179 · 2236856 - 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:179 · 2236856 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L138 : Soule, NewPGen, Rieselprime, LLR
Decimal Digits:71304   (log10 is 71303.013506019)
Rank (*):54775 (digit rank is 1)
Entrance Rank (*):4313
Currently on list? (*):no
Submitted:3/22/2006 17:45:25 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):7/17/2006 08:45:27 UTC
Database id:77368
Status Flags:none
Score (*):38.5118 (normalized score 0.0015)

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_id77368
person_id9
machineWinXP P4 2.2GHz By K
whatprime
notesCommand: pfgw.exe -n -f -tp -q"179*2^236856-1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 179*2^236856-1 [N+1, Brillhart-Lehmer-Selfridge] trial factoring to 23745064 Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 179*2^236856-1 is prime! (1697.4521s+0.0479s) [Elapsed time: 1699 seconds]
modified2020-07-07 22:30:42
created2006-03-25 17:22:56
id83745

fieldvalue
prime_id77368
person_id9
machineLinux P4 2.8GHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 179 2 236856 -1 2>&1 [Elapsed time: 11.881 seconds]
modified2020-07-07 22:30:42
created2006-03-25 17:27:20
id83749

Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
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