
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' · 2^{1688} + 99" 
Verification status (*):  PRP 
Official Comment:  Illegal prime, ECPP 
Proofcode(s): (*):  c5 : Carmody, Primo 
Decimal Digits:  1905 (log_{10} is 1904.00847685) 
Rank (*):  92412 (digit rank is 6) 
Entrance Rank (*):  31241 
Currently on list? (*):  no 
Submitted:  3/14/2001 00:17:41 CDT 
Last modified:  3/14/2001 00:17:41 CDT 
Database id:  37569 
Blob database id:  11 
Status Flags:  Verify 
Score (*):  27.2837 (normalized score 0) 

Description:
(from blob table id=11)
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 1
Subcategory: "Illegal prime"
(archival tag id 176262, tag last modified 20031101 21:20:04)  Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 697
Subcategory: "ECPP"
(archival tag id 176261, tag last modified 20160925 04:20:42)
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  37569 
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 1019710401...0786882659 [N1/N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 11, base 2+sqrt(11) Calling N1 BLS with factored part 0.14% and helper 0.06% (0.51% proof) 1019710401...0786882659 is Fermat and Lucas PRP! (34.850000 seconds) 
modified  20030325 11:21:44 
created  20030130 17:38:19 
id  67967 

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.
