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from itertools import combinations
import math
def solution(nums):
candidates = combinations(nums, 3)
answer = 0
for item in candidates:
sums = sum(item)
is_prime = True
for i in range(2, int(math.sqrt(sums)) + 1):
if sums % i == 0:
is_prime = False
break
if is_prime:
answer += 1
return answer
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