
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:  2788032^{524288} + 1 
Verification status (*):  Proven 
Official Comment:  Generalized Fermat 
Unofficial Comments:  This prime has 2 user comments below. 
Proofcode(s): (*):  L4584 : Goforth, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR 
Decimal Digits:  3379193 (log_{10} is 3379192.26891521) 
Rank (*):  26 (digit rank is 1) 
Entrance Rank (*):  26 
Currently on list? (*):  short 
Submitted:  4/18/2019 07:32:29 CDT 
Last modified:  4/22/2019 13:12:27 CDT 
Database id:  126397 
Status Flags:  TrialDiv 
Score (*):  50.3657 (normalized score 577.302) 

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.
 Generalized Fermat (archivable *)
 Prime on list: yes, rank 3
Subcategory: "Generalized Fermat"
(archival tag id 220221, tag last modified 20190418 08:20:02)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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  126397 
person_id  9 
machine  Using: Xeon (pool) 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/clientpool/1/pfgw64 t q"2788032^524288+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 2788032^524288+1 [N1, BrillhartLehmerSelfridge] Running N1 test using base 5 Calling BrillhartLehmerSelfridge with factored part 47.29%
2788032^524288+1 is prime! (365965.4203s+0.0385s) [Elapsed time: 4.24 days]

modified  20190422 13:12:27 
created  20190418 07:33:02 
id  172080 

Query times: 0.0004 seconds to select prime, 0.0015 seconds to seek comments.
