New Mersenne prime

With impeccable timing, just in the middle of my series about primality testing, a new Mersenne prime has been announced, a little under two years after the previous one. In particular, it has been shown that 2^{77,232,917}-1 is prime; this is now the largest known prime number.

If you want to understand what computers are actually doing when they check a Mersenne number for primality, I wrote a whole series about it two years ago: visit this list of my post series and search for “Lucas-Lehmer”.

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About Brent

Assistant Professor of Computer Science at Hendrix College. Functional programmer, mathematician, teacher, pianist, follower of Jesus.
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