298989 · 23886857 + 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:298989 · 23886857 + 1
Verification status (*):Proven
Official Comment:Generalized Cullen
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L2777 : Ritschel, Gcwsieve, TOPS, LLR
Decimal Digits:1170067   (log10 is 1170066.02151173)
Rank (*):134 (digit rank is 1)
Entrance Rank (*):69
Currently on list? (*):short
Submitted:12/31/2014 02:54:03 CDT
Last modified:12/31/2014 05:50:21 CDT
Database id:119034
Status Flags:TrialDiv
Score (*):47.1148 (normalized score 28.8535)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Generalized Cullen (archivable *)
Prime on list: yes, rank 3
Subcategory: "Generalized Cullen"
(archival tag id 217876, tag last modified 2017-08-23 07:50:11)

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.

Thomas Ritschel writes (31 Dec 2014): 
298989*8192^298989+1

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_id119034
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"298989*2^3886857+1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 298989*2^3886857+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


298989*2^3886857+1 is prime! (8802.5792s+0.0013s)
[Elapsed time: 2.45 hours]
modified2015-01-06 10:48:30
created2014-12-31 03:01:01
id164638

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