341552 · 5427478 - 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:341552 · 5427478 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):p285 : DUrso, Srsieve, SierpinskiRiesel, OpenPFGW
Decimal Digits:298800   (log10 is 298799.83297039)
Rank (*):15282 (digit rank is 1)
Entrance Rank (*):404
Currently on list? (*):no
Submitted:8/23/2010 21:19:30 CDT
Last modified:8/26/2010 05:20:22 CDT
Removed (*):8/7/2013 21:38:02 CDT
Database id:94394
Status Flags:none
Score (*):42.923 (normalized score 0.32)

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_id94394
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 341552 5 427478 -1 2>&1
[Elapsed time: 9.777 seconds]
modified2011-12-27 16:48:38
created2010-08-23 21:35:01
id118171

fieldvalue
prime_id94394
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -tp -q"341552*5^427478-1" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Primality testing 341552*5^427478-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 1+sqrt(3)
Running N+1 test using discriminant 3, base 3+sqrt(3)
Running N+1 test using discriminant 3, base 6+sqrt(3)
Running N+1 test using discriminant 3, base 9+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
341552*5^427478-1 is prime! (200878.5632s+0.0681s)
[Elapsed time: 2.32 days]
modified2010-10-13 12:41:35
created2010-08-23 21:23:01
id118170

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