
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:   E(2202)/53781055550934778283104432814129020709 
Verification status (*):  PRP 
Official Comment:  Euler irregular, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c8 : Water, Broadhurst, Primo 
Decimal Digits:  5938 (log_{10} is 5937.1561042805) 
Rank (*):  80111 (digit rank is 1) 
Entrance Rank (*):  68311 
Currently on list? (*):  short 
Submitted:  2/16/2013 05:48:25 CDT 
Last modified:  2/16/2013 07:50:27 CDT 
Database id:  111252 
Blob database id:  290 
Status Flags:  Verify 
Score (*):  30.8227 (normalized score 0) 

Description:
(from blob table id=290)
[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.
 Euler Irregular primes (archivable *)
 Prime on list: yes, rank 5
Subcategory: "Euler Irregular primes"
(archival tag id 215075, tag last modified 20180314 05:50:22)  Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 349
Subcategory: "ECPP"
(archival tag id 215076, tag last modified 20180716 18:20:23)
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  111252 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 1432531829886790....3124539679469589 1/1 mro=0
trial factoring to 1633937 1432531829...9679469589 has no small factor. [Elapsed time: 6.718 seconds]

modified  20130216 12:06:20 
created  20130216 05:52:01 
id  152776 

field  value 
prime_id  111252 
person_id  9 
machine  Ditto P4 P4 
what  prp 
notes  PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 1432531829...9679469589 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Running N+1 test using discriminant 11, base 1+sqrt(11) Calling N+1 BLS with factored part 0.17% and helper 0.05% (0.56% proof) 1432531829...9679469589 is Fermat and Lucas PRP! (18.0490s+0.0039s) [Elapsed time: 19.00 seconds]

modified  20130216 07:23:44 
created  20130216 07:23:25 
id  152786 

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
