228 · 912288954 - 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:228 · 912288954 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L5410 : Anonymous, Srsieve, CRUS, LLR
Decimal Digits:855305   (log10 is 855304.7064492)
Rank (*):2625 (digit rank is 1)
Entrance Rank (*):1690
Currently on list? (*):short
Submitted:1/2/2022 09:01:04 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:133120
Status Flags:TrialDiv
Score (*):46.1534 (normalized score 4.0019)

User comments about this prime (disclaimer):

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Jeppe Stig Nielsen writes (2 Jan 2022):  (report abuse)
Can also be written 912^288955 / 4 - 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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tp -q"228*912^288954-1" 2>&1 PFGW Version [GWNUM 29.8] Primality testing 228*912^288954-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 13, base 1+sqrt(13) Calling Brillhart-Lehmer-Selfridge with factored part 43.20% 228*912^288954-1 is prime! (32143.2828s+0.0058s) [Elapsed time: 8.93 hours]
modified2022-07-11 18:21:45
created2022-01-02 09:06:02

Query times: 0.0009 seconds to select prime, 0.0008 seconds to seek comments.
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