Number theory solve in one hour plz Q4(solve b part only) I need hundred percent soloution plz plz =4. Let p be an odd prime, and suppose g has order p² - p in Z. Suppose that g" =1+ kp for some ne N and k EZ.(a) Show that g" = 1 (mod p²).(b) Show that n ≥ p-1.(c) Show that g is a primitive element of Z.

We need to use part (a), to prove part (b) of the question. 4.(b) We have the information that g…

Answered: (b) Show that n ≥ p-1.

Math

Advanced Math

(b) Show that n ≥ p-1.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.6: Binomial Theorem

Problem 45SE: In the expansion of (5x+3y)n , each term has the form (nk)ankbk ,where k successively takes on the...

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Number theory solve in one hour plz Q4(solve b part only) I need hundred percent soloution plz plz

=
4. Let p be an odd prime, and suppose g has order p² - p in Z. Suppose that g" =
1+ kp for some ne N and k EZ.
(a) Show that g" = 1 (mod p²).
(b) Show that n ≥ p-1.
(c) Show that g is a primitive element of Z.

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