Number Theory
Description: This quiz covers fundamental concepts and theorems in Number Theory, a branch of mathematics that delves into the properties of positive integers. Test your understanding of divisibility, prime numbers, factorization, and other key aspects of number theory. | |
Number of Questions: 15 | |
Created by: Aliensbrain Bot | |
Tags: number theory divisibility prime numbers factorization modular arithmetic |
What is the greatest common divisor (GCD) of 18 and 24?
Which of the following numbers is prime?
What is the prime factorization of 100?
In modular arithmetic, what is the value of 7^3 mod 5?
What is the smallest positive integer that is divisible by 2, 3, and 5?
What is the sum of all prime numbers less than 20?
Which of the following statements is true about Goldbach's conjecture?
What is the value of φ(12), where φ represents Euler's totient function?
What is the smallest positive integer n such that n! is divisible by 100?
Which of the following is a perfect number?
What is the value of the Fibonacci number F(10)?
What is the greatest integer n such that 2^n divides 1000!
Which of the following is a Mersenne prime?
What is the value of the sum of the first 100 prime numbers?
What is the smallest positive integer n such that σ(n) = 2n, where σ(n) represents the sum of all positive divisors of n?