23149162311 · 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:23149162311 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L392 : Rodenkirk, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.59607994)
Rank (*):44913 (digit rank is 1203)
Entrance Rank (*):4241
Currently on list? (*):no
Submitted:11/3/2007 15:35:30 CDT
Last modified:11/3/2007 19:40:37 CDT
Removed (*):1/14/2008 16:28:06 CDT
Database id:82847
Status Flags:none
Score (*):39.5651 (normalized score 0.0075)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 23149162311 2 333333 -1 2>&1 [Elapsed time: 9.371 seconds]
modified2020-07-07 17:30:40
created2007-11-03 15:52:01

machineWinXP P4 2.2GHz M
notesCommand: pfgw.exe -n -f -tp -q"23149162311*2^333333-1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 23149162311*2^333333-1 [N+1, Brillhart-Lehmer-Selfridge] trial factoring to 34216926 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 23149162311*2^333333-1 is prime! (4845.9674s+0.0340s) [Elapsed time: 4846 seconds]
modified2020-07-07 17:30:40
created2007-11-03 18:19:51

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.