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And Durant's newly-discovered Mersenne prime, which according to GIMPS is over 16 million digits larger than the previous prime number record, took a hell of a lot of computing.

Twin primes are two prime numbers that have a distance of two on the number line; that is, they are directly consecutive if you ignore even numbers. Examples include 3 and 5, 5 and 7, and 17 and 19.

Large prime numbers are massively useful in cryptography, which is the study and use of codes. Let’s say you’re a hacker who wants to intercept secure messages from one government to another.