Page 111 - Numbertheory

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.6 N [Aust.MC 1994] ( )
. 648

N

16 ( ) 12 ( ) 9( ) 4 ()

x 2002 = x × y × z ×w [British SMC 2002] ( )

x 2 + y 2 + z 2 +w 2 wzy

343 ( ) 285 ( ) 203 ( ) 66 ( )

. [British SMC 1999] ( )

55552 + 66662 ( ) 10002 +1112 ( )
10012 +10022 ( ) 20002 − 9992 ( )
[Aust.MC 1975] (
qp ( p,q ) )

q | ( p 2 + p ) p | (q 2 −q )

4( ) 3( ) 2( ) 1 ()

[Aust.MC 1984] ( )

14 ( ) 7( ) 504 2 ()
1981] (
24 6( ) )

[Aust.MC

4( ) 3( ) 2( ) 1 ()

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