29478910335 · 2333333 - 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:29478910335 · 2333333 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L522 : Walker1, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.70105609)
Rank (*):42375 (digit rank is 671)
Entrance Rank (*):4299
Currently on list? (*):no
Submitted:12/26/2007 10:44:56 CDT
Last modified:12/27/2007 05:22:35 CDT
Removed (*):2/23/2008 09:05:13 CDT
Database id:83409
Status Flags:none
Score (*):39.5651 (normalized score 0.01)

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_id83409
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 29478910335 2 333333 -1 2>&1
[Elapsed time: 9.347 seconds]
modified2011-12-27 16:48:48
created2007-12-26 10:52:11
id95930

fieldvalue
prime_id83409
person_id9
machineWinXP P4 2.2GHz M
whatprime
notesCommand: pfgw.exe -n -f -tp -q"29478910335*2^333333-1" 2>&1
PFGW Version 1.2.0 for Windows [FFT v23.8]
Primality testing 29478910335*2^333333-1 [N+1, Brillhart-Lehmer-Selfridge]
trial factoring to 34216926
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling Brillhart-Lehmer-Selfridge with factored part 99.99%
29478910335*2^333333-1 is prime! (5102.0952s+0.0345s)
[Elapsed time: 5102 seconds]
modified2011-12-27 16:48:48
created2007-12-27 03:57:33
id95937

Query times: 0.0008 seconds to select prime, 0.0007 seconds to seek comments.