primV(38513, - 1, 11502)
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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:primV(38513, - 1, 11502)
Verification status (*):Proven
Official Comment:Generalized Lucas primitive part
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):x23 : Renze, Water, Broadhurst, Primo, OpenPFGW
Decimal Digits:34668   (log10 is 34667.191565536)
Rank (*):57277 (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 0.0004)

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 2013-11-15 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.

David Broadhurst writes (11 Sep 2014): 
BLS proof helped by a CHG proof of primV(38513,-1,1944) in

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.
machineRedHat P4 P4
notesCommand: /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]
modified2007-03-03 21:00:43
created2006-11-13 10:22:02

machineWinXP Pent_M 1.7GHz Laptop
notesCommand: 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 N-1 test using base 47
Primality testing primV(38513,-1,11502) [N-1/N+1, Brillhart-Lehmer-Selfridge]
N-Calling N-1 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]
modified2007-03-03 21:00:43
created2006-11-15 07:41:49

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