If both a and B are integers, and the difference of equation AX2 + bx-2008 = 0 is prime, then the value of 3A + B is () A. 100B. 400C. 700D. 1000

If both a and B are integers, and the difference of equation AX2 + bx-2008 = 0 is prime, then the value of 3A + B is () A. 100B. 400C. 700D. 1000

Let X1 and X2 be the two roots of the equation AX2 + bx-2008 = 0, ∫ x1 · x2 = - 2008a, ∫ 2008 = 2 × 2 × 251, and∫ 251 be prime numbers. The two different roots of the equation AX2 + bx-2008 = 0 are prime numbers, ∫ the two roots can only be 251 and 2, ∫ a = - 4, ∫ X1 + x2 = - BA = 253, ∫ B = 4 × 253 = 1012, ∫ 3A + B = - 12 + 1012 = 1000