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The largest known prime number (as of January 2020) is 282,589,933− 1, a number which has 24,862,048 digits when written in base 10. It was found by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.

The fastest prime number array finding algorithm is Sieve of Atkin . It was created in 2003 by A. O. L. Atkin and Daniel J. Bernstein.

The fastest primality checker algorithm is Miller-Robin's Algorithm . It was first discovered by Russian mathematician M. M. Artjuhov in 1967. Gary L. Miller rediscovered it in 1976.

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