29006358819 · 2333333 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:29006358819 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L423 : Wullen, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.69403788)
Rank (*):43148 (digit rank is 706)
Entrance Rank (*):4508
Currently on list? (*):no
Submitted:1/14/2008 16:28:04 CDT
Last modified:1/15/2008 19:17:52 CDT
Removed (*):2/19/2008 17:53:17 CDT
Database id:83635
Status Flags:none
Score (*):39.5651 (normalized score 0.0089)

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_id83635
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 29006358819 2 333333 -1 2>&1 [Elapsed time: 9.705 seconds]
modified2020-07-07 17:30:40
created2008-01-14 16:53:00
id96316

fieldvalue
prime_id83635
person_id9
machineWinXP P4 2.2GHz M
whatprime
notesCommand: pfgw.exe -n -f -tp -q"29006358819*2^333333-1" 2>&1 PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 29006358819*2^333333-1 [N+1, Brillhart-Lehmer-Selfridge] trial factoring to 34216926 Running N+1 test using discriminant 5, base 1+sqrt(5) Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 29006358819*2^333333-1 is prime! (5714.8939s+0.0014s) [Elapsed time: 5715 seconds]
modified2020-07-07 17:30:40
created2008-01-15 17:42:37
id96374

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.