please dont give the answer just give me some examples to understand generator modulo prime

please dont give the answer just give me some examples to understand generator modulo prime

No vote yet

4 votes

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestHere's an example: 3 is a generator mod 7 since

\(3^0 \equiv 1 \pmod 7,\ 3^1 \equiv 3\pmod 7,\ 3^2 \equiv 2\pmod 7,\) \(3^3 \equiv 6 \pmod 7,\ 3^4 \equiv 4\pmod 7,\ 3^5 \equiv 5\pmod 7.\)

So all the non-zero elements mod 7 (namely 1-6) can be expressed as a power of 3.

On the other hand, 2 is not a generator mod 7 since its powers are 1, 2 and 4 mod 7. – C Lim · 3 years, 4 months ago

Log in to reply

– Superman Son · 3 years, 4 months ago

thank you very much i got it(got the problem).couldnt do without your helpLog in to reply