PrimeGrid World Record Generalized Cullen Prime!

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On 18 January 2018, 19:39:18 UTC, PrimeGrid’s Generalized Cullen/Woodall Prime Search found the largest known Generalized Cullen prime:1323365*116^1323365+1 (http://primes.utm.edu/primes/page.php?id=124153)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/xpage/Cullens.html).The prime is 2,732,038 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. Base 116 was one of 13 prime-less Generalized Cullen bases below b=121 that PrimeGrid is searching. The remaining bases are 13, 25, 29, 41, 47, 49, 55, 69, 73, 101, 109 & 121. The discovery was made by Scott Brown (Scott Brown (https://www.primegrid.com/show_user.php?userid=1178)) of the United States using an Intel(R) Core(TM) i7-4770S CPU @ 3.10GHz with 4GB RAM, running Windows 10 Enterprise Edition. This computer took about 8 hours and 34 minutes to complete the primality test using multithreaded LLR. Scott is a member of the Aggie The Pew (http://www.primegrid.com/team_display.php?teamid=2280) team.The prime was verified on 19 January 2018 17:24:17 UTC by Serge De Saffel (lentosy (https://www.primegrid.com/show_user.php?userid=928865)) of Belgium using an Intel(R) Core(TM) i5-6600K CPU @ 3.50GHz with 16GB RAM, running Windows 10 Education Edition. This computer took about 15 hours 22 minutes to complete the primality test using LLR. Serge is a member of the team Sicituradastra. (http://www.primegrid.com/team_display.php?teamid=1596)For more details, please see the official announcement (http://www.primegrid.com/download/gc116-1323365.pdf).

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