261 · 21848217 + 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:261 · 21848217 + 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1983 : Safford, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:556372   (log10 is 556371.1721366)
Rank (*):1421 (digit rank is 1)
Entrance Rank (*):225
Currently on list? (*):yes
Submitted:3/21/2013 19:19:28 CDT
Last modified:3/22/2013 06:16:32 CDT
Database id:111741
Status Flags:none
Score (*):44.8332 (normalized score 2.9824)

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.

Scott Safford writes (11 Sep 2014): 
Divides xGF(1848215,7,5)!!!!

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_id111741
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 261 2 1848217 1 2>&1
[Elapsed time: 10.154 seconds]
modified2013-04-08 09:17:47
created2013-03-21 19:35:01
id153814

fieldvalue
prime_id111741
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"261*2^1848217+1" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 261*2^1848217+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
261*2^1848217+1 is prime! (8267.0425s+0.0014s)
[Elapsed time: 2.30 hours]
modified2013-04-08 09:17:47
created2013-03-21 19:44:01
id153815

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