import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } string COLOR(string s = "") { return "\x1b[" ~ s ~ "m"; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } void bAdd(T)(T[] bit, int pos, T val) in { assert(0 <= pos && pos < bit.length, "bAdd: 0 <= pos < |bit| must hold"); } do { for (int x = pos; x < bit.length; x |= x + 1) { bit[x] += val; } } // sum of [0, pos) T bSum(T)(T[] bit, int pos) in { assert(0 <= pos && pos <= bit.length, "bSum: 0 <= pos <= |bit| must hold"); } do { T ret = 0; for (int x = pos - 1; x >= 0; x = (x & (x + 1)) - 1) { ret += bit[x]; } return ret; } void main() { try { for (; ; ) { const Q = readInt; auto L = new int[Q]; auto R = new int[Q]; foreach (q; 0 .. Q) { L[q] = readInt; R[q] = readInt; } const maxR = R.maxElement; auto lpf = new int[maxR + 1]; foreach (p; 2 .. maxR + 1) lpf[p] = p; foreach (p; 2 .. maxR + 1) if (lpf[p] == p) { for (int n = p; n <= maxR; n += p) chmin(lpf[n], p); } auto addss = new int[][maxR + 1]; addss[0] ~= 1; foreach (n; 2 .. maxR + 1) { addss[n / lpf[n]] ~= n; } auto qss = new int[][maxR + 1]; foreach (q; 0 .. Q) qss[L[q]] ~= q; auto ans = new int[Q]; auto bit = new int[maxR + 1]; foreach (l; 1 .. maxR + 1) { foreach (n; addss[l - 1]) bit.bAdd(n, +1); foreach (q; qss[l]) ans[q] = bit.bSum(R[q] + 1) - bit.bSum(L[q]); } foreach (q; 0 .. Q) { writeln(ans[q]); } } } catch (EOFException e) { } }