import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.math.BigDecimal; import java.math.RoundingMode; import java.util.*; public class Main { static final long MOD1=1000000007; static final long MOD=998244353; static int ans=0; public static void main(String[] args){ PrintWriter out = new PrintWriter(System.out); InputReader sc=new InputReader(System.in); long L = sc.nextLong(); long R = sc.nextLong(); boolean[] p = new boolean[1000001]; long[] ans = new long[(int) (R-L+1)]; for (int i = 0; i < ans.length; i++) { ans[i] = i + L; } long sum = 0; boolean[] ans_p = new boolean[(int)(R-L+1)]; Arrays.fill(ans_p, true); for (int i = 2; i < p.length; i++) { if(p[i])continue; long pp = (long)i; for (long j = ceil(L, pp)*pp; j <= R; j+=pp){ int k = (int) (j - L); int s = 0; while (ans[k]%pp==0) { ans[k]/=pp; s++; } if (s>=2){ ans_p[k] = false; } } for (int j = 2*i; j < p.length; j+=i){ p[j] = true; } } TreeSet set = new TreeSet<>(); for (long i = Math.max(0, (long) Math.sqrt(L) - 2); i*i <= R; i++) { set.add(i*i); } set.add(0l); set.add(Long.MAX_VALUE); for (int i = 0; i < ans.length; i++) { if (ans_p[i]){ if (ans[i]==1) { sum++; continue; } long h = set.ceiling(ans[i]); long l = set.floor(ans[i]); if (!(h==ans[i]||l==ans[i])) { sum++; } } } System.out.println(sum); } static long ceil(long a,long b){ return a%b==0?a/b:a/b+1; } static class InputReader { private InputStream in; private byte[] buffer = new byte[1024]; private int curbuf; private int lenbuf; public InputReader(InputStream in) { this.in = in; this.curbuf = this.lenbuf = 0; } public boolean hasNextByte() { if (curbuf >= lenbuf) { curbuf = 0; try { lenbuf = in.read(buffer); } catch (IOException e) { throw new InputMismatchException(); } if (lenbuf <= 0) return false; } return true; } private int readByte() { if (hasNextByte()) return buffer[curbuf++]; else return -1; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private void skip() { while (hasNextByte() && isSpaceChar(buffer[curbuf])) curbuf++; } public boolean hasNext() { skip(); return hasNextByte(); } public String next() { if (!hasNext()) throw new NoSuchElementException(); StringBuilder sb = new StringBuilder(); int b = readByte(); while (!isSpaceChar(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public int nextInt() { if (!hasNext()) throw new NoSuchElementException(); int c = readByte(); while (isSpaceChar(c)) c = readByte(); boolean minus = false; if (c == '-') { minus = true; c = readByte(); } int res = 0; do { if (c < '0' || c > '9') throw new InputMismatchException(); res = res * 10 + c - '0'; c = readByte(); } while (!isSpaceChar(c)); return (minus) ? -res : res; } public long nextLong() { if (!hasNext()) throw new NoSuchElementException(); int c = readByte(); while (isSpaceChar(c)) c = readByte(); boolean minus = false; if (c == '-') { minus = true; c = readByte(); } long res = 0; do { if (c < '0' || c > '9') throw new InputMismatchException(); res = res * 10 + c - '0'; c = readByte(); } while (!isSpaceChar(c)); return (minus) ? -res : res; } public double nextDouble() { return Double.parseDouble(next()); } public int[] nextIntArray(int n) { int[] a = new int[n]; for (int i = 0; i < n; i++) a[i] = nextInt(); return a; } public double[] nextDoubleArray(int n) { double[] a = new double[n]; for (int i = 0; i < n; i++) a[i] = nextDouble(); return a; } public long[] nextLongArray(int n) { long[] a = new long[n]; for (int i = 0; i < n; i++) a[i] = nextLong(); return a; } public char[][] nextCharMap(int n, int m) { char[][] map = new char[n][m]; for (int i = 0; i < n; i++) map[i] = next().toCharArray(); return map; } } } //funはlamda式で定義 //prodで取得,setで更新(一点加算なら更新でおk) //二ブタンも出来る //SegTree segTree=new SegTree(N, (x,y)->x+y, 0);使用例 class SegTree { final int MAX; final int N; final java.util.function.BinaryOperator op; final S E; final S[] data; @SuppressWarnings("unchecked") public SegTree(int n, java.util.function.BinaryOperator op, S e) { this.MAX = n; int k = 1; while (k < n) k <<= 1; this.N = k; this.E = e; this.op = op; this.data = (S[]) new Object[N << 1]; java.util.Arrays.fill(data, E); } public SegTree(S[] dat, java.util.function.BinaryOperator op, S e) { this(dat.length, op, e); build(dat); } private void build(S[] dat) { int l = dat.length; System.arraycopy(dat, 0, data, N, l); for (int i = N - 1; i > 0; i--) { data[i] = op.apply(data[i << 1 | 0], data[i << 1 | 1]); } } public void set(int p, S x) { exclusiveRangeCheck(p); data[p += N] = x; p >>= 1; while (p > 0) { data[p] = op.apply(data[p << 1 | 0], data[p << 1 | 1]); p >>= 1; } } public S get(int p) { exclusiveRangeCheck(p); return data[p + N]; } public S prod(int l, int r) { if (l > r) { throw new IllegalArgumentException( String.format("Invalid range: [%d, %d)", l, r) ); } inclusiveRangeCheck(l); inclusiveRangeCheck(r); S sumLeft = E; S sumRight = E; l += N; r += N; while (l < r) { if ((l & 1) == 1) sumLeft = op.apply(sumLeft, data[l++]); if ((r & 1) == 1) sumRight = op.apply(data[--r], sumRight); l >>= 1; r >>= 1; } return op.apply(sumLeft, sumRight); } public S allProd() { return data[1]; } public int maxRight(int l, java.util.function.Predicate f) { inclusiveRangeCheck(l); if (!f.test(E)) { throw new IllegalArgumentException("Identity element must satisfy the condition."); } if (l == MAX) return MAX; l += N; S sum = E; do { l >>= Integer.numberOfTrailingZeros(l); if (!f.test(op.apply(sum, data[l]))) { while (l < N) { l = l << 1; if (f.test(op.apply(sum, data[l]))) { sum = op.apply(sum, data[l]); l++; } } return l - N; } sum = op.apply(sum, data[l]); l++; } while ((l & -l) != l); return MAX; } public int minLeft(int r, java.util.function.Predicate f) { inclusiveRangeCheck(r); if (!f.test(E)) { throw new IllegalArgumentException("Identity element must satisfy the condition."); } if (r == 0) return 0; r += N; S sum = E; do { r--; while (r > 1 && (r & 1) == 1) r >>= 1; if (!f.test(op.apply(data[r], sum))) { while (r < N) { r = r << 1 | 1; if (f.test(op.apply(data[r], sum))) { sum = op.apply(data[r], sum); r--; } } return r + 1 - N; } sum = op.apply(data[r], sum); } while ((r & -r) != r); return 0; } private void exclusiveRangeCheck(int p) { if (p < 0 || p >= MAX) { throw new IndexOutOfBoundsException( String.format("Index %d out of bounds for the range [%d, %d).", p, 0, MAX) ); } } private void inclusiveRangeCheck(int p) { if (p < 0 || p > MAX) { throw new IndexOutOfBoundsException( String.format("Index %d out of bounds for the range [%d, %d].", p, 0, MAX) ); } } }