1947 · 2929362 + 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:1947 · 2929362 + 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L2549 : McKay, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:279770   (log10 is 279769.12819622)
Rank (*):16638 (digit rank is 1)
Entrance Rank (*):2235
Currently on list? (*):no
Submitted:7/2/2012 10:43:42 CDT
Last modified:7/3/2012 10:22:15 CDT
Removed (*):3/20/2013 13:48:57 CDT
Database id:108072
Status Flags:none
Score (*):42.7207 (normalized score 0.2608)

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.

Douglas B. McKay writes (11 Sep 2014): 
Factor of xGF(929361,7,6)

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_id108072
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1947 2 929362 1 2>&1
[Elapsed time: 9.521 seconds]
modified2012-07-16 11:32:58
created2012-07-02 10:48:01
id145729

fieldvalue
prime_id108072
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"1947*2^929362+1" 2>&1
PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14]
Primality testing 1947*2^929362+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
1947*2^929362+1 is prime! (840.9746s+0.0321s)
[Elapsed time: 14.02 minutes]
modified2012-07-16 11:32:58
created2012-07-02 10:52:28
id145730

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