
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:  993530619517 · 2503# + 1633050373 
Verification status (*):  PRP 
Official Comment:  Consecutive primes arithmetic progression (5,d=30) 
Proofcode(s): (*):  x38 : Broadhurst, Primo, OpenPFGW 
Decimal Digits:  1073 (log_{10} is 1072.2958888695) 
Rank (*):  111039 (digit rank is 28) 
Entrance Rank (*):  103813 
Currently on list? (*):  short 
Submitted:  12/19/2013 23:43:49 CDT 
Last modified:  12/20/2013 00:20:55 CDT 
Database id:  116682 
Status Flags:  Verify, TrialDiv 
Score (*):  25.4903 (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.
 Consecutive Primes in Arithmetic Progression (archivable class *)
 Prime on list: yes, rank 2
Subcategory: "Consecutive primes in arithmetic progression (5,d=*)"
(archival tag id 217532, tag last modified 20131220 00:20:58)  Arithmetic Progressions of Primes (archivable class *)
 Prime on list: no, rank 164, weight 37.5357867897959
Subcategory: "Arithmetic progression (5,d=*)"
(archival tag id 217533, tag last modified 20171008 23:50:16)
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  116682 
person_id  9 
machine  RedHat P4 P4 
what  prp 
notes  Command: /home/caldwell/client/pfgw tc q"993530619517*2503#+1633050373" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 993530619517*2503#+1633050373 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Running N1 test using base 3 Running N+1 test using discriminant 11, base 1+sqrt(11) Calling N1 BLS with factored part 0.51% and helper 0.22% (1.77% proof) 993530619517*2503#+1633050373 is Fermat and Lucas PRP! (0.4170s+0.0003s) [Elapsed time: 0.00 seconds]

modified  20140401 17:37:39 
created  20131219 23:53:04 
id  162191 

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