import math
def is_prime(n):
if n <= 1:
return False
if n <= 3:
return True
if n % 2 == 0 or n % 3 == 0:
return False
for k in range(5, math.isqrt(n) + 1, 6):
if n % k == 0 or n % (k + 2) == 0:
return False
return True
T = int(input())
for i in range(T):
n = int(input())
if is_prime(n):
print("Yes")
else:
print("No")

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