I-m-having-trouble-understanding-why-2-1-3-mod-5-Can-someone-explain-please-Thank-you-

Question Number 5738 by FilupSmith last updated on 26/May/16

I^{'} m having trouble understanding why :

2^{- 1} \equiv 3 (\mod 5)

Can someone explain, please ? Thank you!

Commented by Rasheed Soomro last updated on 26/May/16

6 \equiv 1 (m o d 5)

\frac{6}{2} \equiv \frac{1}{2} (m o d 5)

3 \equiv 2^{- 1} (m o d 5)

2^{- 1} \equiv 3 (m o d 5)

T h i s i s a n i n c o r r e c t r e s u l t . D i v i d i n g

b o t h s i d e s b y a n u m b e r i s s o m e w h a t

c o n d i t i o n a l .

D i v i s i b i l i t y {i s n}^{'} t d e f i n e d f o r r a t i o n a l

n u m b e r s .

Commented by FilupSmith last updated on 26/May/16

Hmm \dots I am going to have to study further

because I still cannot understand