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it by induction and what is the H

it by induction and what is the H

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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This is the algorithm to check whether a number is Prine or not

def isPrime(n):
    for i in range(2,int(n**1/2)+1):
        if n%i==0:
            return False
    return True

How I can prove it by induction and what is the Hypothesis?

What is your Hypothesis? Edit this cell to insert your statement Your Induction To submit your proof here, you have multiple options as follows: • Write your proof here in the notebook using LaTeX [Preferred] • Write your proof in any other application, any word processing application, and take a screenshot of your proof; then, put it here as an image Write your proof by hand, and take a photo of your solution and put it here as an image [least preferred] Make sure your write is clear enough; we would not return to ask for a clarification. [write your proof here]
Transcribed Image Text:What is your Hypothesis? Edit this cell to insert your statement Your Induction To submit your proof here, you have multiple options as follows: • Write your proof here in the notebook using LaTeX [Preferred] • Write your proof in any other application, any word processing application, and take a screenshot of your proof; then, put it here as an image Write your proof by hand, and take a photo of your solution and put it here as an image [least preferred] Make sure your write is clear enough; we would not return to ask for a clarification. [write your proof here]
Problem Statement In tasks 1, you wrote an algorithm to check whether a number is prime or not. Prove that your algorithm is actually correct. In [ ]: # write your implementation from Task 1 here def isPrime(n): checks whether the positive integer n, which is at least 2, is prime or not It takes n: represnts the integer value to be checked It should return [-1 true or false In [ ]: # use some inputs to empirically test your algorithm isPrime(11) Proof What is your Hypothesis?
Transcribed Image Text:Problem Statement In tasks 1, you wrote an algorithm to check whether a number is prime or not. Prove that your algorithm is actually correct. In [ ]: # write your implementation from Task 1 here def isPrime(n): checks whether the positive integer n, which is at least 2, is prime or not It takes n: represnts the integer value to be checked It should return [-1 true or false In [ ]: # use some inputs to empirically test your algorithm isPrime(11) Proof What is your Hypothesis?
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