Page 129 - Numbertheory

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qp ( p,q ) [Aust.MC 1975] ( )

q | ( p 2 + p ) p | (q 2 −q ) 1 ()

4() 3( ) 2( )

q p p  q (q −1) :( )

.q  p ( p +1) . p ≤q −1 p  (q −1)
q  ( p +1)
. p =q −1 . p ≥q −1 .q ≤ p +1
q =3
p =2 .3 2

. (2, 3)

[Aust.MC 1984] ( )

14 ( ) 7( ) 504 2 ()

6( )

. 504 = 23 × 32 × 7 :( )

. n = 2×7 =14 23 × 32 × 7 × n n

24 [Aust.MC 1981] ( )

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

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