using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static long[] LList(long n) => Enumerable.Repeat(0, (int)n).Select(_ => long.Parse(ReadLine())).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var n = NN;
        var a = NList;
        var uf = new UnionFindTree(n + 200001);
        var mlist = GetMinPDivList(200001);
        for (var i = 0; i < n; ++i)
        {
            foreach (var p in PDiv(a[i], mlist))
            {
                uf.Unite(i, n + p);
            }
        }
        var visited = new HashSet<int>();
        var list = new List<int>();
        for (var i = 1 + n; i < n + 200001; ++i)
        {
            if (!visited.Contains(uf.GetRoot(i)) && uf.GetSize(i) > 1)
            {
                list.Add(i - n);
                visited.Add(uf.GetRoot(i));
            }
        }
        var ans = 2 * list.Count;
        if (list.Contains(2)) ans -= 2;
        if (list.Count == 2)
        {
            ans = Math.Min(ans, list[list[0] == 1 ? 1 : 0]);
        }
        WriteLine(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 HashSet<int> PDiv(int n, int[] minPDivList)
    {
        var p = minPDivList[n];
        if (n == p)
        {
            var dic = new HashSet<int>();
            dic.Add(p);
            return dic;
        }
        else
        {
            var dic = PDiv(n / p, minPDivList);
            dic.Add(p);
            return dic;
        }
    }
    class UnionFindTree
    {
        int[] roots;
        public UnionFindTree(int size)
        {
            roots = new int[size];
            for (var i = 0; i < size; ++i) roots[i] = -1;
        }
        public int GetRoot(int a)
        {
            if (roots[a] < 0) return a;
            return roots[a] = GetRoot(roots[a]);
        }
        public bool IsSameTree(int a, int b)
        {
            return GetRoot(a) == GetRoot(b);
        }
        public bool Unite(int a, int b)
        {
            var x = GetRoot(a);
            var y = GetRoot(b);
            if (x == y) return false;
            if (-roots[x] < -roots[y]) { var tmp = x; x = y; y = tmp; }
            roots[x] += roots[y];
            roots[y] = x;
            return true;
        }
        public int GetSize(int a)
        {
            return -roots[GetRoot(a)];
        }
    }
}