(4449710093 - 1)/44496
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:(4449710093 - 1)/44496
Verification status (*):PRP
Official Comment:Generalized repunit
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p170 : Wu_T, Primo, OpenPFGW
Decimal Digits:46911   (log10 is 46910.953754221)
Rank (*):52687 (digit rank is 1)
Entrance Rank (*):50776
Currently on list? (*):short
Submitted:6/1/2016 02:50:10 CDT
Last modified:6/1/2016 03:20:36 CDT
Database id:121723
Status Flags:Verify, TrialDiv
Score (*):37.2202 (normalized score 0.0014)

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 218339, tag last modified 2017-06-04 14:20:22)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Tom Wu writes (1 Jun 2016): 
BLS primality proof (N-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.
fieldvalue
prime_id121723
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprp
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"(44497^10093-1)/44496" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing (44497^10093-1)/44496 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 3+sqrt(17)
Calling N-1 BLS with factored part 0.20% and helper 0.02% (0.63% proof)


(44497^10093-1)/44496 is Fermat and Lucas PRP! (212.4029s+0.0012s)
[Elapsed time: 3.53 minutes]
modified2017-01-27 05:57:11
created2016-06-01 02:53:01
id167361

Query times: 0.0004 seconds to select prime, 0.0002 seconds to seek comments.