
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:  (4366^{10099}  1)/4365 
Verification status (*):  PRP 
Official Comment:  Generalized repunit 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  x14 : Steward, Primo, OpenPFGW 
Decimal Digits:  36758 (log_{10} is 36757.565618889) 
Rank (*):  56715 (digit rank is 1) 
Entrance Rank (*):  35526 
Currently on list? (*):  short 
Submitted:  3/20/2011 08:24:09 CDT 
Last modified:  3/22/2011 18:15:57 CDT 
Database id:  99245 
Status Flags:  Verify 
Score (*):  36.4672 (normalized score 0.0006) 

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 20
Subcategory: "Generalized Repunit"
(archival tag id 213172, tag last modified 20180124 23:20:10)
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.
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.
field  value 
prime_id  99245 
person_id  9 
machine  Ditto P4 P4 
what  trial_divided 
notes  Command: /home/ditto/client/pfgw o f q"(4366^100991)/4365" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] (4366^100991)/4365 1/1 mro=0
trial factoring to 11674452 (4366^100991)/4365 has no small factor. [Elapsed time: 34.821 seconds]

modified  20111227 16:48:33 
created  20110320 08:35:16 
id  127881 

field  value 
prime_id  99245 
person_id  9 
machine  RedHat P4 P4 
what  prp 
notes  Command: /home/caldwell/client/pfgw tc q"(4366^100991)/4365" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing (4366^100991)/4365 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Running N1 test using base 3 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N1 BLS with factored part 0.45% and helper 0.00% (1.35% proof) (4366^100991)/4365 is Fermat and Lucas PRP! (608.4494s+0.0015s) [Elapsed time: 10.13 minutes]

modified  20110325 10:27:28 
created  20110320 08:26:05 
id  127878 

Query times: 0.0006 seconds to select prime, 0.0007 seconds to seek comments.
