(452916381 - 1)/4528

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:(452916381 - 1)/4528
Verification status (*):PRP
Official Comment (*):Generalized repunit
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):CH2 : Wu_T, OpenPFGW, Primo, CHG
Decimal Digits:59886   (log10 is 59885.318108689)
Rank (*):54573 (digit rank is 1)
Entrance Rank (*):37433
Currently on list? (*):short
Submitted:12/1/2012 18:52:57 CDT
Last modified:12/1/2012 19:50:25 CDT
Database id:110198
Status Flags:Verify
Score (*):37.9736 (normalized score 0.0012)

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 Repunit (archivable *)
Prime on list: yes, rank 11
Subcategory: "Generalized Repunit"
(archival tag id 214688, tag last modified 2020-11-08 16:50:07)

User comments about this prime (disclaimer):

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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 -tc -q"(4529^16381-1)/4528" 2>&1 PFGW Version [GWNUM 26.5] Primality testing (4529^16381-1)/4528 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 23 Running N+1 test using discriminant 47, base 3+sqrt(47) Calling N-1 BLS with factored part 0.55% and helper 0.00% (1.65% proof) (4529^16381-1)/4528 is Fermat and Lucas PRP! (1762.7384s+0.0032s) [Elapsed time: 29.38 minutes]
modified2020-07-07 17:30:23
created2012-12-01 18:53:01

machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -o -f -q"(4529^16381-1)/4528" 2>&1 PFGW Version [GWNUM 26.5] (4529^16381-1)/4528 1/1 mro=0 trial factoring to 19699746 (4529^16381-1)/4528 has no small factor. [Elapsed time: 93.624 seconds]
modified2020-07-07 17:30:23
created2012-12-01 19:05:01

Query times: 0.0003 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.