(2248949 - 1)2 - 2
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The hardware and software on this system was updated September 4th.  Please let me know of any problem you encounter. <caldwell@utm.edu>

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:(2248949 - 1)2 - 2
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):p191 : Rosink, MultiSieve, OpenPFGW
Decimal Digits:149883   (log10 is 149882.232781105)
Rank (*):26850 (digit rank is 1)
Entrance Rank (*):552
Currently on list? (*):no
Submitted:3/28/2006 11:18:11 CDT
Last modified:3/29/2006 16:54:21 CDT
Removed (*):4/14/2010 12:44:35 CDT
Database id:77385
Status Flags:none
Score (*):40.8005 (normalized score 0.0706)

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_id77385
person_id9
machineWinXP Pentium M 1.7GHz
whatprime
notesCommand: pfgw.exe -n -tc -q"(2^248949-1)^2-2" 2>&1
PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Running N-1 test using base 11
Primality testing (2^248949-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 17, base 1+sqrt(17)
Running N+1 test using discriminant 17, base 2+sqrt(17)
Running N+1 test using discriminant 17, base 3+sqrt(17)
N+1: (2^248949-1)^2-2 460000/4Calling N+1 BLS with factored part 50.08% and helper 0.00% (150.23% proof)
(2^248949-1)^2-2 is prime! (100261.9571s+0.1037s)
97899
[Elapsed time: 100257 seconds]
modified2006-03-31 16:07:06
created2006-03-28 13:03:19
id83781

fieldvalue
prime_id77385
person_id9
machineLinux P4 2.8GHz
whattrial_divided
notesCommand: /home/caldwell/client/pfgw -o -f -q"(2^248949-1)^2-2" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
trial factoring to 52502463
(2^248949-1)^2-2 has no small factor.
[Elapsed time: 2114.367 seconds]
modified2006-03-31 16:07:06
created2006-03-28 18:12:11
id83790

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.