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

Principle of superposition, If y 1 (t) and y 2 (t) are two solutions to a...

If y 1 (t) and y 2 (t) are two solutions to a linear, homogeneous differential equation thus it is y (t ) = c 1 y 1 (t ) + c 2 y 2 (t )   ........................(3) Remem

Limits at infinity part ii, Limits At Infinity, Part II :  In this sectio...

Limits At Infinity, Part II :  In this section we desire to take a look at some other kinds of functions that frequently show up in limits at infinity.  The functions we'll be di

Two circles c(o, Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other ...

Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other at P, externally or internally.  Construction: join OP and O 1 P . Proof : we know that if two circles touch each

What was the us''s policy towards latin america, What was the US's policy t...

What was the US's policy towards Latin America during the 20th century? What were the motives behind this policy? Give one example of the US executing this policy?

Linear programming , Use the simplex method to solve the following LP Probl...

Use the simplex method to solve the following LP Problem. Max Z = 107x1+x2+2x3 Subject to 14x1+x2-6x3+3x4=7 16x1+x2-6x3 3x1-x2-x3 x1,x2,x3,x4 >=0

If tana+sina=m and tana-sina=n, If tanA+sinA=m and tanA-sinA=n, show that m...

If tanA+sinA=m and tanA-sinA=n, show that m 2 -n 2 = 4√mn Ans:    TanA + SinA = m       TanA - SinA = n. m 2 -n 2 =4√mn . m 2 -n 2 = (TanA + SinA) 2 -(TanA - SinA) 2

Algebra 1, Im having trouble with this word problem: The three Math Idol j...

Im having trouble with this word problem: The three Math Idol judges have been eliminating contestants all day! The number of one-step equations and two-step equations who have be

Define a complete lattice, Define a complete lattice and give one example. ...

Define a complete lattice and give one example. Ans:  A lattice (L, ≤) is said to be a complete lattice if, and only if every non-empty subset S of L has a greatest lower bound

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