
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:  33957462 · Bern(2370)/40685 
Verification status (*):  PRP 
Official Comment:  Irregular, ECPP 
Proofcode(s): (*):  c11 : Oakes, Primo 
Decimal Digits:  5083 (log_{10} is 5082.49838020094) 
Rank (*):  82744 (digit rank is 1) 
Entrance Rank (*):  27129 
Currently on list? (*):  short 
Submitted:  6/4/2003 04:01:42 CDT 
Last modified:  6/4/2003 04:01:42 CDT 
Database id:  64952 
Status Flags:  Verify 
Score (*):  30.34 (normalized score 0) 

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 411
Subcategory: "ECPP"
(archival tag id 195169, tag last modified 20190318 19:50:17)  Irregular Primes (archivable *)
 Prime on list: yes, rank 13
Subcategory: "Irregular Primes"
(archival tag id 195168, tag last modified 20180423 04:20:13)
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  64952 
person_id  9 
machine  Linux P4 2.8GHz 
what  prp 
notes  PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Primality
Running N1 test using base 2 5757722764...0966235907 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 3 Running N1 test using base 5 Running N1 test using base 7 Running N1 test using base 13 Running N1 test using base 19 Running N+1 test using discriminant 29, base 2+sqrt(29) Calling N+1 BLS with factored part 0.20% and helper 0.14% (0.73% proof) 3150505201...0966235907 is Fermat and Lucas PRP! (49.340000 seconds)

modified  20030712 13:12:12 
created  20030607 21:44:52 
id  69736 

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
