Download - ijcer

International Journal of Computational Engineering Research||Vol, 03||Issue, 5||
10. 3t n t n T h a 2 n 1
8, 2 2 0 , 2
Proof
n
n
n
n
n 3t t n 2 1 n 2 1
8, 2 2 0 , 2
n 3t n t n cu l
8 , 2 2 0 , 2
n w o n
2 n
3t
n t n 3 2
8, 2 2 0 , 2
11.
t n t n
ja l2n
2
4 2 1
1 2 , 2 2 0 , 2
Proof
4 2t
n t n
1 2 , 2 2 0 , 2
12. The following is a Nasty number
a) t 2 0 , t 8 , 6 n
n
Proof
T h a 2 n 1
2
4 2 n
t n t n
ja l2n
2
4 2 1
1 2 , 2 2 0 , 2
b) 6 t 3t 3n
Proof
n
5 8, n 2 0 , n
t 2 2
2 0 , n t 8, n 9 n 8 n 3 n 2 n
2
6n
6n
t 2 2
5 8, n 3t 2 0 , n 2 8 n 2 7 n 2 7 n 2 4 n
t 2
5 8, n 3t 2 0 , n 3n
n
c)
t 2 0 , n t1 6 , n n
6
t
6, n
Proof
d) t t t
6 8, n 2 4 , n 2 0 , n
Proof
t 2
2 0 , n t1 6 , n n 2 n n
t 2
6, n 2 n n
e) t 2 0 , n 3 c t3,
n 1 5 n 2 g n
Proof
t 2 2
8, n t 2 4 , n t 2 0 , n 3 n 2 n 2 n 2 n
2
n
t 2
2 0 , n 3ct 3, n 6 n 1 5 n 4 n 2
www.ijceronline.com ||May ||2013|| Page 31