Fermat’s Last Theorem says that there are no integers a, b and c such that
an+bn=cn for any values of n greater than 2.
Write a function check_fermat that takes four parameters a,b,c & n and checks if Fermat’s theorem holds. If n is greater than 2 and it turns out that an+bn=cn then print “I made a discovery - Fermat was wrong” and return False, otherwise return True. For n equal to 1 or 2 return True if the Fermat’s theorem holds and False otherwise. For values of n less than equal to 0 print an error message.
e.g.
check_fermat(3,4,8,1) -> False
check_fermat(3,4,5,2) -> True
check_fermat(3,4,7,2) -> False
check_fermat(3,4,5,3) -> True
Code:
import math
def check_fermat(a,b,c,n):
num1 = math.pow(a,n)
num2 = math.pow(b,n)
num3 = math.pow(c,n)
sumnum = num1 + num2
if(n > 2):
if(sumnum == num3):
print("I made a discovery - Fermat was wrong")
return False
else:
return True
elif(n < 0):
print("Error!!! Number must be greater than 0")