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Prime numbers
It can only be divided by one or itself i.e., a prime number has no factors other than 1 and itself. e.g., 2, 3, 5, 7, 11, 13, 17, 19, 23, are examples of prime numbers..
Numbers prime to each other
Such numbers have only 1 as common factor even though they may be composite numbers e.g., 21 and 32 are prime to each other. We generally write (21, 32) = 1, which means 21 and 32 are prime to each other i.e., they have only one factor in common viz., ..
Which of these is a prime number?
Which of these is a prime number? => 31 or 27 or 39 or 45..
Rational and Irrational Numbers
Introduction - The sets of numbers which every student must remember are: The set of natural numbers, The set of whole numbers, The set of integers, The set of rational numbers, The set of irrational numbers, Set of Real Numbers, Consecuti..
Suggested answer:
Let P(n) = n 2 - n + 41 is a prime number P(1) = (1) 2 - 1 + 41 = 41 is a prime number P(1) is true. P(2) = (2) 2 - 2 + 41 = 43 is a prime number P(2) is also true. P(41) = (41) 2 - 41 + 41 = (41) 2 is a prime number..
Let P(n) = n 2 - n + 41 is a prime number P(1) = (1) 2 - 1 + 41 = 41 is a prime number P(1) is true. P(2) = (2) 2 - 2 + 41 = 43 is a prime number P(2) is also true. P(41) = (41) 2 - 41 + 41 = (41) 2 is a prime number..Illustrative Examples
Example 1: - 01. If P(n) is the statement n 2 -n+41 is prime, prove that P(1), P(2) are true but P(41) is not tru..
Which of these numbers is a prime number?
Which of these numbers is a prime number? => 39 or 19 or 99 or 69..
_____ is the only even and the smallest prime number.
_____ is the only even and the smallest prime number. => 1 or 0 or 3 or 2..
Identify the prime number.
Identify the prime number. => 47 or 9 or 38 or 50..
Identify a prime number.
Identify a prime number. => 107 or 51 or 121 or 93..
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