Question

Determine ?(????) using Euler’s totient function

Determine ?(????) using Euler’s totient function

Homework Answers

Answer #1

Totient Funtion : Let us consider a number N. Totient function gives the number of positive integers that are less than N that are co-primes to N.

Here P1,P2,P3,..... Pk are the prime factors of N

Given N=2700.

2700= 22.33.52

= 720.

So there are 720 number of positive integers that are less than 2700 which are co-primes of 2700 is present.

I hope I have clearly explained the procedure with calculation. If you want you can try with other examples as well. If you find any difficulties please feel to comment. I will be available to solve your quires. Please support by upvote if you like my presentation and explanation.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Euler's Totient Function Let f(n) denote Euler's totient function; thus, for a positive integer n, f(n)...
Euler's Totient Function Let f(n) denote Euler's totient function; thus, for a positive integer n, f(n) is the number of integers less than n which are coprime to n. For a prime p its is known that f(p^k) = p^k-p^{k-1}. For example f(27) = f(3^3) = 3^3 - 3^2 = (3^2) 2=18. In addition, it is known that f(n) is multiplicative in the sense that f(ab) = f(a)f(b) whenever a and b are coprime. Lastly, one has the celebrated generalization...
Determine the set of all units modulo 28 and then state Euler’s Theorem for the modulus...
Determine the set of all units modulo 28 and then state Euler’s Theorem for the modulus of 28. Moreover, find the least nonnegative residue of 52403 modulo 28
Prove Euler’s theorem: if n and a are positive integers with gcd(a,n)=1, then aφ(n)≡1 modn, where...
Prove Euler’s theorem: if n and a are positive integers with gcd(a,n)=1, then aφ(n)≡1 modn, where φ(n) is the Euler’s function of n.
Using Euler’s formula, show that for any natural number n, cos(nθ) + isin(nθ) = (cos(θ) +...
Using Euler’s formula, show that for any natural number n, cos(nθ) + isin(nθ) = (cos(θ) + isin(θ))n Using this, show that cos(3θ) = cos3 (θ) − 3 cos(θ) sin2 (θ).
Determine the convergence or divergence if each integral by using a comparison function. Show work using...
Determine the convergence or divergence if each integral by using a comparison function. Show work using the steps below: A. Indicate the comparison function you are using. B. Indicate if your comparison function is larger or smaller than the original function. C. Indicate if your comparison integral converges or diverges. Explain why. D. State if the original integral converges or diverges. If it converges, you don’t need to give the value it converges to. 11. integral from 1 to infinity...
Use Euler’s Method to obtain a five-decimal approximation of the indicated value. Carry out the recursion...
Use Euler’s Method to obtain a five-decimal approximation of the indicated value. Carry out the recursion by hand, using h = 0.1 and then using h = 0.05. y′ = -y + x + 1, y(0) = 1. Find y(1)
explain and derive... Euler’s equations of rotational motion of a rigid body Equations of motion of...
explain and derive... Euler’s equations of rotational motion of a rigid body Equations of motion of spring mass systems using Lagrangian Equations of motion of pendulum spring etc using Newtons law Gyroscope moment of inertia and angular velocity Angular velocity of spools spinning Angular momentum of disks rotating Spring- mass systems, particularly spring attached to heavy disk Impacts and angular velocities after impact
Q1. Using Euclideanalgorithm find GCD(21, 1500). Show you work .Q2. Using Extended Euclidean algorithm find the...
Q1. Using Euclideanalgorithm find GCD(21, 1500). Show you work .Q2. Using Extended Euclidean algorithm find the multiplicative inverse of 8 in mod 45 domain .Show your work including the table. Q3. Determine φ(2200). (Note that 1,2,3,5, 7, ... etc.are the primes). Show your work. Q4. Find the multiplicative inverse of 14 in GF(31) domain using Fermat’s little theorem. Show your work Q5. Using Euler’s theorem to find the following exponential: 4200mod 27. Show how you have employed Euler’s theorem here
In cell B7, enter a formula without using a function to determine the profit generated at...
In cell B7, enter a formula without using a function to determine the profit generated at the Downtown location by subtracting the store’s expenses (cell B6) from the store’s sales (cell B5) for the week of March 1-7, 2018. Copy the formula you created in cell B7 to the range C7:D7.
How to determine the total cost function and the average function?
How to determine the total cost function and the average function?