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Dec 9, 2018 at 18:02 comment added j.p. @forest: Nice observation! But if you can trust the running times given in this answer, I doubt that many will opt for ECPP unless a proof for primeness is strictly required.
Dec 8, 2018 at 5:30 comment added forest @j.p. A better algorithm than AKS would probably be ECPP, since it can generate a primality certificate that can be used to rapidly verify that the integer is prime, negating the risk of hardware errors.
Jul 30, 2016 at 15:53 comment added j.p. @Mok-KongShen: "Testing it for primality first via trial division by an appropriate set of small primes and then via the Miller-Rabin test for diverse values of t" is not really a fast way to find primes. Using a sieve and one Fermat test (to the base 2) for what remains in the sieve before applying the Miller-Rabin tests should be at least double as fast.
Jul 29, 2016 at 10:45 comment added Mok-Kong Shen @j.p.: I compared in Python Maurer's algorithm with that of Miller-Rabin and found that they are quite comparable for practical purposes. See s13.zetaboards.com/Crypto/topic/7234475/1/
Jul 29, 2016 at 8:21 comment added j.p. Hard to say, when this happens precisely. As the probabilistic algorithm runs faster than the deterministic one, it is less likely disturbed by cosmic rays.
Jul 29, 2016 at 0:05 comment added bkoodaa Wow, the failure rate of a probabilistic algorithm is lower than the failure rate of deterministic algorithm - because we're at the scale where calculations errors by hardware matter. Did I get that right?
Jul 19, 2011 at 14:45 vote accept Lukman
Jul 13, 2011 at 12:18 history answered j.p. CC BY-SA 3.0