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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

2047.0. "Problems for 1996" by AUSS::GARSON (achtentachtig kacheltjes) Sun May 19 1996 22:33

    Show that the sum of any 1996 consecutive integers cannot be a power of
    an integer with exponent greater than one.
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2047.1IOSG::CARLINDick Carlin IOSG, Reading, EnglandMon May 20 1996 09:5112
    Sum of a ... a+1995 is
    
    	998(2a+1995)
    
    =	2 * 499 * (2a+1995)
    
    This has a factor of 2, with exponent 1 only.
    
    Dick
    
    I've left out a step which is "obvious" but not entirely trivial to
    prove (p|x^n -> p|x).