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181 · 2268299 - 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:181 · 2268299 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L138 : Soule, NewPGen, Rieselprime, LLR
Decimal Digits:80769   (log10 is 80768.3044852253)
Rank (*):47032 (digit rank is 1)
Entrance Rank (*):3332
Currently on list? (*):no
Submitted:3/28/2006 16:27:51 CDT
Last modified:3/28/2006 20:27:01 CDT
Removed (*):2/23/2007 10:00:28 CDT
Database id:77398
Status Flags:none
Score (*):38.896 (normalized score 0.005)

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_id77398
person_id9
machineLinux P4 2.8GHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 181 2 268299 -1 2>&1
[Elapsed time: 34.103 seconds]
modified2006-03-31 16:07:06
created2006-03-28 18:52:55
id83800

fieldvalue
prime_id77398
person_id9
machineWinXP P4 2.2GHz
whatprime
notesCommand: pfgw.exe -n -f -tp -q"181*2^268299-1" 2>&1
PFGW Version 1.2.0 for Windows [FFT v23.8]
Primality testing 181*2^268299-1 [N+1, Brillhart-Lehmer-Selfridge]
trial factoring to 27131267
Running N+1 test using discriminant 3, base 1+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
181*2^268299-1 is prime! (2429.3987s+0.0463s)
[Elapsed time: 2430 seconds]
modified2006-03-31 16:07:06
created2006-03-28 19:46:29
id83807

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.