751 · 2867832 + 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:751 · 2867832 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1122 : Parker, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:261247   (log10 is 261246.338837)
Rank (*):20543 (digit rank is 1)
Entrance Rank (*):1212
Currently on list? (*):no
Submitted:5/4/2011 09:19:41 CDT
Last modified:5/4/2011 11:04:28 CDT
Removed (*):10/8/2012 20:23:53 CDT
Database id:99964
Status Flags:none
Score (*):42.51 (normalized score 0.1467)

User comments about this prime (disclaimer):

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Travis Parker writes (11 Sep 2014):  (report abuse)
Divides xGF(867830,6,5)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -t -q"751*2^867832+1" 2>&1 PFGW Version [GWNUM 26.5] Primality testing 751*2^867832+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 751*2^867832+1 is prime! (1645.5545s+0.0006s) [Elapsed time: 27.42 minutes]
modified2020-07-07 17:30:31
created2011-05-04 09:23:02

machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 751 2 867832 1 2>&1 [Elapsed time: 9.862 seconds]
modified2020-07-07 17:30:31
created2011-05-04 09:35:31

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
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