123 · 23230548 + 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:123 · 23230548 + 1
Verification status (*):Proven
Official Comment (*):Divides GF(3230546,12)
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L5178 : Larsson, LLR2, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:972494   (log10 is 972493.94033739)
Rank (*):2177 (digit rank is 1)
Entrance Rank (*):1492
Currently on list? (*):short
Submitted:4/12/2022 21:38:05 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:133836
Status Flags:TrialDiv
Score (*):46.5474 (normalized score 5.9215)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: yes, rank 6, weight 51.359642475772
Subcategory: "Divides GF(*,12)"
(archival tag id 226993, tag last modified 2023-03-11 15:53:59)

User comments about this prime (disclaimer):

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PrimeGrid writes (12 Apr 2022):  (report abuse)
Also divides xGF(3230547,11,5).

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: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"123*2^3230548+1" 2>&1 PFGW Version [GWNUM 29.8] Primality testing 123*2^3230548+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 123*2^3230548+1 is prime! (1610.3018s+0.0008s) [Elapsed time: 26.83 minutes]
modified2022-07-11 18:21:44
created2022-04-12 21:51:02

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
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