
The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or
π( x) for x up to 100,000,000,000,000,000.
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:  "'css_descramble.c.gz' · 65536 + 2083" 
Verification status (*):  PRP 
Official Comment:  Illegal prime, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c5 : Carmody, Primo 
Decimal Digits:  1401 (log_{10} is 1400.6863241) 
Rank (*):  95464 (digit rank is 4) 
Entrance Rank (*):  33954 
Currently on list? (*):  no 
Submitted:  3/14/2001 00:17:41 CDT 
Last modified:  3/14/2001 00:17:41 CDT 
Database id:  40353 
Blob database id:  10 
Status Flags:  Verify 
Score (*):  26.3254 (normalized score 0) 

Description:
(from blob table id=10)
The first illegal prime.
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.
 Illegal prime (tolerated *)
 Prime on list: no, rank 2
Subcategory: "Illegal prime"
(archival tag id 176773, tag last modified 20031101 21:20:04)  Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 805
Subcategory: "ECPP"
(archival tag id 176772, tag last modified 20161207 08:50:39)
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  40353 
person_id  9 
machine  Linux PII 200 
what  prp 
notes  PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N1 test using base 2 Primality testing 4856507896...0880529443 [N1/N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 5, base 1+sqrt(5) Calling N1 BLS with factored part 0.62% and helper 0.41% (2.32% proof) 4856507896...0880529443 is Fermat and Lucas PRP! (15.650000 seconds) 
modified  20030325 11:21:44 
created  20030130 17:37:57 
id  67966 

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.
