91 · 21742093 - 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:91 · 21742093 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2338 : Burt, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:524425   (log10 is 524424.20727764)
Rank (*):2765 (digit rank is 1)
Entrance Rank (*):208
Currently on list? (*):yes
Submitted:5/19/2012 00:29:08 CDT
Last modified:5/19/2012 02:20:36 CDT
Database id:107095
Status Flags:none
Score (*):44.6516 (normalized score 1.5056)

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/TrialDiv/TrialDiv -q 91 2 1742093 -1 2>&1 [Elapsed time: 10.253 seconds]
modified2020-07-07 17:30:25
created2012-05-19 00:35:01

machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 91*2^1742093-1 2>&1 Starting Lucas Lehmer Riesel prime test of 91*2^1742093-1 Using Irrational Base DWT : Mersenne fftlen = 98304, Used fftlen = 114688 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done. Starting Lucas-Lehmer loop... 91*2^1742093-1 is prime! Time : 6046.297 sec. [Elapsed time: 1.68 hours]
modified2020-07-07 17:30:25
created2012-05-19 00:38:02

Query times: 0.0018 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.