If 100 and 168 are added to a positive integer, two complete squares can be obtained. Then the positive integer is______ ．

Let this number be n, and N + 168 = A2, N + 100 = B2, then A2-B2 = 68 = 22 × 17, that is, (a + b) (a-b) = 22 × 17. But the parity of a + B and A-B is the same, so a + B = 34, A-B = 2, then a = 18, B = 16, then n = 156. So the answer is 156

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