8433 · 21221721 + 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:8433 · 21221721 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3262 : Molder, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:367779   (log10 is 367778.59331469)
Rank (*):11088 (digit rank is 1)
Entrance Rank (*):3164
Currently on list? (*):no
Submitted:2/14/2014 06:52:45 CDT
Last modified:2/14/2014 08:22:11 CDT
Removed (*):2/3/2015 07:23:17 CDT
Database id:117165
Status Flags:TrialDiv
Score (*):43.5614 (normalized score 0.6346)

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.
machineWinXP Dual Core 2.6GHz 32-bit
notesCommand: pfgw32.exe -t -q"8433*2^1221721+1" 2>&1
PFGW Version [GWNUM 27.8]
Primality testing 8433*2^1221721+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
8433*2^1221721+1 is prime! (2806.0307s+0.0429s)
[Elapsed time: 2806 seconds]
modified2014-04-01 17:37:38
created2014-02-14 07:33:51

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