3 · 211895718 - 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:3 · 211895718 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4159 : Schulz5, Srsieve, PrimeGrid, LLR
Decimal Digits:3580969   (log10 is 3580968.4150812)
Rank (*):72 (digit rank is 1)
Entrance Rank (*):12
Currently on list? (*):short
Submitted:6/26/2015 13:04:58 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:120038
Status Flags:none
Score (*):50.5434 (normalized score 309.4689)

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/llr.pl 3*2^11895718-1 2>&1 Starting Lucas Lehmer Riesel prime test of 3*2^11895718-1 Using AVX FFT length 640K, Pass1=512, Pass2=1280 V1 = 17 ; Computing U0... V1 = 17 ; Computing U0...done.Starting Lucas-Lehmer loop... 3*2^11895718-1 is prime! (3580969 decimal digits) Time : 39520.613 sec. [Elapsed time: 10.98 hours]
modified2020-07-07 22:30:17
created2015-06-26 13:11:01

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