Unexpectedly Intriguing!
25 April 2025

Longtime readers know we occasionally dabble in prime numbers and sometimes also history. That's why this super short Numberphile video leapt out at us in our YouTube feed, because it combines the two.

In the video, Brady Haran tracks down a copy of Marin Mersenne's 1644 book Cogitata Physico-Mathematica at the Royal Society, in which he listed the prime numbers associated with the formula 2n - 1, which have since become synonymous with his name. But, as Brady quickly identifies, Mersenne made a couple of mistakes in his published list. Here's the video:

If you would like to read Mersenne's book in the original Latin (or would like to read an English translation of it, Luke Welsh has got you covered!

Almost four centuries later, we know of just 52 Mersenne primes. When and where do you suppose they'll discover the next one?

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Welcome to the blogosphere's toolchest! Here, unlike other blogs dedicated to analyzing current events, we create easy-to-use, simple tools to do the math related to them so you can get in on the action too! If you would like to learn more about these tools, or if you would like to contribute ideas to develop for this blog, please e-mail us at:

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