Maths Olympiad Prep

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Number theory Difficulty 4.7 AIME Find the answer Philippines

Problem:
Last January 7, 2016, a team from the University of Central Missouri headed by Curtis Cooper discovered the largest prime number known so far:
274,207,2811 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?

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

Solution

Solution:
Great Internet Mersenne Prime Search

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