Page 122 - Numbertheory

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n

. n = 7 × 5× 73 = 2555
. 2 + 5 + 5 + 5 = 17

9 + 2n−4 4n ()

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

. m 9 + 2n−4 = m 2 : ()

2 . 2n−4 = m 2 − 9 = (m − 3) (m + 3)

.n =8 .n −4 = 4 m +3 m −3

.m =5
. 2n−4 = 16 = 24

17 p +1 p ()
0 ()
3() 2( ) 1( )

.m 17p +1 = m 2 :( )
.( m +1 = 17
.17 p = m 2 −1 = (m −1)(m +1)

m −1= p ) ( m −1 = 17 m +1 = p )

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