SOLUTION: Prove that for any prime k>2, some prime k-2 or k+2 exists.
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Question 1005057
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Prove that for any prime k>2, some prime k-2 or k+2 exists.
Answer by
ikleyn(52800)
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Your statement is wrong.
Indeed, consider the prime k = 23.
k-2 = 21 is not prime.
k+2 = 25 is not prime.