249 · 23486411 + 1
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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:249 · 23486411 + 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4045 : Chew, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1049517   (log10 is 1049516.6844122)
Rank (*):180 (digit rank is 1)
Entrance Rank (*):109
Currently on list? (*):short
Submitted:5/10/2015 16:13:48 CDT
Last modified:5/10/2015 17:50:22 CDT
Database id:119905
Status Flags:TrialDiv
Score (*):46.7813 (normalized score 21.1711)

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.

PrimeGrid writes (16 Jun 2015): 
249*2^3486411+1 is a Factor of xGF(3486409,11,4)!!!!

For more details, see the official announcement.

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"249*2^3486411+1" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 249*2^3486411+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%

249*2^3486411+1 is prime! (5093.6054s+0.0012s)
[Elapsed time: 84.88 minutes]
modified2016-04-08 12:40:28
created2015-05-10 16:21:02

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