Page 117 - Numbertheory

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cba a2 +b2 = c2 [MAӨ 2005] ( )

36 ( ) 29 ( ) (c + b ) (c −b )

21 ( ) 17 ( )

(c + b )(c −b ) = c 2 −b 2 = a2 :( )

. .
.( )
36

50 n ()
7 ()
15 ( ) 13 ( ) 4

9( )

n = p α1 p α 2 ... p αt n :( )
1 2 t

n = p13 4 = 1× 4 = 2× 2 . pi

50 n . n = p1p2

23 = 8, 33 = 27, 2 × 3 = 6

2× 5 = 10, 2× 7 = 14, 2×11 = 22

2×13 = 26, 2 ×17 = 34, 2 ×19 = 38

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