22415577849 · 2333333 - 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:22415577849 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L394 : Mueller, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.5820946)
Rank (*):43377 (digit rank is 1267)
Entrance Rank (*):4279
Currently on list? (*):no
Submitted:11/2/2007 11:36:22 CDT
Last modified:11/2/2007 14:38:38 CDT
Removed (*):1/14/2008 10:40:00 CDT
Database id:82826
Status Flags:none
Score (*):39.5651 (normalized score 0.0094)

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_id82826
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 22415577849 2 333333 -1 2>&1 [Elapsed time: 9.593 seconds]
modified2020-07-07 17:30:40
created2007-11-02 11:52:01
id94767

fieldvalue
prime_id82826
person_id9
machineVista on Core 2 6700 2.66GHz
whatprime
notesCommand: pfgw.exe -n -tp -q"22415577849*2^333333-1" 2>&1 Primality testing 22415577849*2^333333-1 [N+1, Brillhart-Lehmer-Selfridge] PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N+1 test using discriminant 5, base 1+sqrt(5) N+1: 22415577849*2^333333-1 2Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 22415577849*2^333333-1 is prime! (2776.3908s+0.0007s) 25000/333369 [Elapsed time: 2776 seconds]
modified2020-07-07 17:30:40
created2007-11-02 13:52:21
id94769

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.