
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:  primU(70455) 
Verification status (*):  PRP 
Official Comment:  Fibonacci primitive part, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c8 : Water, Broadhurst, Primo 
Decimal Digits:  6019 (log_{10} is 6018.7311363245) 
Rank (*):  80109 (digit rank is 2) 
Entrance Rank (*):  68676 
Currently on list? (*):  short 
Submitted:  3/24/2013 06:41:18 CDT 
Last modified:  3/24/2013 07:20:36 CDT 
Database id:  111801 
Status Flags:  Verify 
Score (*):  30.8651 (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 343
Subcategory: "ECPP"
(archival tag id 215215, tag last modified 20180722 00:50:24)  Fibonacci Primitive Part (archivable *)
 Prime on list: yes, rank 17
Subcategory: "Fibonacci Primitive Part"
(archival tag id 215216, tag last modified 20180722 00:50:24)
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  111801 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 5384387711810281....7360825108432001 1/1 mro=0
trial factoring to 1658298 5384387711...5108432001 has no small factor. [Elapsed time: 4.564 seconds]

modified  20130408 09:17:47 
created  20130324 06:48:07 
id  153935 

field  value 
prime_id  111801 
person_id  9 
machine  RedHat P4 P4 
what  prp 
notes  PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 5384387711...5108432001 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 17 Running N1 test using base 29 Running N1 test using base 37 Running N1 test using base 71 Running N1 test using base 89 Running N1 test using base 101 Running N1 test using base 103 Running N1 test using base 109 Running N+1 test using discriminant 127, base 4+sqrt(127) Calling N1 BLS with factored part 0.61% and helper 0.09% (1.93% proof) 5384387711...5108432001 is Fermat and Lucas PRP! (32.3425s+0.0018s) [Elapsed time: 33.00 seconds]

modified  20130324 06:54:33 
created  20130324 06:54:00 
id  153955 

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
