227529 - 213765 + 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:227529 - 213765 + 1
Verification status (*):Proven
Official Comment:Gaussian Mersenne norm 28
Proof-code(s): (*):O : Oakes
Decimal Digits:8288   (log10 is 8287.05475063373)
Rank (*):75887 (digit rank is 1)
Entrance Rank (*):11510
Currently on list? (*):short
Submitted:9/10/2000 06:32:30 CDT
Last modified:9/10/2000 06:32:30 CDT
Database id:19298
Status Flags:none
Score (*):31.8575 (normalized score 0)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Gaussian Mersenne norm (archivable *)
Prime on list: yes, rank 13
Subcategory: "Gaussian Mersenne norm"
(archival tag id 194480, tag last modified 2014-09-06 19:20:24)

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 Athlon 1.3GHz
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 11 Primality testing 2^27529-2^13765+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 50.00% 2^27529-2^13765+1 is prime! (17.304000 seconds)
modified2003-03-25 11:23:32
created2002-12-28 15:19:16

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.