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: 2145 · 21099064 + 1 Verification status (*): Proven Official Comment: Divides Fermat F(1099061) Proof-code(s): (*): L1792 : Tang, PSieve, Srsieve, PrimeGrid, LLR Decimal Digits: 330855   (log10 is 330854.56258173) Rank (*): 13298 (digit rank is 1) Entrance Rank (*): 2573 Currently on list? (*): short Submitted: 6/21/2013 06:37:07 CDT Last modified: 6/21/2013 08:50:44 CDT Database id: 114458 Status Flags: none Score (*): 43.2363 (normalized score 0.4374)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.

Fermat Divisors (archivable *)

Prime on list: yes, rank 12, weight 50.9071989390103
Subcategory: "Divides Fermat"
(archival tag id 217188, tag last modified 2016-03-15 13:57:14)

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 114458 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 2145 2 1099064 1 2>&1 [Elapsed time: 9.704 seconds] modified 2013-08-16 09:44:46 created 2013-06-21 06:48:01 id 159293

field value prime_id 114458 person_id 9 machine Ditto P4 P4 what prime notes Command: /home/ditto/client/pfgw -t -q"2145*2^1099064+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 2145*2^1099064+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2145*2^1099064+1 is prime! (2932.9243s+0.0010s) [Elapsed time: 48.88 minutes] modified 2013-08-16 09:44:46 created 2013-06-21 07:28:16 id 159295