Fermat''s little theorem, Mathematics

Assignment Help:
1. How many closed necklaces of length 7 can be made with 3 colors?
(notice that 7 is a prime)
2. How many closed necklaces of length 10 can be made with 3 colors
(this is di erent because 10 is not a prime: you need to think about
necklaces all of one color, necklaces with 5 repeating blocks of 2 colors,
necklaces with 2 repeating blocks of 5 colors, and necklaces with no
repeating pattern of length shorter than 10)?
3. Compute 834256743 mod 13 with the help of Fermat''s little theorem. Show
all work (I need to see how you used the theorem).
4. Determine (21). Use this information to compute 91000000000 mod 21
using Euler''s theorem.

Related Discussions:- Fermat''s little theorem

Differential equations, verify liouville''s theorem for y''''''-y''''-y''+...

verify liouville''s theorem for y''''''-y''''-y''+y=0

Profit and loss, A man sold an item for Rs 6,750 at a loss 25%. What will b...

A man sold an item for Rs 6,750 at a loss 25%. What will be the selling price of same item if he sells it at a profit of 15%?

Find the sum of series r/(r+1)(r+2)(r+3)from 1 upto infinity, Apply the con...

Apply the concept of partial fraction and add the corresponding terms. The terms will get cut automatically leaving the first and last term

Show that 571 is a prime number, Show that 571 is a prime number. Ans: ...

Show that 571 is a prime number. Ans:    Let x=571⇒√x=√571 Now 571 lies between the perfect squares of  (23)2 and (24)2 Prime numbers less than 24 are 2,3,5,7,11,13,17,1

Find final position of point by rotation -translation matric, Question: ...

Question: A point in 3D is first rotated anticlockwise by 45 degrees about x axis,then translated along y axis by 2 units.Find the final position of the point if its initial po

Porportions, how do you solve for porportions?

how do you solve for porportions?

Multiply 3 (x + 4) = 3x + 12 to find out the total perimeter, Jake required...

Jake required to find out the perimeter of an equilateral triangle whose sides measure x + 4 cm each. Jake realized that he could multiply 3 (x + 4) = 3x + 12 to find out the total

Square root., i dont get these questions they are hard for me

i dont get these questions they are hard for me

Prove, Let Xn be a sequence of distinct real numbers. Defi ne E = {L : L is...

Let Xn be a sequence of distinct real numbers. Defi ne E = {L : L is a subsequential limit of Xn}. Prove E is closed.

Regression model, Consider the regression model  Y i = a + bX i + u i ,  ...

Consider the regression model  Y i = a + bX i + u i ,  where the  X i   are non-stochastic and the  u i   are independently and identically distributed with  E[u i ] = 0  and  va

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd