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61 · 21487125 - 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:61 · 21487125 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1828 : Benson, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:447672   (log10 is 447671.01763163)
Rank (*):5170 (digit rank is 1)
Entrance Rank (*):158
Currently on list? (*):no
Submitted:3/2/2011 05:47:00 CDT
Last modified:3/2/2011 06:50:22 CDT
Removed (*):3/30/2020 10:40:49 CDT
Database id:98993
Status Flags:none
Score (*):44.1655 (normalized score 0.9762)

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_id98993
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 61 2 1487125 -1 2>&1
[Elapsed time: 10.442 seconds]
modified2011-12-27 16:48:34
created2011-03-02 05:48:01
id127376

fieldvalue
prime_id98993
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/llr.pl 61*2^1487125-1 2>&1
Starting Lucas Lehmer Riesel prime test of 61*2^1487125-1
Using Irrational Base DWT : Mersenne fftlen = 81920, Used fftlen = 98304
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop...


61*2^1487125-1 is prime! Time : 2702.728 sec.
[Elapsed time: 46.60 minutes]
modified2011-03-25 10:27:29
created2011-03-02 05:52:45
id127377

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.