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Largest known prime number : ウィキペディア英語版
Largest known prime number
, the largest known prime number is 257,885,161 − 1, a number with 17,425,170 digits. It was found in 2013 by the Great Internet Mersenne Prime Search (GIMPS).
Euclid proved that there is no largest prime number, so many mathematicians and hobbyists continue to search for large prime numbers.
Many of the largest known primes are Mersenne primes. the ten largest known primes are Mersenne primes, while the eleventh is the largest known non-Mersenne prime.〔Chris Caldwell, (The largest known primes ). Retrieved on 2013-02-05.〕 The last 15 record primes were Mersenne primes.〔
The fast Fourier transform implementation of the Lucas–Lehmer primality test for Mersenne numbers is fast compared to other known primality tests for other kinds of numbers.
==The current record==

The record is currently held by 257,885,161 − 1 with 17,425,170 digits, discovered by the GIMPS in 2013.〔(【引用サイトリンク】title=GIMPS Project Discovers Largest Known Prime Number, 257,885,161-1 )〕 The value of it is
:5818872662322464421751002121132323686363708523254215893257817044
:... (17,425,042 digits omitted) ...
:6822494937745410942833323095203705645658725746141988071724285951
The first and last 64 digits are shown above.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Largest known prime number」の詳細全文を読む



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