5711 · 21236551 + 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:5711 · 21236551 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L2823 : Loureiro, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:372243   (log10 is 372242.69888045)
Rank (*):10785 (digit rank is 1)
Entrance Rank (*):2801
Currently on list? (*):no
Submitted:1/18/2014 14:40:05 CDT
Last modified:1/18/2014 17:50:56 CDT
Removed (*):2/25/2015 03:18:49 CDT
Database id:116932
Status Flags:TrialDiv
Score (*):43.5985 (normalized score 0.666)

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.
fieldvalue
prime_id116932
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"5711*2^1236551+1" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 5711*2^1236551+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
5711*2^1236551+1 is prime! (4169.0270s+0.0010s)
[Elapsed time: 69.48 minutes]
modified2014-04-01 17:37:38
created2014-01-18 16:30:09
id162444

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.