4279 · 21174502 + 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:4279 · 21174502 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3548 : Ready, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:353564   (log10 is 353563.96330962)
Rank (*):12101 (digit rank is 1)
Entrance Rank (*):2584
Currently on list? (*):no
Submitted:9/24/2013 22:09:39 CDT
Last modified:9/24/2013 23:20:26 CDT
Removed (*):9/8/2014 15:02:02 CDT
Database id:115616
Status Flags:Verify, TrialDiv
Score (*):43.4403 (normalized score 0.5362)

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_id115616
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesPFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8]
Primality testing 4279*2^1174502+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
4279*2^1174502+1 is prime! (690.7120s+0.0021s)
prime (691 seconds)
modified2013-10-21 18:10:45
created2013-09-24 22:27:30
id161108

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