194368 · 52638045 - 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:194368 · 52638045 - 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L690 : Cholt, Srsieve, PrimeGrid, LLR
Decimal Digits:1843920   (log10 is 1843919.61371338)
Rank (*):76 (digit rank is 1)
Entrance Rank (*):60
Currently on list? (*):short
Submitted:8/15/2018 06:10:17 CDT
Last modified:8/16/2018 14:50:19 CDT
Database id:125549
Status Flags:TrialDiv
Score (*):48.5096 (normalized score 86.191)

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 (22 Aug 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 -tp -q"194368*5^2638045-1" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 194368*5^2638045-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 1+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%

194368*5^2638045-1 is prime! (116018.7740s+0.0658s)
[Elapsed time: 32.23 hours]
modified2018-09-25 13:41:11
created2018-08-15 06:11:01

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.