41197 · 2659157 - 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:41197 · 2659157 - 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p260 : Harvey, Gcwsieve, MultiSieve, GenWoodall, OpenPFGW
Decimal Digits:198431   (log10 is 198430.64371747)
Rank (*):29668 (digit rank is 1)
Entrance Rank (*):1757
Currently on list? (*):no
Submitted:2/1/2010 14:57:49 CDT
Last modified:2/1/2010 17:50:30 CDT
Removed (*):4/12/2011 09:02:20 CDT
Database id:91626
Status Flags:none
Score (*):41.6641 (normalized score 0.063)

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.

Steven Harvey writes (11 Sep 2014):  (report abuse)
659152*2^659153-1 Near Woodall

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_id91626
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 41197 2 659157 -1 2>&1 [Elapsed time: 10.079 seconds]
modified2020-07-07 17:30:36
created2010-02-01 15:05:12
id112623

fieldvalue
prime_id91626
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 41197*2^659157-1 2>&1 Starting Lucas Lehmer Riesel prime test of 41197*2^659157-1 Using Irrational Base DWT : Mersenne fftlen = 32768, Used fftlen = 57344 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done. Starting Lucas-Lehmer loop... 41197*2^659157-1 is prime! Time : 1112.794 sec. [Elapsed time: 18.55 minutes]
modified2020-07-07 17:30:36
created2010-02-01 17:17:03
id112631

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
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