
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:  1880370^{524288} + 1 
Verification status (*):  Proven 
Official Comment:  Generalized Fermat 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  L4201 : Brown1, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR 
Decimal Digits:  3289511 (log_{10} is 3289510.47845527) 
Rank (*):  25 (digit rank is 1) 
Entrance Rank (*):  22 
Currently on list? (*):  short 
Submitted:  1/15/2018 17:42:45 CDT 
Last modified:  1/26/2018 20:04:29 CDT 
Database id:  124143 
Status Flags:  TrialDiv 
Score (*):  50.2834 (normalized score 611.1632) 

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 218979, tag last modified 20180325 16:20:17)
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  124143 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/client/pfgw/pfgw64 t q"1880370^524288+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 1880370^524288+1 [N1, BrillhartLehmerSelfridge] Running N1 test using base 7 Calling BrillhartLehmerSelfridge with factored part 49.24%
1880370^524288+1 is prime! (356007.6261s+0.1319s) [Elapsed time: 4.12 days]

modified  20180126 20:04:29 
created  20180122 17:11:01 
id  169831 

field  value 
prime_id  124143 
person_id  9 
machine  External 
what  prime 
notes  cllr64 t4 d q"1880370^524288+1" Base factorized as : 2*3^2*5*17*1229 Base prime factor(s) taken : 17, 1229 Starting N1 prime test of 1880370^524288+1 Using generic reduction FMA3 FFT length 1120K, Pass1=448, Pass2=2560, 4 threads, a = 3 1880370^524288+1 may be prime, trying to compute gcd's 3^((N1)/1229)1 is coprime to N! 3^((N1)/17)1 is coprime to N! 1880370^524288+1 is prime! (3289511 decimal digits) Time : 74385.404 sec.
cllr64 v LLR Program  Version 3.8.20, using Gwnum Library Version 28.13 
modified  20180122 17:13:12 
created  20180115 17:43:01 
id  169806 

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