B = {x | x is a prime number}.This is read “B = the set of all x such that x is a prime number,” and it meansthat the elements of B are the values of x that make the statement “x is a primenumber” come out true. You should think of the statement “x is a prime number”as an elementhood test for the set. Any value of x that makes this statementcome out true passes the test and is an element of the set. Anything else failsthe test and is not an element. Of course, in this case the values of x that makethe statement true are precisely the prime numbers, so this definition says thatB is the set whose elements are the prime numbers, exactly as before.Example 1.3.2. Rewrite these set definitions using elementhood tests:1. E = {2, 4, 6, 8, . . .}.

Consider the conditional statement “If x is a prime number, then x is an odd number.”   Is this statement true for x = 2? (Remember a prime number is divisible only by 1 and itself)Choose the answer with the most correct explanation.Group of answer choicesThe conditional statement is false because 2 is a prime number (the "if" is true) and 2 is an even number (the "then" is false).The conditional statement is assumed false because 2 is an even number (the “then” is false) regardless of the truth of the “if”.The conditional statement is neither true nor false.There is not enough information to decide if the conditional statement is true or false.The conditional statement is assumed true because 2 is a prime number (the “if” is true).

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, a prime number is a whole number greater than 1 that cannot be formed by multiplying two smaller whole numbers. For example, 2, 3, 5, 7, 11, and 13 are prime numbers because they cannot be divided evenly by any other number except 1 and themselves. Prime numbers play a fundamental role in number theory and have various applications in mathematics and computer science, such as in cryptography and prime factorization algorithms.

It refers to a set  S  and  P(x) be a property that elements of S may or may not satisfy. We may define a new set to be the set of all elements x in S such that P(x) is true. The set is denoted as  follows: { x ∈ S|P(x)}

What are looping statements. Write a program to check whether a number is prime no. or not.

Define the function is_prime(num) to check if given positive integer is a prime number or not. The function return a bool True if a number is divisible only by 1 and itself and a bool False if it is divisible by any other number than 1 or itself. Consider 1 be a prime number. 2 is also prime.Examplesis_prime(7) -> Trueis_prime(100) -> Falseis_prime(1) -> Trueis_prime(2) -> True