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# useful.py by xing216
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from gmpy2 import is_prime
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def useful(n):
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k = 1
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is_useful = False
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while is_useful == False:
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if is_prime(2**(2**n) - k):
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is_useful = True
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break
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k += 2
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return k
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if __name__ == "__main__":
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print("n | k")
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for i in range(1,14):
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print(f"{i:<4}{useful(i)}")
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