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Problem 868

AMC 12 late, AIME early

Number theory Difficulty 4.7 Find the answer PMO National Stage Oral Phase · Philippines

Last January 7, 2016, a team from the University of Central Missouri headed by Curtis Cooper discovered the largest prime number known so far:
$2^{74,207,281}-1$
which contains over 22.3 million digits. Curtis Cooper is part of a large collaborative project called GIMPS, where mathematicians use their computers to look for prime numbers of the form 1 less than a power of 2. What is the meaning of GIMPS?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Solution:
Great Internet Mersenne Prime Search

Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.