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The prime number, also known as M74207281, is calculated by multiplying together 74,207,281 twos then subtracting one.
It has 22,338,618 digits -- almost 5 million digits longer than the previous record prime number.
Finally, Serge Batalov ran Ernst Mayer's MLucas software on a 18-core server to verify the prime. Cooper is a professor at the University of Central Missouri. The primality proof took a month of computing on a PC with an Intel I7-4790 CPU. Cooper and the University of Central Missouri is the largest contributor of CPU time to the GIMPS project.
The discovery is eligible for a ,000 GIMPS research discovery award. Cooper's computer found the record prime, the discovery would not have been possible without all the GIMPS volunteers that sifted through numerous non-prime candidates.
Prime95 has also discovered hardware problems in many individual's PCs.
To prove there were no errors in the prime discovery process, the prime was independently verified using both different programs and different hardware.
Thanks to all the GIMPS members that contributed their resources towards achieving this milestone.
Earlier this month, GIMPS' prime95 software and members of a German computing community uncovered a flaw in Intel's latest Skylake CPUs.
GIMPS founder George Woltman, Prime Net creator Scott Kurowski, Primenet administrator Aaron Blosser, thank and congratulate all the GIMPS members that made this discovery possible.
To recognize all those that contributed to this discovery, official credit goes to Cooper, Woltman, Kurowski, Blosser, et al.
You'll need a reasonably modern PC and the free software at — In 2008, M(37156667) was discovered, and after 8 years GIMPS has finished checking and double-checking every smaller Mersenne number.
With no new, smaller primes found, M(37156667) is officially the "45th Mersenne prime".