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Euler Problem 27 solution script Added #1466

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Oct 31, 2019
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42 changes: 28 additions & 14 deletions project_euler/Problem_27/sol1.py
Original file line number Diff line number Diff line change
Expand Up @@ -11,38 +11,52 @@

import math


def isPrime(k):
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Let’s use a Pythonic function name and add type hints: def is_prime(k: int) -> bool

# checks if a number is prime
if k < 2: return False
elif k == 2: return True
elif k % 2 == 0: return False
else:
for x in range(3, int(math.sqrt(k)+1), 2):
if k % x == 0: return False
# checks if a number is prime
if k < 2:
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if k < 2 or k % 2 == 0: # and then delete lines 21 and 22.

return False
elif k == 2:
return True
elif k % 2 == 0:
return False
else:
for x in range(3, int(math.sqrt(k) + 1), 2):
if k % x == 0:
return False

return True
return True


def solution(a_limit, b_limit):
"""
>>> solution(1000, 1000)
-59231
>>> solution(2000, 2000)
-126479
>>> solution(-1000, 1000)
0
>>> solution(-1000, -1000)
0

"""
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Dedent lines 33 through 42 so they are all left aligned with line 32.
Delete the blank line 41.

longest = [0, 0, 0]
# length, a, b
# length, a, b
for a in range((a_limit * -1) + 1, a_limit):
for b in range(2, b_limit):
if isPrime(b):
count = 0
n = 0
while isPrime((n**2) + (a*n) + b):
while isPrime((n ** 2) + (a * n) + b):
count += 1
n += 1

if count > longest[0]:
longest = [count, a, b]

ans=longest[1]*longest[2]
ans = longest[1] * longest[2]
return ans




if __name__ == "__main__":
print(solution(1000, 1000))
print(solution(1000, 1000))