1880370524288 + 1
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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:1880370524288 + 1
Verification status (*):Proven
Official Comment:Generalized Fermat
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4201 : Brown1, GFNSvCUDA, GeneFer, AthGFNSieve, PrimeGrid, LLR
Decimal Digits:3289511   (log10 is 3289510.47845527)
Rank (*):22 (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 646.4631)

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 2
Subcategory: "Generalized Fermat"
(archival tag id 218979, tag last modified 2018-01-22 17:20:27)

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.

PrimeGrid writes (24 Jan 2018): 
For more details, please see the official announcement.

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"1880370^524288+1" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 1880370^524288+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Calling Brillhart-Lehmer-Selfridge with factored part 49.24%

1880370^524288+1 is prime! (356007.6261s+0.1319s)
[Elapsed time: 4.12 days]
modified2018-01-26 20:04:29
created2018-01-22 17:11:01

notescllr64 -t4 -d -q"1880370^524288+1"
Base factorized as : 2*3^2*5*17*1229
Base prime factor(s) taken : 17, 1229
Starting N-1 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^((N-1)/1229)-1 is coprime to N!
3^((N-1)/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
modified2018-01-22 17:13:12
created2018-01-15 17:43:01

Query times: 0.0002 seconds to select prime, 0.0001 seconds to seek comments.