28472497701 · 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.

This prime's information:

Description:28472497701 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L285 : Arenz, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.68597023)
Rank (*):49086 (digit rank is 749)
Entrance Rank (*):4461
Currently on list? (*):no
Submitted:1/14/2008 15:43:17 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):2/17/2008 17:09:14 UTC
Database id:83552
Status Flags:none
Score (*):39.5651 (normalized score 0.0045)

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_id83552
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 28472497701 2 333333 -1 2>&1 [Elapsed time: 9.645 seconds]
modified2020-07-07 22:30:40
created2008-01-14 15:55:35
id96219

fieldvalue
prime_id83552
person_id9
machineVista on Core 2 6700 2.66GHz
whatprime
notesCommand: pfgw.exe -n -tp -q"28472497701*2^333333-1" 2>&1 Primality testing 28472497701*2^333333-1 [N+1, Brillhart-Lehmer-Selfridge] PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N+1 test using discriminant 13, base 1+sqrt(13) N+1: 28472497701*2^333333-1 22250Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 28472497701*2^333333-1 is prime! (2673.1113s+0.0007s) 0/333369 [Elapsed time: 2673 seconds]
modified2020-07-07 22:30:40
created2008-01-14 23:54:15
id96323

Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
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