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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

329.0. "Nice and Easy" by TAV02::NITSAN () Tue Aug 27 1985 09:02

 P is a prime number, bigger than 3. Prove that P**2-1 divided by 24.
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329.1METOO::YARBROUGHTue Aug 27 1985 09:368
Since all primes > 3 are of the form 6n{+-}1, p^2 is 36n^2{+-}12n+1, so
p^2-1 = 12n*(3n{+-}1). Since one of <n,3n{+-}1> is even, this is divisible
by 24.

Is there a plus-or-minus character in the alternate set? Any one know how
to evoke it?

Lynn Yarbrough
329.2TOROID::MCKINLEYTue Aug 27 1985 10:048
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The {+-} character is decimal 177 in the DEC multinational character set.
Hit the symbol key, then + then - on the LK201 keyboard.

---Phil
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