19581121 · 21303821 - 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:19581121 · 21303821 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):p49 : Berg, OpenPFGW
Decimal Digits:392497   (log10 is 392496.52181416)
Rank (*):4891 (digit rank is 1)
Entrance Rank (*):159
Currently on list? (*):yes
Submitted:7/9/2009 17:12:25 CDT
Last modified:7/9/2009 19:20:19 CDT
Database id:89214
Status Flags:none
Score (*):43.7613 (normalized score 1.021)

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_id89214
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 19581121 2 1303821 -1 2>&1
[Elapsed time: 10.565 seconds]
modified2011-12-27 16:48:43
created2009-07-09 17:18:02
id107794

fieldvalue
prime_id89214
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 19581121*2^1303821-1 2>&1
Starting Lucas Lehmer Riesel prime test of 19581121*2^1303821-1
Using Zero Padded IBDWT : Mersenne fftlen = 65536, Used fftlen = 131072
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.
Starting Lucas-Lehmer loop...

19581121*2^1303821-1 is prime! Time : 5398.250 sec.
[Elapsed time: 89.98 minutes]
modified2009-07-10 15:55:50
created2009-07-09 17:23:01
id107796

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.