At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help) value Description: 12798893253345 · 2666666 - 1 Verification status (*): Proven Official Comment: Proof-code(s): (*): L927 : Brown1, TwinGen, PrimeGrid, LLR Decimal Digits: 200700   (log10 is 200699.57026174) Rank (*): 24944 (digit rank is 1495) Entrance Rank (*): 2793 Currently on list? (*): no Submitted: 1/30/2011 22:17:41 CDT Last modified: 1/30/2011 22:50:44 CDT Removed (*): 8/24/2011 08:51:47 CDT Database id: 97873 Status Flags: none Score (*): 41.699 (normalized score 0.1039)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.

field value prime_id 97873 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 12798893253345 2 666666 -1 2>&1 [Elapsed time: 10.222 seconds] modified 2011-12-27 16:48:35 created 2011-01-30 22:18:01 id 125135

field value prime_id 97873 person_id 9 machine RedHat Virtual STEM Server what prime notes Command: /home/caldwell/client/llr.pl 12798893253345*2^666666-1 2>&1 Starting Lucas Lehmer Riesel prime test of 12798893253345*2^666666-1 Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 81920 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop... 12798893253345*2^666666-1 is prime! Time : 914.796 sec. [Elapsed time: 15.25 minutes] modified 2011-03-25 10:27:31 created 2011-01-30 22:21:03 id 125136