using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] LList(int n) => Enumerable.Repeat(0, n).Select(_ => int.Parse(ReadLine())).ToArray(); public static void Main() { Solve(); } static void Solve() { var t = NN; var a = LList(t); WriteLine(string.Join("\n", GCDistance(a))); } static long[] GCDistance(int[] a) { var max = 10_000_001; var phis = Phis(max); var cum = new long[max]; for (var i = 1; i < cum.Length; ++i) { cum[i] = cum[i - 1] + phis[i]; } var ans = new long[a.Length]; for (var i = 0; i < a.Length; ++i) { ans[i] = (long)a[i] * (a[i] - 1) - cum[a[i]]; } return ans; } static int[] Phis(int max) { var ans = new int[max + 1]; var minPDivList = GetMinPDivList(max); for (var i = 1; i < ans.Length; ++i) { var p = PDiv(i, minPDivList).Distinct(); var phi = i; foreach (var pi in p) phi = phi / pi * (pi - 1); ans[i] = phi; } return ans; } static int[] GetMinPDivList(int max) { var minPDivList = new int[max + 1]; for (var i = 0; i <= max; ++i) minPDivList[i] = i; for (var i = 2; i * i <= max; ++i) if (minPDivList[i] == i) { for (var j = i * i; j <= max; j += i) if (minPDivList[j] == j) { minPDivList[j] = i; } } return minPDivList; } static int GetMinPDiv(int n, int min) { var p = min; while ((long)p * p <= n) { if (n % p == 0) return p; ++p; } return n; } static List PDiv(int n, int[] minPDivList) { var p = minPDivList[n]; if (n == p) { var dic = new List(); dic.Add(p); return dic; } else { var dic = PDiv(n / p, minPDivList); dic.Add(p); return dic; } } }