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19 · 2645555 - 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:19 · 2645555 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L177 : Kwok, Rieselprime, LLR
Decimal Digits:194333   (log10 is 194332.697604462)
Rank (*):28522 (digit rank is 1)
Entrance Rank (*):332
Currently on list? (*):no
Submitted:5/21/2006 13:38:06 CDT
Last modified:7/7/2006 03:51:18 CDT
Removed (*):3/2/2011 00:18:56 CDT
Database id:77819
Status Flags:none
Score (*):41.5999 (normalized score 0.075)

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_id77819
person_id9
machineWinXP P4 2.2GHz M
whatprime
notesCommand: pfgw.exe -n -f -tp -q"19*2^645555-1" 2>&1
PFGW Version 1.2.0 for Windows [FFT v23.8]
Primality testing 19*2^645555-1 [N+1, Brillhart-Lehmer-Selfridge]
trial factoring to 69246854
Running N+1 test using discriminant 3, base 1+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
19*2^645555-1 is prime! (21582.2250s+0.0322s)
[Elapsed time: 21581 seconds]
modified2006-07-14 06:27:05
created2006-05-22 22:06:53
id84371

fieldvalue
prime_id77819
person_id9
machineGenToo P3 400MHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 19 2 645555 -1 2>&1
[Elapsed time: 10.263 seconds]
modified2006-07-14 06:27:04
created2006-07-07 03:51:08
id84663

Query times: 0.3316 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.