104444 · 5144912 - 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:104444 · 5144912 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p214 : Bird, Srsieve, SierpinskiRiesel, PRP, OpenPFGW
Decimal Digits:101295   (log10 is 101294.16015184)
Rank (*):43115 (digit rank is 1)
Entrance Rank (*):2549
Currently on list? (*):no
Submitted:11/18/2006 11:48:41 CDT
Last modified:11/18/2006 13:20:55 CDT
Removed (*):6/20/2008 15:12:21 CDT
Database id:78869
Status Flags:none
Score (*):39.5939 (normalized score 0.008)

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_id78869
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 104444 5 144912 -1 2>&1 [Elapsed time: 8.815 seconds]
modified2020-07-07 17:30:42
created2006-11-18 11:52:01
id86837

fieldvalue
prime_id78869
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -tp -q"104444*5^144912-1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 104444*5^144912-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 5+sqrt(3) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(49152,20) to FFT(49152,19) Reduced from FFT(49152,19) to FFT(49152,18) Reduced from FFT(49152,18) to FFT(49152,17) Reduced from FFT(49152,17) to FFT(49152,16) 673000 bit request FFT size=(49152,16) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 104444*5^144912-1 is prime! (5273.8256s+0.0169s) [Elapsed time: 5274 seconds]
modified2020-07-07 17:30:42
created2006-11-18 11:53:01
id86838

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.