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In number theory, a pernicious number is a positive integer such that the Hamming weight of its binary representation is prime.


The first pernicious number is 3, since 3 = 112 and 1 + 1 = 2, which is a prime. The next pernicious number is 5, since 5 = 1012, followed by 6, 7 and 9 (sequence A052294 in the OEIS).


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