Mersenne prime

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What Wikipedia says

In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer n. They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th century. If n is a composite number then so is 2n − 1.

Excerpt from the Wikipedia article “Mersenne prime”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: http://www.york.ac.uk/depts/maths/histstat/people/ Abb.4 from H Loeffel, Blaise Pascal, Basel: Birkhäuser 1987. DSB 9, 316-322., Public domain, via Wikimedia Commons.