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From: Dr John Stockton <jrs@merlyn.demon.co.uk>
Subject: Re: Results of my test: Re: Friday 13th, try it yourself
Date: 1996/09/26
Date: 1996-09-26T00:00:00+00:00	[thread overview]
Message-ID: <5bxuvOAdKcSyEwne@merlyn.demon.co.uk> (raw)
In-Reply-To: 52bmft$f3l@news1.halcyon.com


In article <Pine.SOL.3.91.960925162108.6568A-100000@serv1.jump.net> of
Wed, 25 Sep 1996 16:25:19 in comp.lang.pascal.misc, Lee Crites
<adonai@jump.net> wrote:
>
>For the most part, I've ignored this friday the 13th thread.  However,
>something someone said got my interest.  Basically the statement was that
>the same date 400 years later would fall on the same day.  I thought I'd
>check it out and see.  Unfortunately, it did not work on the dates I
>checked. 

SNIP


Too complex.  Just consider 400 years
        400 * 365       Taking all years as ordinary
            + 100       but every fourth is leap
            -   4       apart from the centuries
            +   1       except for every fourth.
        =========
           146097 ;
   * 1/7 => 20871.0 = integer weeks in 400 years.

The calendar therefore repeats every 400 years.

This calculation can be done in one's head, without even a calculator.

In 400 years there are 4800 months each containing one 13th.  Some are
Sunday, some ... ...Saturday; but 4800/7 is not an integer, so the 13ths
cannot be evenly distributed among the days of the week.

I think it is now necessary to do a little real work; there are 14 types
of year (Leap or not, starting Sun .. Sat), and the number of each type
in 400 years can be counted; and each type contributes a certain number
of 13ths.

It might be easier to consider the year as starting on March 1st; there
are now only 7 types of year for 13th-counting.
-- 
John Stockton, Surrey, UK.  JRS@merlyn.demon.co.uk  Turnpike v1.12  MIME
    http://www.merlyn.demon.co.uk/




  parent reply	other threads:[~1996-09-26  0:00 UTC|newest]

Thread overview: 66+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
1996-09-13  0:00 language wars (results 13 September) last posting Roy Gardiner
1996-09-13  0:00 ` William Clodius
1996-09-13  0:00   ` Peter Seebach
1996-09-21  0:00     ` Robert Dewar
1996-09-21  0:00     ` Robert Dewar
1996-09-16  0:00   ` Robert Fahey
1996-09-18  0:00 ` James Giles
1996-09-18  0:00 ` Andrew Gierth
1996-09-18  0:00 ` Luke Chao
1996-09-18  0:00 ` James Giles
1996-09-18  0:00 ` Norman H. Cohen
1996-09-19  0:00 ` Andrew Gierth
1996-09-19  0:00 ` Daniel J. Long
1996-09-21  0:00   ` Ken Pizzini
1996-09-21  0:00   ` Ken Pizzini
1996-09-24  0:00     ` Art Schwarz
1996-09-26  0:00       ` Matthew D. Healy
1996-09-29  0:00         ` Randy MacDonald
1996-10-03  0:00           ` galina.kasminskaya
1996-10-03  0:00             ` Dave Tholen
1996-09-26  0:00       ` Ken Pizzini
1996-09-29  0:00         ` Paul Gilmartin
1996-09-19  0:00 ` Norman H. Cohen
1996-09-20  0:00 ` John Girash
1996-09-20  0:00   ` John Girash
1996-09-20  0:00 ` Friday 13th, try it yourself (was Language Wars..) Clinton Pierce
1996-09-21  0:00   ` Russell Mosemann
1996-09-21  0:00   ` Russell Mosemann
1996-09-25  0:00     ` Ken Pizzini
1996-09-25  0:00       ` Results of my test: Re: Friday 13th, try it yourself Lee Crites
1996-09-25  0:00         ` William Clodius
1996-09-27  0:00         ` Dik T. Winter
     [not found]           ` <52qpqt$1b3l@ilx018.iil.intel.com>
1996-10-02  0:00             ` Dik T. Winter
1996-10-02  0:00             ` Ken Pizzini
1996-09-26  0:00       ` Dr John Stockton [this message]
1996-09-26  0:00         ` Lee Crites
1996-09-26  0:00           ` John Winters
1996-09-26  0:00           ` Daan Sandee
1996-09-26  0:00             ` Jeff Drummond
1996-09-30  0:00               ` Ray Dunn
1996-09-26  0:00           ` Adam Beneschan
1996-09-27  0:00             ` Glen Clark
1996-09-27  0:00           ` CHI Research, Inc. 
1996-09-27  0:00             ` Lee Crites
1996-09-28  0:00               ` John Winters
1996-09-30  0:00               ` Adam Beneschan
1996-10-01  0:00             ` Mike McCarty
1996-09-26  0:00         ` Dr John Stockton
     [not found]         ` <199609302101.JAA04610@kauri.vuw.ac.nz>
1996-09-30  0:00           ` Lee Crites
1996-09-25  0:00     ` Friday 13th, try it yourself (was Language Wars..) Barrie Walker
1996-09-26  0:00       ` Jim Shapiro
1996-09-23  0:00   ` Matthew D. Healy
1996-09-23  0:00     ` Dik T. Winter
1996-09-25  0:00     ` Paul Gilmartin
1996-09-22  0:00 ` Dr John Stockton
1996-09-23  0:00 ` Dr John Stockton
1996-09-23  0:00 ` Randy MacDonald
1996-09-23  0:00   ` Dik T. Winter
1996-09-25  0:00   ` John Harper
1996-09-25  0:00     ` jupiter
1996-09-24  0:00 ` language wars (results 13 September) last posting Andrew Gierth
1996-09-24  0:00   ` Art Schwarz
  -- strict thread matches above, loose matches on Subject: below --
1996-10-03  0:00 Results of my test: Re: Friday 13th, try it yourself James Gillespie
1996-10-03  0:00 ` Paul Skoczylas
1996-10-03  0:00 ` Daan Sandee
1996-10-03  0:00 ` Dr John Stockton
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