Page 114 - Numbertheory

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11 33 ( ) 5 n ()
11 ( )
44 ( ) 4n

22 ( )

5 n :( )

4n . 4n = 22 × 510 . n = 510 11

. (2 +1)(10 +1) = 3×11 = 33

25 !+ 27! ()
17 ( )
37 ( ) 31 ( ) 19 ( )

25! + 27 ! = 25! (1+ 26× 27) :( )

= 25 ! × 703
= 25 ! ×19×37

. 37

6n n [MAC10A 2005] ( )

5( ) 1+ 2 + ... + n 2 ()

4( ) 3( )

:( )

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