2279 · 2532839 + 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:2279 · 2532839 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1229 : Gordon1, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:160404   (log10 is 160403.87960393)
Rank (*):32980 (digit rank is 1)
Entrance Rank (*):4571
Currently on list? (*):no
Submitted:7/27/2010 16:11:37 CDT
Last modified:7/27/2010 17:20:22 CDT
Removed (*):8/18/2010 22:11:03 CDT
Database id:93784
Status Flags:none
Score (*):41.0094 (normalized score 0.0418)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 2279 2 532839 1 2>&1
[Elapsed time: 9.585 seconds]
modified2011-12-27 16:48:38
created2010-07-27 16:18:31

machineWinXP Dual Core 2.6GHz Laptop
notesCommand: pfgw.exe -n -t -q"2279*2^532839+1" 2>&1
PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Running N-1 test using base 3
N-1: 2279*2^5Primality testing 2279*2^532839+1 [N-1, Brillhart-Lehmer-Selfridge]
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
2279*2^532839+1 is prime! (952.5916s+0.0048s)
32839+1[Elapsed time: 953 seconds]
modified2011-12-27 16:48:38
created2010-07-27 16:56:07

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.