117967 + 711796
(Another of the Prime Pages' resources)
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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:117967 + 711796
Verification status (*):PRP
Official Comment:ECPP
Proof-code(s): (*):c57 : Kulsha, Primo
Decimal Digits:9969   (log10 is 9968.7764800082)
Rank (*):67759 (digit rank is 1)
Entrance Rank (*):55630
Currently on list? (*):no
Submitted:11/2/2011 16:12:03 CDT
Last modified:11/2/2011 16:50:45 CDT
Database id:102652
Status Flags:Verify
Score (*):32.4304 (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 88
Subcategory: "ECPP"
(archival tag id 213580, tag last modified 2014-07-28 10:51:40)

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.
fieldvalue
prime_id102652
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/pfgw -o -f -q"11796^7+7^11796" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
11796^7+7^11796 1/1 mro=0


trial factoring to 2863651
11796^7+7^11796 has no small factor.
[Elapsed time: 2.577 seconds]
modified2011-12-27 16:48:27
created2011-11-02 16:18:01
id134895

fieldvalue
prime_id102652
person_id9
machineRedHat Virtual STEM Server
whatprp
notesCommand: /home/caldwell/client/pfgw -tc -q"11796^7+7^11796" 2>&1
PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14]
Primality testing 11796^7+7^11796 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 17, base 6+sqrt(17)
Calling N+1 BLS with factored part 0.13% and helper 0.04% (0.43% proof)
11796^7+7^11796 is Fermat and Lucas PRP! (22.5111s+0.0149s)
[Elapsed time: 32.00 seconds]
modified2011-12-27 16:48:27
created2011-11-02 16:25:57
id134896

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