Math (Complex Numbers)

posted by .

Let N be the sum of all prime powers that can be written as 4^n+n^4 for some positive integer n.

What are the last 3 digits of N?

Details and assumptions:
A prime power is a number of the form pk, where p is a prime and k is a positive integer. Examples: 3,9,16.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    the only perfect number of the form x(n) + y(n) A perfect number is an integer that is equal to the sum of its positive divisors (not including itself). Therefore, 6 is a perfect number, since its positive divisors are 1, 2, and 3 …
  2. math

    You can use the prime factorization of a number, written as the product of powers of prime numbers, to find the number of factors the number has. First, express the number as a product of powers of prime numbers; for example, 36=2 …
  3. math

    You can use the prime factorization of a number, written as the product of powers of prime numbers, to find the number of factors the number has. First, express the number as a product of powers of prime numbers; for example, 36=2 …
  4. MATH

    Let’s agree to say that a positive integer is prime-like if it is not divisible by 2, 3, or 5. How many prime-like positive integers are there less than 100?
  5. PROBLEM SOLVING IN MATHEMATICS

    there are two prime numbers between 100 and 199 such that the ten digits is a prime number, the ones digit is a prime number and the tens and ones digits taken together are a 2 digit prime number. find the sum of these 2 prime number.
  6. algebra

    Find the sum of all positive integers c such that for some prime a and a positive integer b, a^b+b^a=c^a.
  7. MATHS!!!Please HELP..:'(

    What is the sum of all integer values of n satisfying 1≤n≤100, such that (n^2)−1 is a product of exactly two distinct prime numbers?
  8. MAths

    Consider a digital clock. The first time after midnight when the three digits are all prime numbers is 2:22 am. What is the last time before 10:00 am, when the three digits on the clock are all prime numbers?
  9. Math algebra

    Let N be the sum of all positive integers q of the form q=p^k with prime p, such that for at least four different integer values of x from 1 to q, x^3−3x≡123(modq). What are the last 3 digits of N?
  10. Math (algebra)

    Let x,y be complex numbers satisfying x+y=a xy=b, where a and b are positive integers from 1 to 100 inclusive. What is the sum of all possible distinct values of a such that x^3+y^3 is a positive prime number?

More Similar Questions