EBE
解
o § !
§
2x+|
= 7687-4) Rio 769
=
X
對任意正整数n,20*1+3x5** 必為某一正整数P的倍數,已如P是二位數,試求
出P值並證明之。
§ f(n) = 230+1 + 3x6 21 + 1
Š na led, $(1) = 2341414 3 x 5
+3x5
= 16+3x125= 16+325
= 17x2
e a n = 207, f(2)= 2² + 3x55 = 178459
to JP=17
&
n=18$, f(1) = 2371443x53414
17x23
3 nakt t
Tap f()=23k+1+34 92k+! = 174CEEN)
而(b= +3x
2k
aj n=k+15
FICH) = 73k+ 4 143
23kt 2²43 x 7 2kt &*
17=32*4345*41) 151 x3241
(
-
kz !
十
8x 17+ + 17x 3 x 2641
T = 17 ( 8t + 3 x 92/41)
+3x5 24+3
X
TTIP n=kti ats
教學部去得證
4
!
