
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:  "τ(619^{1296})" 
Verification status (*):  PRP 
Official Comment:  ECPP 
Unofficial Comments:  This prime has 2 user comments below. 
Proofcode(s): (*):  c72 : Deloche, Lygeros, Rozier, Primo 
Decimal Digits:  19900 (log_{10} is 19899.562410147) 
Rank (*):  64198 (digit rank is 2) 
Entrance Rank (*):  58400 
Currently on list? (*):  no 
Submitted:  8/12/2014 09:21:47 CDT 
Last modified:  8/12/2014 10:20:01 CDT 
Database id:  118333 
Blob database id:  329 
Status Flags:  Verify, TrialDiv 
Score (*):  34.5707 (normalized score 0) 

Description:
(from blob table id=329)
[This prime has a precalculated decimal expansion (linked blob)]
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 22
Subcategory: "ECPP"
(archival tag id 217782, tag last modified 20180413 14:26:58)
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  118333 
person_id  9 
machine  Xeon 4c+4c 3.5GHz 
what  prp 
notes  PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 3650985828...9297830241 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 19 Running N1 test using base 37 Running N+1 test using discriminant 61, base 2+sqrt(61) Calling N1 BLS with factored part 0.09% and helper 0.04% (0.31% proof)
3650985828...9297830241 is Fermat and Lucas PRP! (39.9053s+0.0072s) [Elapsed time: 40.00 seconds]

modified  20141215 15:47:32 
created  20140812 09:27:40 
id  163904 

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
