28524359841 · 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:28524359841 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L247 : Timbrell, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.68676057)
Rank (*):42947 (digit rank is 744)
Entrance Rank (*):4550
Currently on list? (*):no
Submitted:1/14/2008 18:59:35 CDT
Last modified:1/14/2008 20:07:53 CDT
Removed (*):2/17/2008 11:48:34 CDT
Database id:83646
Status Flags:none
Score (*):39.5651 (normalized score 0.0093)

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_id83646
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 28524359841 2 333333 -1 2>&1 [Elapsed time: 9.466 seconds]
modified2020-07-07 17:30:40
created2008-01-14 19:22:50
id96335

fieldvalue
prime_id83646
person_id9
machineVista on Core 2 6700 2.66GHz
whatprime
notesCommand: pfgw.exe -n -tp -q"28524359841*2^333333-1" 2>&1 Primality testing 28524359841*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 7, base 1+sqrt(7) N+1: 28524359841*2^333333-1 222500/Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 28524359841*2^333333-1 is prime! (2672.8072s+0.0007s) 333369 [Elapsed time: 2673 seconds]
modified2020-07-07 17:30:40
created2008-01-14 19:23:20
id96336

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.