#include using namespace std; typedef pair pii; typedef pair > piii; typedef long long ll; const int N = 2000086, MOD = 998244353, INF = 0x3f3f3f3f; ll res; int n, m, cnt, w[N]; struct Q { int l, r, id; bool operator<(const Q& w) const { return l < w.l; } }q[N]; struct ST { struct Node { int l, r; ll sum, flag; }; vector tr; ST(ST&& other) noexcept : tr(move(other.tr)) { } ST (int l, int r) : tr(vector(((r - l + 10) << 2) + 10)) { build(1, l, r); } ST& operator=(ST&& other) noexcept { if (this != &other) { tr = move(other.tr); } return *this; } private: void pushup(int u) { tr[u].sum = tr[u << 1].sum + tr[u << 1 | 1].sum; } void pushdown(Node& u, Node& l, Node& r) { l.flag += u.flag, r.flag += u.flag; l.sum += u.flag * (l.r - l.l + 1), r.sum += u.flag * (r.r - r.l + 1); u.flag = 0; } void pushdown(int u) { if (tr[u].flag) pushdown(tr[u], tr[u << 1], tr[u << 1 | 1]); } void build(int u, int l, int r) { tr[u] = {l, r, 1}; if (l == r) return; int mid = l + r >> 1; build(u << 1, l, mid), build(u << 1 | 1, mid + 1, r); pushup(u); } public: ll query(int u, int l, int r) { if (tr[u].l >= l && tr[u].r <= r) return tr[u].sum; pushdown(u); int mid = tr[u].l + tr[u].r >> 1; ll res = 0; if (l <= mid) res += query(u << 1, l, r); if (r > mid) res += query(u << 1 | 1, l, r); return res; } void modify(int u, int l, int r, ll v) { if (tr[u].l >= l && tr[u].r <= r) tr[u].sum = v; else { pushdown(u); int mid = tr[u].l + tr[u].r >> 1; if (l <= mid) modify(u << 1, l, r, v); if (r > mid) modify(u << 1 | 1, l, r, v); pushup(u); } } }; int c[N], ans[N]; int main() { cin >> n; for (int i = 1; i < n + 1; i++) scanf("%d%d", &q[i].l, &q[i].r), q[i].id = i; sort(q + 1, q + n + 1); ST tr(1, 1e6); for (int i = 1; i < 1000000; i++) { for (int j = i * 2; j <= 1000000; j += i) { c[j]++; if (c[j] == 1) tr.modify(1, j, j, 0); } } int l = 1; for (int i = 1; i < n + 1; i++) { while (l < q[i].l) { for (int j = l * 2; j <= 1000000; j += l) { c[j]--; if (!c[j]) tr.modify(1, j, j, 1); } l++; } ans[q[i].id] = tr.query(1, q[i].l, q[i].r); } for (int i = 1; i < n + 1; i++) printf("%d\n", ans[i]); return 0; }