450457 · 22307905 - 1
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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:450457 · 22307905 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L172 : Smith, ProthSieve, RieselSieve, LLR
Decimal Digits:694755   (log10 is 694754.285796221)
Rank (*):810 (digit rank is 1)
Entrance Rank (*):19
Currently on list? (*):short
Submitted:3/29/2006 16:51:58 CDT
Last modified:3/30/2006 09:33:22 CDT
Database id:77441
Status Flags:none
Score (*):45.5152 (normalized score 5.7077)

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.
machineGenToo P3 400MHz
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 450457 2 2307905 -1 2>&1
[Elapsed time: 55.454 seconds]
modified2006-03-31 16:07:06
created2006-03-29 16:52:03

machineLinux P4 2.8GHz
notesCommand: /home/caldwell/client/llr.pl 450457*2^2307905-1 2>&1
Starting Lucas Lehmer Riesel prime test of 450457*2^2307905-1
V1 = 4 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
450457*2^2307905-1 is prime! Time : 45614.332 sec.
[Elapsed time: 45614 seconds]
modified2006-03-31 16:07:05
created2006-03-29 20:53:06

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