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181 · 2458303 - 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 · 2458303 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L145 : Minovic, Ksieve, NewPGen, Rieselprime, LLR
Decimal Digits:137966   (log10 is 137965.207781364)
Rank (*):36757 (digit rank is 1)
Entrance Rank (*):677
Currently on list? (*):no
Submitted:5/21/2006 22:47:35 CDT
Last modified:7/7/2006 04:21:48 CDT
Removed (*):10/8/2009 15:30:58 CDT
Database id:77823
Status Flags:none
Score (*):40.5455 (normalized score 0.0261)

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_id77823
person_id9
machineWinXP P4 2.2GHz HP
whatprime
notesCommand: pfgw.exe -n -f -tp -q"181*2^458303-1" 2>&1
PFGW Version 1.2.0 for Windows [FFT v23.8]
Primality testing 181*2^458303-1 [N+1, Brillhart-Lehmer-Selfridge]
trial factoring to 48062288
Running N+1 test using discriminant 3, base 1+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
181*2^458303-1 is prime! (9690.4024s+0.0012s)
[Elapsed time: 9690 seconds]
modified2006-07-14 06:27:05
created2006-05-22 21:32:10
id84369

fieldvalue
prime_id77823
person_id9
machineGenToo P3 400MHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 181 2 458303 -1 2>&1
[Elapsed time: 10.005 seconds]
modified2006-07-14 06:27:04
created2006-07-07 04:21:38
id84714

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.