170656 · 5170093 - 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:170656 · 5170093 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p216 : Smith_Robert, Srsieve, SierpinskiRiesel, PRP, OpenPFGW
Decimal Digits:118896   (log10 is 118895.13706909)
Rank (*):40305 (digit rank is 1)
Entrance Rank (*):1460
Currently on list? (*):no
Submitted:1/12/2007 05:51:37 CDT
Last modified:1/12/2007 07:37:27 CDT
Removed (*):5/5/2009 22:18:01 CDT
Database id:79173
Status Flags:none
Score (*):40.0874 (normalized score 0.0135)

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 170656 5 170093 -1 2>&1 [Elapsed time: 9.078 seconds]
modified2020-07-07 17:30:42
created2007-01-12 05:52:01

machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -tp -q"170656*5^170093-1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 170656*5^170093-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+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) 789940 bit request FFT size=(49152,17) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 170656*5^170093-1 is prime! (6265.1869s+0.0216s) [Elapsed time: 6265 seconds]
modified2020-07-07 17:30:42
created2007-01-12 05:53:02

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.