Page 127 - Numbertheory

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3k 12! k ()
2 ()
5( ) 4( ) 3( )

12! : ( )

12! = 12×11×10× 9×8× 7× 6× 5× 4×3× 2

= 210 × 35 × 52 × 7 ×11

. k =5

3 3 12! :

.3 9

.3+ 2 = 5 3

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

16 ( ) 12 ( ) N 4 ()

9( )

N = p5 6 =1× 6 = 2×3 :( )

. qp N = pq 2

1, p , p 2, p 3, p 4, p 5 N = p5

. pk

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