9094283341425 · 2666669 - 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:9094283341425 · 2666669 - 1
Verification status (*):Proven
Official Comment:Arithmetic progression (3,d=32289415560495*2^666666)
Proof-code(s): (*):p199 : Broadhurst, NewPGen, OpenPFGW
Decimal Digits:200701   (log10 is 200700.32494779)
Rank (*):17052 (digit rank is 2)
Entrance Rank (*):2923
Currently on list? (*):short
Submitted:3/1/2011 01:59:00 CDT
Last modified:3/1/2011 02:50:22 CDT
Database id:98974
Status Flags:none
Score (*):41.6991 (normalized score 0.17)

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.
Arithmetic Progressions of Primes (archivable class *)
Prime on list: yes, rank 1, weight 48.7751084743324
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 213149, tag last modified 2012-02-13 15:51:05)

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_id98974
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 9094283341425 2 666669 -1 2>&1
[Elapsed time: 9.805 seconds]
modified2011-12-27 16:48:34
created2011-03-01 02:05:01
id127338

fieldvalue
prime_id98974
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 9094283341425*2^666669-1 2>&1
Starting Lucas Lehmer Riesel prime test of 9094283341425*2^666669-1
Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 65536
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

9094283341425*2^666669-1 is prime! Time : 1286.830 sec.
[Elapsed time: 21.45 minutes]
modified2011-03-25 10:27:29
created2011-03-01 02:08:02
id127339

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.