🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: be.science
Article #14828

Searching PALINDROMIC numbers

#14828
From: Patrick De Geest
Date: Tue, 17 Dec 1996 00:00
49 lines
2632 bytes
I'm always looking for all sorts of information about palindromic
numbers. I devoted a whole website to these fascinating and beautiful
numbers. Palindromic numbers are numbers that read the same from 'left
to right' as from 'right to left'. To get an idea of what I'm interested
in, please feel free to skim through my webpages. You will find the URL
address at the end of this letter. Actually, my attention focuses almost
entirely on finding the next larger palindromic number. That number can
be for instance a square, a triangular, a tetrahedral, a cube, a
pentagonal etc. Here's a list of what I achieved so far :

Recordholder(?) for palindromic squares with NONpalindromic base
(sometimes
called 'root')

        ( 40.447.213.778.058.769 ) ^ 2 =
        1.635.977.102.407.987.117.897.042.017.795.361 [length 34]

Recordholder(?) for palindromic cubes with NONpalindromic base

        ( 2.201 ) ^ 3 =
        10.662.526.601 [length 11]

Recordholder(?) for palindromic triangulars. Function = (b*b+b)/2
                (Note that the base is also palindromic !)

        Function( 3.654.345.456.545.434.563 ) =
        6.677.120.357.887.130.286.820.317.887.530.217.766 [length 37]

Recordholder(?) for palindromic tetrahedrals; Function =
(b*(b+1)*(b+2))/6

        Function( 336 ) =
        6.378.736 [length 7]

If you happen to know of similar basenumbers that are larger than the
ones above, please let me know your source.
Better still, if you think you can calculate or program larger ones
(this must be a piece of cake for programmers of supercomputers but
pentium_ers are also welcome), I'll be much obliged when receiving the
results in due time. Your name will be eternized (or is it eternalized)
next to the recordnumber through my website. Any interest ?

-- 
Patrick De Geest  [mailto:Patrick.DeGeest@ping.be]
---------------------------------------------------
The essence of all things is the number.
URL : http://www.ping.be/~ping6758/index.html
---------------------------------------------------
Technical Details
Message-ID: <32B60C7B.363F@ping.be>
Path: arc1-ca.pugleaf.net!unknown!not-for-mail

Show Full Headers
Complete Article Headers
X-Google-Language: ENGLISH,ASCII-7-bit
X-Google-Thread: f5500,a8c356a5db9baf52,start
X-Google-Attributes: gidf5500,public
X-Google-Thread: f7e01,a8c356a5db9baf52,start
X-Google-Attributes: gidf7e01,public
From: Patrick De Geest <Patrick.DeGeest@ping.be>
Subject: Searching PALINDROMIC numbers
Date: 1996/12/17
Message-ID: <32B60C7B.363F@ping.be>
X-Deja-AN: 204478012
content-type: text/plain; charset=us-ascii
organization: EUnet Belgium, Leuven, Belgium
mime-version: 1.0
newsgroups: be.science,nl.wetenschap
x-mailer: Mozilla 3.0 (Win95; I)