
The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or
π( x) for x up to 100,000,000,000,000,000.
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:  6521953289619 · 2^{55555}  5 
Verification status (*):  PRP 
Official Comment:  Triplet (1), ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c58 : Kaiser1, NewPGen, OpenPFGW, Primo 
Decimal Digits:  16737 (log_{10} is 16736.535786797) 
Rank (*):  64913 (digit rank is 3) 
Entrance Rank (*):  56919 
Currently on list? (*):  short 
Submitted:  4/30/2013 10:44:09 CDT 
Last modified:  10/21/2013 16:50:25 CDT 
Database id:  114016 
Status Flags:  Verify 
Score (*):  34.0351 (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.
 Triplet (archivable class *)
 Prime on list: yes, rank 1
Subcategory: "Triplet (1)"
(archival tag id 217340, tag last modified 20131021 16:50:28)  Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 38
Subcategory: "ECPP"
(archival tag id 217339, tag last modified 20161123 08:20:40)
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  114016 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 6521953289619 2 55555 5 2>&1 [Elapsed time: 8.499 seconds]

modified  20130604 07:30:39 
created  20130430 10:48:01 
id  158391 

field  value 
prime_id  114016 
person_id  9 
machine  RedHat P4 P4 
what  prp 
notes  Command: /home/caldwell/client/pfgw tc q"6521953289619*2^555555" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 6521953289619*2^555555 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Running N+1 test using discriminant 5, base 1+sqrt(5) Calling N+1 BLS with factored part 0.06% and helper 0.01% (0.20% proof) 6521953289619*2^555555 is Fermat and Lucas PRP! (46.6925s+0.0003s) [Elapsed time: 46.00 seconds]

modified  20130604 07:30:39 
created  20130430 10:53:02 
id  158394 

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