3569 · 2857917 + 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:3569 · 2857917 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1125 : Laluk, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:258263   (log10 is 258262.3033366)
Rank (*):18758 (digit rank is 1)
Entrance Rank (*):2671
Currently on list? (*):no
Submitted:5/7/2012 22:23:36 CDT
Last modified:5/8/2012 00:20:46 CDT
Removed (*):9/28/2012 11:51:45 CDT
Database id:106858
Status Flags:none
Score (*):42.4747 (normalized score 0.1905)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 3569 2 857917 1 2>&1
[Elapsed time: 10.209 seconds]
modified2012-07-16 11:32:59
created2012-05-07 22:35:42

machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -t -q"3569*2^857917+1" 2>&1
PFGW Version [GWNUM 26.5]
Primality testing 3569*2^857917+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
3569*2^857917+1 is prime! (1676.4196s+0.0007s)
[Elapsed time: 27.95 minutes]
modified2012-07-16 11:32:59
created2012-05-07 23:34:01

Query times: 0.0009 seconds to select prime, -0.9994 seconds to seek comments.