PrimeGrid: GFN-262144 Mega Prime!

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On 27 January 2018, 20:06:08 UTC, PrimeGrid’s Generalized Fermat Prime Search found the Generalized Fermat mega prime: 3933508^262144+1 (http://primes.utm.edu/primes/page.php?id=124190) The prime is 1,728,783 digits long and enters Chris Caldwell's The Largest Known Primes Database (http://primes.utm.edu/primes) ranked 7th for Generalized Fermat primes and 57th overall. The discovery was made by Alen Kecic (freezing (https://www.primegrid.com/show_user.php?userid=291144)) of Germany using an NVIDIA GeForce GTX 1060 in an Intel(R) Core(TM) i7-7820X CPU at 3.60GHz with 32GB RAM, running Windows 10 Professional Edition. This GPU took about 26 minutes to probable prime (PRP) test with GeneferOCL3. Alen is a member of the SETI.Germany (http://www.primegrid.com/team_display.php?teamid=11) team. The prime was verified on 29 January 2018, 20:09:57 by Arne Sielemann ([SG-FC] dingdong (https://www.primegrid.com/show_user.php?userid=15259)) of Germany using an AMD R9 290/HD 7900 (Tahiti) series GPU in an Intel(R) Core(TM) i7-3770K CPU at 3.50GHz with 16GB RAM, running Windows 10 Core Edition. This GPU took about 56 minutes to probable prime (PRP) test with GeneferOCL5. Arne is a member of the SETI.Germany (http://www.primegrid.com/team_display.php?teamid=11) team. The PRP was confirmed prime by an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Microsoft Windows 10 Professional. This computer took about 4 hours 33 minutes to complete the primality test using LLR. For more details please see the official announcement (http://www.primegrid.com/download/GFN-3933508_262144.pdf).

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