3 · 26090515 - 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.

Description:3 · 26090515 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1353 : Mumper, Srsieve, PrimeGrid, LLR
Decimal Digits:1833429   (log10 is 1833428.1811627)
Rank (*):186 (digit rank is 1)
Entrance Rank (*):17
Currently on list? (*):short
Submitted:4/25/2010 22:07:26 CDT
Last modified:4/26/2010 15:12:48 CDT
Database id:92517
Status Flags:none
Score (*):48.4921 (normalized score 58.2446)

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.

John Michael Blazek writes (11 Sep 2014):  (report abuse)
Official announcement on the discovery and decimal representation of the prime.

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 3*2^6090515-1 2>&1 Starting Lucas Lehmer Riesel prime test of 3*2^6090515-1 Using Irrational Base DWT : Mersenne fftlen = 327680, Used fftlen = 327680 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done. Starting Lucas-Lehmer loop... 3*2^6090515-1 is prime! Time : 61486.513 sec. [Elapsed time: 17.08 hours]
modified2020-07-07 17:30:35
created2010-04-25 22:08:01

machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 3 2 6090515 -1 2>&1 [Elapsed time: 11.507 seconds]
modified2020-07-07 17:30:35
created2010-04-25 22:18:01

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.