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The sum of two prime numbers is always p...

The sum of two prime numbers is always prime

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The sum of two prime numbers is always a prime number (True/false).

State whether the following statements are True or False:(a) The sum of three odd numbers is even.(b) The sum of two odd numbers and one even number is even.(c) The product of three odd numbers is odd.(d) If an even number is divided by 2, the quotient is always odd.(e) All prime numbers are odd.(f) Prime numbers do not have any factors.(g) Sum of two prime numbers is always even.(h) 2 is the only even prime number.(i) All even numbers are composite numbers.(j) The product of two even numbers is always even

Knowledge Check

  • The smallest prime number is

    A
    0
    B
    1
    C
    2
    D
    3

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    Which one of the following statement is true? (i) The sum of two irrational numbers is always an irrational number. (ii) The sum of two irrational numbers is always a rational number. (iii) The sum of two irrational numbers may be a rational number or irrational number. (iv) The sum of two irrational numbers is always an integer.

    The set of odd prime numbers is the empty set.

    Which of the following pairs are always co-primes? (i) two prime numbers (ii) one prime and one composite number (iii) two composite numbers

    Which of the following statements are true? If a number is divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number is divisible by 8, it must be divisible by 4. If a number is divisible by 18, if it is divisible by both 3 and 6. If a number is divisible by both 9 and 10, it must be divisible by 90. If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately. If a number divides three numbers exactly, it must divide their sum exactly. If two numbers are co-prime, at least one of them must be a prime number. The sum of two consecutive odd numbers is always divisible by 4.

    The sum of the prime numbers between 60 and 75 is (a) 199 (b) 201 (c) 211 (d) 272

    What are co-primes? Give examples of five pairs of co-primes. Are co-primes always prime? If no, illustrate your answer by an example.

    {:("Column A", "Column B"),("The number of prime number divisible by 2","The number of prime numbers divisible by 3"):}

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