
The hardware and software on this system was updated September 4th.
Please let me know of any problem you encounter.
< caldwell@utm.edu>
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:  11796^{7} + 7^{11796} 
Verification status (*):  PRP 
Official Comment:  ECPP 
Proofcode(s): (*):  c57 : Kulsha, Primo 
Decimal Digits:  9969 (log_{10} is 9968.7764800082) 
Rank (*):  67990 (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 97
Subcategory: "ECPP"
(archival tag id 213580, tag last modified 20140911 13:20:30)
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  102652 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /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]

modified  20111227 16:48:27 
created  20111102 16:18:01 
id  134895 

field  value 
prime_id  102652 
person_id  9 
machine  RedHat Virtual STEM Server 
what  prp 
notes  Command: /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 [N1/N+1, BrillhartLehmerSelfridge] Running N1 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]

modified  20111227 16:48:27 
created  20111102 16:25:57 
id  134896 

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