
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(2028)/11246153954845684745 
Verification status (*):  PRP 
Official Comment:  Euler irregular, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c55 : Gramolin, Primo 
Decimal Digits:  5412 (log_{10} is 5411.3600318736) 
Rank (*):  80831 (digit rank is 1) 
Entrance Rank (*):  58539 
Currently on list? (*):  short 
Submitted:  3/26/2011 06:04:24 CDT 
Last modified:  3/26/2011 23:14:05 CDT 
Database id:  99271 
Blob database id:  251 
Status Flags:  Verify 
Score (*):  30.5347 (normalized score 0) 

Description:
(from blob table id=251)
For the primality proof certificate see: http://factordb.com/index.php?showid=1100000000293541437.
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 375
Subcategory: "ECPP"
(archival tag id 213180, tag last modified 20180702 08:50:19)  Euler Irregular primes (archivable *)
 Prime on list: yes, rank 6
Subcategory: "Euler Irregular primes"
(archival tag id 213179, 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  99271 
person_id  9 
machine  RedHat P4 P4 
what  prp 
notes  PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 2291035789...0963774693 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Running N+1 test using discriminant 5, base 5+sqrt(5) Calling N+1 BLS with factored part 0.20% and helper 0.18% (0.80% proof) 2291035789...0963774693 is Fermat and Lucas PRP! (10.0634s+0.0016s) [Elapsed time: 10.00 seconds]

modified  20110327 14:30:13 
created  20110327 14:30:13 
id  128075 

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