Is-true-or-not-that-4181-is-the-only-one-Fibonacci-s-number-with-no-prime-factor-which-is-also-a-Fibonacci-s-number-

Question Number 55701 by mathaddicted last updated on 02/Mar/19

I s t r u e o r n o t t h a t 4181 i s t h e o n l y o n e

{F i b o n a c c i}^{'} s n u m b e r w i t h n o p r i m e f a c t o r

w h i c h i s a l s o a {F i b o n a c c i}^{'} s n u m b e r ?

Commented by MJS last updated on 03/Mar/19

1346269 = 557 \times 2417

24157817 = 73 \times 149 \times 2221

\dots

Answered by Kunal12588 last updated on 03/Mar/19

Commented by Kunal12588 last updated on 03/Mar/19

Commented by Kunal12588 last updated on 03/Mar/19

4181 i s t h e 20 t h t e r m o f t h e f i b o n a c c i s e r i e s

i f s t a r t e d w i t h 0 . e l s e i t s 19 t h t e r m

4181 = 37 \times 113 s o i t s f a c t o r s a r e 1, 37, 113, 4181

e x c l u d i n g 1 a n d 4181 i t s e l f

f a c t o r s o f 4181 a r e 37, 113 t h o s e w e r e n o t

a t e r m o f f i b b o n a c c i s e r i e s .

b u t t h e r e a r e o t h e r n u m b e r s a l s o l i k e

233 - 13 t h t e r m - a p r i m e n u m b e r s o i t

d o e s n o t h a v e a f a c t o r w h i c h i s a f i b o n a c c i n u m b e r