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Large Prime

The largest known prime number as of Oct. 2026 is the Mersenne prime 2^(136279841)-1, which has 41,024,320 decimal digits (GIMPS 2024).

In Sep. 2013, the largest known probable primes were the Wagstaff primes (2^(13347311)+1)/3 and (2^(13372531)+1)/3, both found by R. Propper in Sep. 2013 and which have 4017941 and 4025533 decimal digits, respectively. Other large known probable primes are the "dual Sierpinski numbers" k+2^n (Moore 2009) given by 2^(9092392)+40291 and 2^(5146295)+41693, which have 2737083 and 1549190 decimal digits, respectively.

A prime with at least 1000 decimal digits is (or used to be) known as a titanic prime.

See also

Gigantic Prime, Large Number, Mersenne Prime, Probable Prime, Sierpiński Number of the Second Kind, Titanic Prime, Wagstaff Prime

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References

GIMPS. "GIMPS Discovers Largest Known Prime Number: 2^(136,279,841)-1." Oct. 21, 2024. https://www.mersenne.org/primes/?press=M136279841.Lifchitz, H. and Lifchitz, R. "PRP Records: Probable Primes Top 10000." http://www.primenumbers.net/prptop/prptop.php.Moore, P. "Welcome to 'Five or Bust!' " Oct. 8, 2009. https://www.mersenneforum.org/node/7590.

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Large Prime

Cite this as:

Weisstein, Eric W. "Large Prime." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LargePrime.html

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