Question

Name your program file warmup.py

Submit your working Python code to your CodePost.io account.

In this challenge, establish if a given integer num is a Curzon number. If 1 plus 2 elevated to num is exactly divisible by 1 plus 2 multiplied by num, then num is a Curzon number.

Given a non-negative integer num, implement a function that returns True if num is a Curzon number, or False otherwise.

Examples

is_curzon(5) ➞ True
2 ** 5 + 1 = 33
2 * 5 + 1 = 11
33 is a multiple of 11

is_curzon(10) ➞ False
2 ** 10 + 1 = 1025
2 * 10 + 1 = 21
1025 is not a multiple of 21

is_curzon(14) ➞ True
2 ** 14 + 1 = 16385
2 * 14 + 1 = 29
16385 is a multiple of 29

Write a Python program that reads in an integer. Make sure the integer is positive (including zero). If it is then output the sum of the Curzon numbers that exist between 0 and the number. If the number is not positive then output an error message "input not valid" on a line by itself.

Repeat this process until you read in a zero, then stop.

Add the following comments to EVERY Python program for this course

# Your Name
# CSCI 236
# Date
# Program 00 - Warmup
# approximate number of hours you invested
# Grade Version (some programs will have A, B, C versions, this one does not)
# description of any major problems you ran into
# status of the program - does it compile, does it run perfectly, does it have bugs, any limitations, etc

Answer 1

#funnction for curzon check number

def is_curzon(num):

#make a temporary number with given first condition

cond1 = 2**number + 1

#make second temporary number

cond2 = 2*number + 1

#check for given condition

if cond1 % cond2 == 0:

return True

else:

return False

number = int(input("Enter any positive integer: "))

#Check if the number is positive

if number >= 0:

#if positive proceed to calling the isCurzon function

print(is_curzon(number))

#If not positive number, print the error message

else:

print("input not valid")

#output