Test for Primality Given an integer n > 1, to test whethern is prime check to see if it is divisible by a prime number less than or equal to its square root. If it is not divisible by any of these numbers, then it is prime. (a) Let n = 143. How many prime numbers are less than or equal to the square root of n? Is n divisible by any of these numbers? O Yes O No Is n prime? O Yes O No (b) Let n = 401. How many prime numbers are less than or equal to the square root of n? Is n divisible by any of these numbers? O Yes O No Is n prime? O Yes O No
Test for Primality Given an integer n > 1, to test whethern is prime check to see if it is divisible by a prime number less than or equal to its square root. If it is not divisible by any of these numbers, then it is prime. (a) Let n = 143. How many prime numbers are less than or equal to the square root of n? Is n divisible by any of these numbers? O Yes O No Is n prime? O Yes O No (b) Let n = 401. How many prime numbers are less than or equal to the square root of n? Is n divisible by any of these numbers? O Yes O No Is n prime? O Yes O No
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 42E
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