
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:   E(1078)/361898544439043 
Verification status (*):  PRP 
Official Comment:  Euler irregular, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c4 : Broadhurst, Primo 
Decimal Digits:  2578 (log_{10} is 2577.03810143628) 
Rank (*):  88301 (digit rank is 5) 
Entrance Rank (*):  28287 
Currently on list? (*):  short 
Submitted:  2/13/2002 12:43:12 CDT 
Last modified:  2/13/2002 12:43:12 CDT 
Database id:  30622 
Blob database id:  29 
Status Flags:  Verify 
Score (*):  28.2272 (normalized score 0) 

Description:
(from blob table id=29)
Certificate for this number was FULLY validated!
Total time used to validate certificate: 15h 26mn 26.665s
There were 407 steps in the primality proof
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 613
Subcategory: "ECPP"
(archival tag id 175624, tag last modified 20180620 12:50:21)  Euler Irregular primes (archivable *)
 Prime on list: yes, rank 14
Subcategory: "Euler Irregular primes"
(archival tag id 175623, tag last modified 20180314 05:50:22)
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.
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  30622 
person_id  9 
machine  Linux PII 200 
what  prp 
notes  PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N1 test using base 5 Primality testing 1091695289...4337714287 [N1/N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 17, base 1+sqrt(17) Calling N+1 BLS with factored part 0.15% and helper 0.01% (0.47% proof) 1091695289...4337714287 is Fermat and Lucas PRP! (67.940000 seconds) 
modified  20030325 11:21:44 
created  20030201 09:57:51 
id  68055 

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