402539 · 27173024 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: 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:

Description:402539 · 27173024 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3961 : Darimont, Srsieve, PrimeGrid, LLR
Decimal Digits:2159301   (log10 is 2159300.9884256)
Rank (*):268 (digit rank is 1)
Entrance Rank (*):20
Currently on list? (*):yes
Submitted:10/2/2014 16:14:53 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:118583
Status Flags:none
Score (*):48.9936 (normalized score 47.7368)

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.

PrimeGrid writes (27 Nov 2016):  (report abuse)
For more details, see the Official Announcement.

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_id118583
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 402539*2^7173024-1 2>&1 Resuming LLR test of 402539*2^7173024-1 at iteration 3532438 [49.24%] 402539*2^7173024-1 is prime! (2159301 decimal digits) Time : 28181.173 sec. [Elapsed time: 3.97 hours]
modified2020-07-07 22:30:17
created2014-10-02 21:21:01
id164167

Query times: 0.0002 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.