
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:  "93074010508593618333...(6499 other digits)...83885253703080601131" 
Verification status (*):  PRP 
Official Comment:  ECPP 
Proofcode(s): (*):  c6 : Larrosa, Primo 
Decimal Digits:  6539 (log_{10} is 6538.96882843) 
Rank (*):  79766 (digit rank is 3) 
Entrance Rank (*):  28157 
Currently on list? (*):  no 
Submitted:  2/13/2004 14:24:31 CDT 
Last modified:  2/13/2004 14:24:31 CDT 
Database id:  68825 
Blob database id:  108 
Status Flags:  Verify 
Score (*):  31.1225 (normalized score 0) 

Description:
(from blob table id=108)
This is bell number Bell(2841)
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 314
Subcategory: "ECPP"
(archival tag id 194806, tag last modified 20190216 16:50:05)
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  68825 
person_id  9 
machine  Linux P4 2.8GHz 
what  prp 
notes  PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 9307401050...3080601131 [N1/N+1, BrillhartLehmerSelfridge] trial factoring to 1814229 Running N1 test using base 2 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 43452 bit request FFT size=(3072,16) Running N1 test using base 3 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 43452 bit request FFT size=(3072,16) Running N1 test using base 7 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 43452 bit request FFT size=(3072,16) Running N+1 test using discriminant 17, base 1+sqrt(17) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 43460 bit request FFT size=(3072,16) Calling N1 BLS with factored part 0.12% and helper 0.01% (0.36% proof) 9307401050...3080601131 is Fermat and Lucas PRP! (41.2718s+0.0037s)

modified  20040213 14:27:42 
created  20040213 14:27:01 
id  73776 

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