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Prime Numbers

Crafted by Trivia Architect Matthew_07

Fun Trivia : Quizzes : Specific Math Topics : Prime Numbers

Introduction:
"Many great mathematicians are fascinated by prime numbers. How much do you know about them? Have fun and thanks for playing."


1. A prime number is a natural number which can be divided by two different divisors (namely 1 and the prime number itself) without remainders. Which of the followings is/are prime number(s)?
    Both
    1
    0
    Neither


2. Which of the following is the greatest 3-digit prime?
    999
    996
    998
    997


3. An integer that is greater or equal to 2 is categorized into 2 groups. The first group is the prime number. These prime numbers are the basic building blocks for the second group of number, which is known as?
    The irrational number
    The complex number
    The composite number
    The rational number


4. Which of the following statements is false?
    In the set of integers from 1 to 1000000, there are more composite numbers than prime numbers.
    An odd integer may be a prime number.
    An even integer is definitely not a prime number.
    Any integer greater than 5 that ends with a 5 is not a prime number.


5. The Sieve of Eratosthenes is one of the methods to determine whether a given integer is a prime number or not. There exists another method, which is called?
    The Sieve of Leibniz
    The Sieve of Atkin
    The Sieve of Fermat
    The Sieve of Gauss


6. Many great mathematicians proved that there is an infinite number of prime numbers. Which of the followings is NOT one of them?
    Euclid
    Isaac Newton
    Euler
    Harry Furstenberg


7. Any prime number that can be expressed in the form of 2^(2^n) + 1 is called a Fermat prime. On the other hand, what is the name given to a prime number that can be expressed in the form of 2^n ? 1, where n is any positive integer?
    A Wagstaff prime
    A Sophie Germain Prime
    A Mersenne prime
    A Wilson prime


8. The largest known prime number so far (July 2007) is 2^32582657 ? 1, which contains approximately 9.8 million digits. Which organization is offering a USD 100,000 reward to the person or group who discovers a prime number which has more than 10 million digits?
    Great Internet Frontier Prime Search
    Great Internet Mersenne Prime Search
    Electronic Frontier Foundation
    Electronic Mersenne Foundation


9. A very famous theorem can be used to estimate how many prime numbers are there between 1 and x by using the formula x/In x. Which theorem is it?
    The Proth Theorem
    The Dirichlet Theorem
    The Prime Number Theorem
    The Fermat Theorem


10. Prime numbers are used in cryptography algorithms, which are used in the field of military and banking.
    True
    False


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