Given that a, B, C and D are prime numbers and that a × B × C × D is the sum of 77 nonzero continuous natural numbers, what is the minimum value of a + B + C + D?

Given that a, B, C and D are prime numbers and that a × B × C × D is the sum of 77 nonzero continuous natural numbers, what is the minimum value of a + B + C + D?

The sum of the smallest 77 all nonzero continuous natural numbers is: 1 + 2 + 3 + +77 = (77 + 1) × 77 △ 2, = 78 × 77 △ 2, = 3003. And 3003 = 3 × 7 × 11 × 13, so the four prime numbers are: 3, 7, 11, 13. Then a + B + C + D = 3 + 7 + 11 + 13 = 34. That is to say, the minimum value of a + B + C + D is 34