Page 124 - Numbertheory

@ @@Hßìÿaö§aI@†a‡Èÿa@óî‹Åä@

. q −1 p −1 qp
k +1 = ( p −1) (q −1)
p −1 . 4, 6,10,12,16 q −1

: k +1

24, 40, 48, 60, 64, 72, 96, 120, 160, 192

:k

23, 39, 47, 59, 63, 71, 95, 119, 159, 191

. 119

. p +q pq qp :

. () . pq − ( p + q )

. 17 13 qp

. ( ) 13×17 − (13 +17) = 191

5× 7 − (5 + 7) = 23 .7 5 q p

.( ) . ( )

48 ( ) 9n 25 ( ) ()
17 ( )
n2

42 ( )

p8 n :( )

. qp p 2q 2

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