
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:  6 · Bern(998)/(11511758102983 · 55034215982714323 · 70834556505031411 · 38698489087506303607099 · 4712129605357293035277301907 · 362429490639499678761278968817) 
Verification status (*):  PRP 
Official Comment:  Irregular,ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c62 : Minovic, TOPS, Primo 
Decimal Digits:  1640 (log_{10} is 1639.6285969755) 
Rank (*):  94011 (digit rank is 3) 
Entrance Rank (*):  84371 
Currently on list? (*):  short 
Submitted:  2/17/2013 01:11:52 CDT 
Last modified:  2/17/2013 02:20:26 CDT 
Database id:  111272 
Status Flags:  Verify 
Score (*):  26.8173 (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.
 Irregular Primes (archivable *)
 Prime on list: yes, rank 20
Subcategory: "Irregular Primes"
(archival tag id 215089, tag last modified 20161118 02:20:40)  Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 774
Subcategory: "ECPP"
(archival tag id 215090, tag last modified 20170203 10:20:18)
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  111272 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 4252036417749786....6883925656443481 1/1 mro=0
trial factoring to 402143 4252036417...5656443481 has no small factor. [Elapsed time: 0.378 seconds]

modified  20130224 16:44:13 
created  20130217 01:18:02 
id  152816 

field  value 
prime_id  111272 
person_id  9 
machine  Ditto P4 P4 
what  prp 
notes  PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 4252036417...5656443481 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 7 Running N1 test using base 11 Running N1 test using base 13 Running N+1 test using discriminant 19, base 9+sqrt(19) Calling N1 BLS with factored part 0.37% and helper 0.33% (1.43% proof) 4252036417...5656443481 is Fermat and Lucas PRP! (1.0481s+0.0005s) [Elapsed time: 1.00 seconds]

modified  20130217 01:58:45 
created  20130217 01:58:44 
id  152822 

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
