Write a python function that takes a positive integer n as anargument.This function will return the number of positive integersless than n thatare co-prime to n.Co-prime Numbers: Two numbers are coprime to eachother if they don't haveany common divisor except 1.Sample Input 1:1Sample Output 1:Reason: Since 1 is the smallest positive integer, thereexists no positiveinteger that is less than and coprime to 1.Sample Input 2:2Sample Output 2:1Reason: Only 1 doesn't share any common divisor (except1 itself) with 2.Also, 1 < 2.Sample Input 3:Sample Output 3:Reason: Namely, the two coprime numbers to 6 are 1 and5.Sample Input 4:36Sample Output 4:12Reason: The numbers coprime to 36 are 1, 5, 7, 11, 13, 17,19, 23, 25, 29,31 and 35

Write a python function that takes a positive integer n as an argument. This function will return the number of positive integers less than n that are co-prime to n. Co-prime Numbers: Two numbers are coprime to each other if they don't have any common divisor except 1.

Write a python function that takes a positive integer n as an argument. This function will return the number of positive integers less than n that are co-prime to n. Co-prime Numbers: Two numbers are coprime to each other if they don't have any common divisor except 1.

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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Question

Write a python function that takes a positive integer n as an
argument.
This function will return the number of positive integers
less than n that
are co-prime to n.
Co-prime Numbers: Two numbers are coprime to each
other if they don't have
any common divisor except 1.
Sample Input 1:
1
Sample Output 1:
Reason: Since 1 is the smallest positive integer, there
exists no positive
integer that is less than and coprime to 1.
Sample Input 2:
2
Sample Output 2:
1
Reason: Only 1 doesn't share any common divisor (except
1 itself) with 2.
Also, 1 < 2.
Sample Input 3:
Sample Output 3:
Reason: Namely, the two coprime numbers to 6 are 1 and
5.
Sample Input 4:
36
Sample Output 4:
12
Reason: The numbers coprime to 36 are 1, 5, 7, 11, 13, 17,
19, 23, 25, 29,
31 and 35

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