Talk:Miller–Rabin primality test

C#

The code for method RabinMiller.IsPrime(int n, int k) returns incorrect results. For example, RabinMiller.IsPrime(181, 10) returns false even though 181 is prime. I believe the incorrect value is returned because the line

<lang C#> int mod = (int)Math.Pow(a, (double)temp) % n; </lang>

overflows.

Erlang

The task asks for a function with arguments n and k. N is an odd integer, k is a parameter (also integer?). It seems to me that there is no such function in the Erlang module. I could be wrong since the module exports all its functions making it more difficult to be sure.

Python

This task can also be handled by the NZMATH modules prime and arith1 to enable its millerRabin function.--Billymac00 02:32, 3 January 2011 (UTC)

Testing Composite Probability

In addition to finding primes it is interesting to determine how often the algorithm returns composites as prime, see here. Using Ruby's miller_rabin_prime? as follows:

<lang ruby> v = (1..times).find_all { |i| miller_rabin_prime?(n,g)} puts v.length </lang>

with n=703 (19 * 37) and g=1 for times=10,000 returned 2242 false trues, which compares well with the 2286 which may be expected from. Increasing g to 5 reduced the number of false trues to 7. Increasing g to 10 reduced the number of false trues to 0 even when times was increased to 100000. Increasing times to 1000000 only returned 1 false true. Obviously these results will vary for each trial.--Nigel Galloway 13:47, 30 December 2012 (UTC)