{ "data": { "question": { "questionId": "767", "questionFrontendId": "762", "boundTopicId": null, "title": "Prime Number of Set Bits in Binary Representation", "titleSlug": "prime-number-of-set-bits-in-binary-representation", "content": "

Given two integers left and right, return the count of numbers in the inclusive range [left, right] having a prime number of set bits in their binary representation.

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Recall that the number of set bits an integer has is the number of 1's present when written in binary.

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Example 1:

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\nInput: left = 6, right = 10\nOutput: 4\nExplanation:\n6  -> 110 (2 set bits, 2 is prime)\n7  -> 111 (3 set bits, 3 is prime)\n8  -> 1000 (1 set bit, 1 is not prime)\n9  -> 1001 (2 set bits, 2 is prime)\n10 -> 1010 (2 set bits, 2 is prime)\n4 numbers have a prime number of set bits.\n
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Example 2:

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\nInput: left = 10, right = 15\nOutput: 5\nExplanation:\n10 -> 1010 (2 set bits, 2 is prime)\n11 -> 1011 (3 set bits, 3 is prime)\n12 -> 1100 (2 set bits, 2 is prime)\n13 -> 1101 (3 set bits, 3 is prime)\n14 -> 1110 (3 set bits, 3 is prime)\n15 -> 1111 (4 set bits, 4 is not prime)\n5 numbers have a prime number of set bits.\n
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Constraints:

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