I'm looking for a fast algorithm to generate primes larger than a random 4096 bit number $N$. I know about the Sieve of Atkin, but AFAIK it can only be used to find all primes up to a certain limit. At the moment I am using a combination of sieving out composites of small primes plus Miller-Rabin-Test. Probabilistic methods are OK - I just need to generate good candidates quickly...
2026-03-25 16:06:12.1774454772
Fast algorithm for generating consecutive primes larger than N
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