
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:  primV(38513,  1, 11502) 
Verification status (*):  Proven 
Official Comment:  Generalized Lucas primitive part 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  x23 : Renze, Water, Broadhurst, Primo, OpenPFGW 
Decimal Digits:  34668 (log_{10} is 34667.191565536) 
Rank (*):  56274 (digit rank is 1) 
Entrance Rank (*):  16517 
Currently on list? (*):  short 
Submitted:  11/13/2006 10:01:18 CDT 
Last modified:  11/15/2006 08:45:52 CDT 
Database id:  78834 
Status Flags:  none 
Score (*):  36.2864 (normalized score 0.0005) 

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.
 Generalized Lucas primitive part (archivable *)
 Prime on list: yes, rank 6
Subcategory: "Generalized Lucas primitive part"
(archival tag id 190780, tag last modified 20131115 08:21:24)
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  78834 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/pfgw o f q"primV(38513,1,11502)" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 10963339 primV(38513,1,11502) has no small factor. [Elapsed time: 31.312 seconds]

modified  20070303 21:00:43 
created  20061113 10:22:02 
id  86766 

field  value 
prime_id  78834 
person_id  9 
machine  WinXP Pent_M 1.7GHz Laptop 
what  prime 
notes  Command: pfgw.exe n tc hhelp.txt q"primV(38513,1,11502)" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Reading factors from helper file help.txt Running N1 test using base 47 Primality testing primV(38513,1,11502) [N1/N+1, BrillhartLehmerSelfridge] NCalling N1 BLS with factored part 34.46% and helper 0.01% (103.40% proof) primV(38513,1,11502) is prime! (3819.0341s+0.6583s) 1Running N+1 test using discriminant 67, base 18+sqrt(67) [Elapsed time: 3830 seconds]

modified  20070303 21:00:43 
created  20061115 07:41:49 
id  86804 

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
