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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14e2f6bd-1786-4fa1-baf2-4607f3555412%2F4cb11f11-5d5b-4e38-980e-41c4b6cfa934%2Fc5fdrr_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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