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**
*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** 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**) 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** team.
The prime was verified on 19 January 2018 17:24:17 UTC by Serge De Saffel (**lentosy**) 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.**
For more details, please see the **official announcement**. |