105782 · 5551766 - 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.

This prime's information:

Description:105782 · 5551766 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p306 : Poulter, Srsieve, SierpinskiRiesel, OpenPFGW
Decimal Digits:385673   (log10 is 385672.90782424)
Rank (*):17755 (digit rank is 1)
Entrance Rank (*):224
Currently on list? (*):no
Submitted:12/29/2010 18:43:54 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):8/8/2015 03:55:51 UTC
Database id:97162
Status Flags:none
Score (*):43.7074 (normalized score 0.2862)

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_id97162
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 105782 5 551766 -1 2>&1 [Elapsed time: 10.247 seconds]
modified2020-07-07 22:30:32
created2010-12-29 18:48:01
id123714

fieldvalue
prime_id97162
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -tp -q"105782*5^551766-1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 105782*5^551766-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 105782*5^551766-1 is prime! (-201.0178s+0.1500s) [Elapsed time: 28.88 hours]
modified2020-07-07 22:30:32
created2010-12-29 18:53:01
id123715

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
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