Write a Python program using functions that will ask the user for a number, then based on the Goldbach Conjecture, will display the output.
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Write a Python
program using functions that will ask the user for a number, then based on the Goldbach Conjecture, will display the output.
The Goldbach Conjecture asserts that every even number is the sum of two prime numbers. Write a function definition of the following:
|
Function |
Description |
|
main() |
Gets a number from the user and display the output. |
|
even() |
Checks to make sure that it is even. |
|
prime() |
Finds two prime numbers that add up to the number. |
Sample Output
Input number: 100
The two prime numbers are 53 and 47
Step by step
Solved in 3 steps with 1 images
- (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.Write a program that takes as input five numbers and outputs the mean (average) and standard deviation of the numbers. If the numbers are x1,x2,x3,x4,andx5, then the mean is x=(x1+x2+x3+x4+x5)/5 and the standard deviation is: s=(x1x)2+(x2x)2+(x3x)2+(x4x2)+(x5x2)5 Your program must contain at least the following functions: a function that calculates and returns the mean and a function that calculates the standard deviation.please code in python Find the Error The following function takes in a positive integer and returns True if the integer is divisible by at least one integer between 2 and 7, inclusive, or False otherwise. Or at least, that’s what it’s supposed to do; there is a logic error that causes it to fail (for example, it should return True when passed in 15, but it returns False instead). Find the error and fix it. If you’re working in a pair, make sure that both of you are able to explain the error to your TA. Hints: As with most logic errors, the first thing you should do is put in print statements. Print out what i is at each step of the loop. At what point can you safely return False (that is, how many values of i do you have to check before you can be sure num isn't divisible by any of them)? def div27(num): for i in range(2,8): if num % i == 0: return True else: return False
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