andrewphillipdoss

fibonacci = [1,1]
i = 1
while (fibonacci[i] + fibonacci[i-1]) < 10000:
  fibonacci.append(fibonacci[i] + fibonacci[i-1])
  i += 1

print(fibonacci)

andrewphillipdoss

fibonacci = [1,1] #start fibonacci with the first two elements
i = 1 #start iterator at second number in the series
while (fibonacci[i] + fibonacci[i-1]) < 10000: #while the number to be appeneded is less than 10 grand
  fibonacci.append(fibonacci[i] + fibonacci[i-1]) #append the number
  i += 1 #increment the iterator

print(fibonacci) #print the list

andrewphillipdoss

def largest_prime_under(n):
    while n >= 2: #exit loop when all iterations have been exhausted
        
        # If a number is not prime, it can be factored into two factors (let's call them x and y). 
        # If both x and y are greater than the square root of n, then x*y > n, 
        # so at least one of those factors must be less than or equal to the square root of n, 
        # and to check if n is prime, we only need to test for factors less than or equal to the square root:
        if all(n % x for x in range(2, int(n ** 0.5 + 1))):
            print (n) #print and break if the test passes
            break