p(120037981)
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
 

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(120037981)
Verification status (*):PRP
Official Comment:Partitions, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c59 : Metcalfe, OpenPFGW, Primo
Decimal Digits:12197   (log10 is 12196.3642181484)
Rank (*):70765 (digit rank is 1)
Entrance Rank (*):64795
Currently on list? (*):short
Submitted:4/14/2014 11:24:06 CDT
Last modified:4/14/2014 15:22:19 CDT
Database id:117621
Blob database id:320
Status Flags:Verify, TrialDiv
Score (*):33.0553 (normalized score 0)

Description: (from blob table id=320)

The number of partitions of 120037981 is p(120037981).

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 86
Subcategory: "ECPP"
(archival tag id 217667, tag last modified 2017-11-16 23:50:19)
Partitions (archivable *)
Prime on list: yes, rank 17
Subcategory: "Partitions"
(archival tag id 217668, tag last modified 2017-11-12 19:50:21)

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 Metcalfe writes (11 Sep 2014): 
Certificate available from here.

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_id117621
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprp
notesCommand: pfgw64.exe -tc p_117621.txt 2>&1
PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8]
Primality testing 2313226444...1353157123 [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 0.14% and helper 0.03% (0.46% proof)
2313226444...1353157123 is Fermat and Lucas PRP! (14.2419s+0.0084s)
[Elapsed time: 16 seconds]
modified2014-04-14 15:25:10
created2014-04-14 15:19:35
id163162

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