
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:  V(49391)/298414424560419239 
Verification status (*):  PRP 
Official Comment:  Lucas cofactor, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c8 : Water, Broadhurst, Primo 
Decimal Digits:  10305 (log_{10} is 10304.633719775) 
Rank (*):  73695 (digit rank is 1) 
Entrance Rank (*):  63613 
Currently on list? (*):  short 
Submitted:  6/16/2013 09:48:33 CDT 
Last modified:  6/16/2013 10:20:26 CDT 
Database id:  114432 
Status Flags:  Verify 
Score (*):  32.5331 (normalized score 0) 

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.
 Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 162
Subcategory: "ECPP"
(archival tag id 217185, tag last modified 20181104 20:50:19)  Lucas cofactor (archivable *)
 Prime on list: yes, rank 8
Subcategory: "Lucas cofactor"
(archival tag id 217186, tag last modified 20180820 09:50:23)
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  114432 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/pfgw o f q"V(49391)/298414424560419239" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] V(49391)/298414424560419239 1/1 mro=0
trial factoring to 2968100 V(49391)/298414424560419239 has no small factor. [Elapsed time: 2.761 seconds]

modified  20130816 09:44:46 
created  20130616 09:52:02 
id  159242 

field  value 
prime_id  114432 
person_id  9 
machine  RedHat P4 P4 
what  prp 
notes  Command: /home/caldwell/client/pfgw tc q"V(49391)/298414424560419239" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing V(49391)/298414424560419239 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 7 Running N1 test using base 11 Running N+1 test using discriminant 23, base 1+sqrt(23) Calling N1 BLS with factored part 0.11% and helper 0.00% (0.35% proof) V(49391)/298414424560419239 is Fermat and Lucas PRP! (53.2562s+0.0042s) [Elapsed time: 53.00 seconds]

modified  20130816 09:44:46 
created  20130616 09:53:01 
id  159243 

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
