1199 · 22244631 + 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.

This prime's information:

Description:1199 · 22244631 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3593 : Veit, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:675705   (log10 is 675704.33901642)
Rank (*):4275 (digit rank is 1)
Entrance Rank (*):463
Currently on list? (*):yes
Submitted:1/21/2016 12:15:57 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:120913
Status Flags:none
Score (*):45.4299 (normalized score 1.4936)

User comments about this prime (disclaimer):

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PrimeGrid writes (21 Jan 2016):  (report abuse)
1199*2^2244631+1 is a Factor of xGF(2244627,7,5)

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"1199*2^2244631+1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 1199*2^2244631+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 1199*2^2244631+1 is prime! (1922.8995s+0.0004s) [Elapsed time: 32.05 minutes]
modified2020-07-07 22:30:17
created2016-01-21 14:50:02

Query times: 0.0003 seconds to select prime, 0.0019 seconds to seek comments.
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