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→How many prime numbers: Facts about largest known prime
<math>\sum_{p\le x}p^{-1}\approx\log\log x</math>
<math>\sum_{p\le x}p^{-1}\approx\log\log x</math>
The largest known prime is ''2<sup>57885161</sup>-1''; it was discovered in 2013 by Curtis Cooper with the '''Great Internet Mersenne Prime Search''' ('''GIMPS''')<ref>http://www.mersenne.org/</ref>, a distributed computing project launched by George Woltman in early 1996.<ref>Multiple references:
The largest known prime is ''2<sup>57,885,161</sup>-1'', a 17,425,169 digit number beginning with 581,887,266,232... and ending with ...951; it was discovered in 2013 by Curtis Cooper with the '''Great Internet Mersenne Prime Search''' ('''GIMPS''')<ref>http://www.mersenne.org/</ref>, a distributed computing project launched by George Woltman in early 1996.<ref>Multiple references:
* http://primes.utm.edu/largest.html
* http://primes.utm.edu/largest.html
* The number two raised to successively larger powers cause the last three digits to fairly quickly begin repeating themselves in cycles of one hundred, so it is known that the last digits of this Mersenne prime end with ...951.</ref>
* The number two raised to successively larger powers cause the last three digits to fairly quickly begin repeating themselves in cycles of one hundred, so it is known that the last digits of this Mersenne prime end with ...951.</ref>