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Prime Numbers

Crafted by Trivia Architect Matthew_07

Fun Trivia : Quizzes : Specific Math Topics : Prime Numbers
"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
    Neither
    0
    1


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


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?
    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.
    In the set of integers from 1 to 1000000, there are more composite numbers than prime numbers.


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 Atkin
    The Sieve of Fermat
    The Sieve of Leibniz
    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?
    Harry Furstenberg
    Euclid
    Isaac Newton
    Euler


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 prime number?
    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?
    Electronic Frontier Foundation
    Electronic Mersenne Foundation
    Great Internet Mersenne Prime Search
    Great Internet Frontier Prime Search


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 Prime Number Theorem
    The Fermat Theorem
    The Dirichlet Theorem
    The Proth 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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