
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:  109061779 · 2^{35003} + 11855 
Verification status (*):  PRP 
Official Comment:  ECPP, consecutive primes arithmetic progression (3,d=5928) 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c4 : Broadhurst, Primo 
Decimal Digits:  10545 (log_{10} is 10544.990610804) 
Rank (*):  73226 (digit rank is 1) 
Entrance Rank (*):  65888 
Currently on list? (*):  short 
Submitted:  2/1/2014 05:02:41 CDT 
Last modified:  2/1/2014 05:21:00 CDT 
Database id:  117036 
Status Flags:  Verify, TrialDiv 
Score (*):  32.6045 (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 3
Subcategory: "Consecutive primes in arithmetic progression (3,d=*)"
(archival tag id 217597, tag last modified 20140319 14:52:09)  Arithmetic Progressions of Primes (archivable class *)
 Prime on list: no, rank 120, weight 38.2075257991633
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 217598, tag last modified 20170202 09:20:09)  Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 144
Subcategory: "ECPP"
(archival tag id 217599, tag last modified 20180630 01:50:26)
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  117036 
person_id  9 
machine  Ditto P4 P4 
what  prp 
notes  Command: /home/ditto/client/pfgw tc q"109061779*2^35003+11855" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 109061779*2^35003+11855 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 3 Running N1 test using base 5 Running N+1 test using discriminant 23, base 1+sqrt(23) Calling N1 BLS with factored part 0.09% and helper 0.01% (0.27% proof) 109061779*2^35003+11855 is Fermat and Lucas PRP! (18.9885s+0.0003s) [Elapsed time: 19.00 seconds]

modified  20140401 17:37:38 
created  20140201 05:08:30 
id  162550 

Query times: 0.0007 seconds to select prime, 0.0008 seconds to seek comments.
