| 2 * j - j = j, i ^ i0 ≤ 2 * j, 2 * j < i ^ (i0 + 1), prime(i), i ^ i0 < i ^ (i0 + 1), 0 ≤ i0, 0 < j, 0 ≤ j, fac(2 * j - j) * fac(j) | fac(2 * j) ⊦ max_exp(i, fac(2 * j) / (fac(2 * j - j) * fac(j))) = Σ countFun(1, i0, λ i0. (2 * j) / i ^ i0 - 2 * j / i ^ i0) |
i ^ i0 ≤ 2 * j, 2 * j < i ^ (i0 + 1), prime(i), i ^ i0 < i ^ (i0 + 1), 0 ≤ i0, 0 < j, 0 ≤ j, fac(j) * fac(j) | fac(2 * j) ⊦ max_exp(i, fac(2 * j) / (fac(j) * fac(j))) = Σ countFun(1, i0, λ i0. (2 * j) / i ^ i0 - 2 * j / i ^ i0)