"'css_descramble.c.gz' · 21688 + 99"
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The Largest Known Primes Icon
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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' · 21688 + 99"
Verification status (*):PRP
Official Comment:Illegal prime, ECPP
Proof-code(s): (*):c5 : Carmody, Primo
Decimal Digits:1905   (log10 is 1904.00847685)
Rank (*):95681 (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 2003-11-01 21:20:04)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 740
Subcategory: "ECPP"
(archival tag id 176261, tag last modified 2018-11-04 20:50:19)

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.
machineLinux PII 200
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing 1019710401...0786882659 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 11, base 2+sqrt(11) Calling N-1 BLS with factored part 0.14% and helper 0.06% (0.51% proof) 1019710401...0786882659 is Fermat and Lucas PRP! (34.850000 seconds)
modified2003-03-25 11:21:44
created2003-01-30 17:38:19

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