p(130085878)
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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:p(130085878)
Verification status (*):PRP
Official Comment:Partitions, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c85 : Lasher, Broadhurst, Primo
Decimal Digits:12697   (log10 is 12696.892405632)
Rank (*):70019 (digit rank is 2)
Entrance Rank (*):69038
Currently on list? (*):short
Submitted:2/3/2017 09:36:21 CDT
Last modified:2/3/2017 10:20:16 CDT
Database id:122837
Blob database id:361
Status Flags:Verify, TrialDiv
Score (*):33.1799 (normalized score 0)

Description: (from blob table id=361)

The number of unrestricted integer partitions of 130085878 is p(130085878).

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 73
Subcategory: "ECPP"
(archival tag id 218589, tag last modified 2017-10-14 12:20:20)
Partitions (archivable *)
Prime on list: yes, rank 11
Subcategory: "Partitions"
(archival tag id 218590, tag last modified 2017-10-14 12:20:22)

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.

David Broadhurst writes (4 Feb 2017): 
certificate

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.
fieldvalue
prime_id122837
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprp
notesPFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 7805588137...6568312267 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 1+sqrt(5)
Calling N-1 BLS with factored part 0.09% and helper 0.02% (0.28% proof)


7805588137...6568312267 is Fermat and Lucas PRP! (10.4775s+0.0740s)
[Elapsed time: 10.00 seconds]
modified2017-03-31 15:53:57
created2017-02-03 10:13:02
id168481

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.