129 · 23328805 + 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:129 · 23328805 + 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3859 : Clifton, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1002073   (log10 is 1002072.26530595)
Rank (*):174 (digit rank is 1)
Entrance Rank (*):98
Currently on list? (*):short
Submitted:7/24/2014 18:08:20 CDT
Last modified:7/24/2014 20:11:52 CDT
Database id:118246
Status Flags:TrialDiv
Score (*):46.6393 (normalized score 18.3698)

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.

Eric Clifton writes (11 Sep 2014): 
Divides xGF(3328804,7,5)

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_id118246
person_id9
machineXeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"129*2^3328805+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 129*2^3328805+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


129*2^3328805+1 is prime! (3995.6925s+0.0013s)
[Elapsed time: 66.58 minutes]
modified2014-12-15 15:47:32
created2014-07-24 18:11:02
id163812

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.