime. Using the theorem: If n is prime, n-1=2^s*r, r odd, then powerN(a,r,n)=1 or powerN(a,r*2^i,n)=-1 for some i Example:
    LIB "crypto.lib";
    bigint x=2;
    x=x^787-1;
    MillerRabin(x,3);
    ==> 0

User manual for Singular version 4.3.1p1, 2022, generated by texi2html.