The sum of all natural numbers n suitable for inequality 718 < N5 < 207 is______ .

The sum of all natural numbers n suitable for inequality 718 < N5 < 207 is______ .


Because 718 < N5 < 207, so 245630 < 126n630 < 1800630, so 245 < 126n < 1800, then the value of n is 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14, = 8 × 13, = 104



Find the largest n natural number, so that the inequality 8 / 15 < n / (n + k) < 7 / 13 has a unique integer K


n=112,k=97
The original inequality can be transformed into 96 / 112 < K / N < 98 / 112