Find general solution for k such that 7^k ≡1 mod (35)


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Question Number 80580 by mr W last updated on 04/Feb/20

$F i n d g e n e r a l s o l u t i o n f o r k s u c h t h a t$ $7^{k} \equiv 1 m o d (35)$
	Answered by Rio Michael last updated on 04/Feb/20

	$k = 8 n, n \in N$
	Commented by mr W last updated on 04/Feb/20

	$b u t 7^{8 n} \equiv 21 m o d (35)$
	Commented by mr W last updated on 04/Feb/20

	$i t h i n k t h e r e i s n o s o l u t i o n f o r$ $7^{k} \equiv 1 m o d (35)$ $7^{k} \equiv 1 m o d (55)$ $7^{k} \equiv 1 m o d (65)$ $7^{k} \equiv 1 m o d (85)$ $7^{k} \equiv 1 m o d (95)$
	Commented by Rio Michael last updated on 04/Feb/20

	$a h h r i g h t s i r, s i r p l e a s e$ $c a n i g e t y o u r c o n t a c t,$ $i w o u l d l o v e y o u t o a m e m b e r$ $o f a b o o k i w i l l b e w r i t i n g$
	Commented by mr W last updated on 04/Feb/20

	$t h a n k y o u f o r y o u r k i n d n e s s s i r!$ $a t t h e m o m e n t i w a n t t o r e s t r i c t t h e$ $e x c h a n g e w i t h i n t h i s f o r u m . p l e a s e$ $i n f o r m u s w h e n y o u r b o o k i s p u b l i s h e d .$
	Commented by Rio Michael last updated on 04/Feb/20

	$but i will really love you to be a$ $member, like check the solvings$ $and do valuable contributions$ $you are good sir, very good$ $in maths and physics$
	Commented by otchereabdullai@gmail.com last updated on 05/Feb/20

	$Prof W is the world best mathematician$
	Answered by rkdbdb last updated on 04/Feb/20

	$k = 0$
	Commented by mr W last updated on 05/Feb/20

	${t h a t}^{'} s t r u e . b u t w e s h o u l d f i n d k \in N .$
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