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: 1959021657705 · 21290000 - 1 Verification status (*): Proven Official Comment: Proof-code(s): (*): L927 : Brown1, TwinGen, PrimeGrid, LLR Decimal Digits: 388341   (log10 is 388340.98644577) Rank (*): 8174 (digit rank is 48) Entrance Rank (*): 2917 Currently on list? (*): no Submitted: 5/4/2015 09:25:59 CDT Last modified: 5/4/2015 09:50:33 CDT Removed (*): 8/29/2016 13:13:07 CDT Database id: 119861 Status Flags: TrialDiv Score (*): 43.7286 (normalized score 0.7796)

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 119861 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/llr.pl 1959021657705*2^1290000-1 2>&1 Starting Lucas Lehmer Riesel prime test of 1959021657705*2^1290000-1 Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 9 ; Computing U0... V1 = 9 ; Computing U0...done.Starting Lucas-Lehmer loop... 1959021657705*2^1290000-1 is prime! (388341 decimal digits) Time : 776.093 sec. [Elapsed time: 12.93 minutes] modified 2015-05-07 06:34:53 created 2015-05-04 09:31:02 id 165483