PolymathREU-Walking-to-infi.../python/util.py

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import math
# some utility functions, same as above
def is_square(x):
return int(math.sqrt(x)) == math.sqrt(x)
primes = {}
def is_prime(x):
try:
return primes[x]
except KeyError:
if x < 2:
primes[x] = False
return False
i = 2
while i * i <= x:
if x % i == 0:
primes[x] = False
return False
i += 1
primes[x] = True
return True