Page 44 - Numbertheory

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232 + 1 ( )
)
641 ( ) 257 ( ) 101 ( ) 97 ( )

gcd(a, b ) = 1 cba (

gcd(a, c ) c a +b

c( ) a( ) 2( ) 1 ()

N [Aust.MCӨ 2002] ( )

N 273437 13 N 272758

11 ( ) 10 ( ) N .17 6 ()
9( )

6 983 + 532 [MAӨ 2009] ( )

5( ) 4( ) 3( ) 2 ()
[AMC10B 2002] ( )
N 2554 × 6425 = N 2

N

28 ( ) 21 ( ) 14 ( ) 7 ()
P [Aust.MC 2002] ( )
SQ 2002 )
RP Q . 18
2002 ( )
180 ( ) S .R
1+1+1 + 1 18 ( ) 9 ()
237n n( )
n > 34 ( ) n [AMC10B 2002] (
3
.
2 n ()

n < 21( )

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