48047305725 · 2172403 - 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:48047305725 · 2172403 - 1
Verification status (*):Proven
Official Comment:Sophie Germain (p)
Proof-code(s): (*):L99 : Underbakke, TwinGen, LLR
Decimal Digits:51910   (log10 is 51909.156011497)
Rank (*):45891 (digit rank is 2)
Entrance Rank (*):11525
Currently on list? (*):short
Submitted:1/25/2007 08:21:41 CDT
Last modified:1/25/2007 08:56:33 CDT
Database id:79261
Status Flags:none
Score (*):37.5326 (normalized score 0.0026)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Sophie Germain (p) (archivable *)
Prime on list: yes, rank 6
Subcategory: "Sophie Germain (p)"
(archival tag id 189914, tag last modified 2012-04-11 10:50:29)

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_id79261
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 48047305725 2 172403 -1 2>&1
[Elapsed time: 9.178 seconds]
modified2007-03-03 21:00:42
created2007-01-25 08:22:11
id87629

fieldvalue
prime_id79261
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 48047305725*2^172403-1 2>&1
Starting Lucas Lehmer Riesel prime test of 48047305725*2^172403-1
V1 = 5 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
48047305725*2^172403-1 is prime! Time: 262.491 sec.
[Elapsed time: 262 seconds]
modified2007-03-03 21:00:42
created2007-01-25 08:52:11
id87631

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.