Page 79 - Numbertheory

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32 x >8 [Aust.MC 1993] ( )

x .1 87 6 54

2522 ( ) 1681 ( ) 841 ( ) 840 ( )

3 2 x −1 : ( )
.8 7 6 5 4

. 23 × 3× 5× 7 = 840
. 840 +1 = 841 x

n [Aust.MC 1986] ( )

3( ) n +3 n2 +7

2( ) 1( ) 0 ()

:( )

n 2 + 7 = (n + 3)2 − 6n − 2

= (n + 3)2 − 6(n + 3) +16

16 n +3 n2 +7

. n = 13 n =5 n =1 . n +3

.3

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