Free-DC
08-23-2017, 04:17 PM
On 21 August 2017, 14:51:43 UTC, PrimeGrid’s Generalized Cullen/Woodall Prime Search found the largest known generalized Cullen prime:1341174*53^1341174+1 (http://primes.utm.edu/primes/page.php?id=123862)Generalized Cullen numbers are of the form: n*b^n+1. Generalized Cullen numbers that are prime are called generalized Cullen primes. For more information, please see “Cullen prime” in The Prime Glossary (http://primes.utm.edu/glossary).The prime is 2,312,561 digits long and enters Chris Caldwell's The Largest Known Primes Database (http://primes.utm.edu/primes) ranked 1st for Generalized Cullen primes and 30th overall. The discovery was made by Hiroyuki Okazaki (zunewantan (http://www.primegrid.com/show_user.php?userid=277353)) of Japan using an Intel(R) CPU @ 2.90GHz with 16GB RAM, running Linux. This computer took about 12 hours and 39 minutes to complete the primality test using multithreaded LLR. Hiroyuki is a member of the Aggie The Pew (http://www.primegrid.com/team_display.php?teamid=2280) team.The prime was verified on 22 August 2017 17:24:17 UTC by user wuzzat (http://www.primegrid.com/show_user.php?userid=49472) of Australia using an Intel(R) Xeon(R) E5-2620 v3 CPU @ 2.40GHz with 256GB RAM, running Microsoft Windows Server 2008R2. This computer took about 31 hours 41 minutes to complete the primality test using LLR. Wuzzat is a member of the BOINC@AUSTRALIA (http://www.primegrid.com/team_display.php?teamid=25) team.For more details, please see the official announcement (http://www.primegrid.com/download/gc53-1341174.pdf).
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