The-number-of-natural-number-k-such-that-k-n-7-n-for-n-natural-numbers-

Question Number 168042 by cortano1 last updated on 01/Apr/22

T h e n u m b e r o f n a t u r a l n u m b e r k

s u c h t h a t k ∣ n^{7} - n f o r \forall n n a t u r a l

n u m b e r s

Commented by Rasheed.Sindhi last updated on 02/Apr/22

D e p e n d s u p o n i n d i v i d u a l n .

Answered by alephzero last updated on 02/Apr/22

n^{7} i s o d d i f n i s o d d a n d e v e n i f

n i s e v e n

\Rightarrow n^{7} - n i s a l w a y s e v e n

\Rightarrow k = 2 \land k = 1