29887387365 · 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:29887387365 · 2333333 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L255 : Kramer, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.70703261)
Rank (*):42326 (digit rank is 633)
Entrance Rank (*):4410
Currently on list? (*):no
Submitted:1/14/2008 09:48:27 CDT
Last modified:1/16/2008 09:46:57 CDT
Removed (*):2/24/2008 12:31:08 CDT
Database id:83562
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_id83562
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 29887387365 2 333333 -1 2>&1
[Elapsed time: 9.606 seconds]
modified2011-12-27 16:48:48
created2008-01-14 09:53:49
id96208

fieldvalue
prime_id83562
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 29887387365*2^333333-1 2>&1
Starting Lucas Lehmer Riesel prime test of 29887387365*2^333333-1
Using Zero Padded IBDWT : Mersenne fftlen = 16384, Used fftlen = 32768
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...
29887387365*2^333333-1 is prime! Time : 303.087 sec.
[Elapsed time: 5.05 minutes]
modified2008-01-21 15:18:34
created2008-01-16 09:41:54
id96447

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.