777 · 22901907 + 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:777 · 22901907 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L5192 : Anonymous, LLR2, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:873564   (log10 is 873563.9420483)
Rank (*):1578 (digit rank is 1)
Entrance Rank (*):1038
Currently on list? (*):short
Submitted:12/14/2020 09:07:11 CDT
Last modified:12/14/2020 10:20:13 CDT
Database id:131473
Status Flags:TrialDiv
Score (*):46.2182 (normalized score 5.8182)

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PrimeGrid writes (14 Dec 2020):  (report abuse)
Divides xGF(2901906,6,5).

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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"777*2^2901907+1" 2>&1 PFGW Version [GWNUM 29.8] Primality testing 777*2^2901907+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 777*2^2901907+1 is prime! (3176.8611s+0.0006s) [Elapsed time: 52.95 minutes]
modified2021-04-20 17:39:26
created2020-12-14 09:11:01

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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