using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;
using System.Text;

class TEST{
	static void Main(){
		Sol mySol =new Sol();
		mySol.Solve();
	}
}

class Sol{
	public void Solve(){
		
		List<long> L = new List<long>();
		int[] P = new int[1500000];
		for(int i=2;i<1500000;i++){
			if(P[i] == 0){
				L.Add(i);
				for(int j=i+i;j<1500000;j += i) P[j] = 1;
			}
		}
		long mod = (long) 1e9+7;
		long[] ans = new long[Q];
		for(int q=0;q<Q;q++){
			long m = M[q];
			long a = A[q];
			
			long ret = 1;
			for(int i=1;i<=m;i++){
				long p = L[i-1];
				long pm = ModInv(p-1);
				long ret0 = p;
				ret0 *= (ModPow(p,i+a+1) + mod - 1); if(ret0 >= mod) ret0 %= mod;
				ret0 *= pm; if(ret0 >= mod) ret0 %= mod;
				ret0 += mod - (i+a+1) ; if(ret0 >= mod) ret0 -= mod;
				ret0 *= pm; if(ret0 >= mod) ret0 %= mod;
				ret *= ret0; if(ret >= mod) ret %= mod;
			}
			
			ans[q] = ret;
			
		}
		
		Console.WriteLine(String.Join("\n",ans));
	}
	
	
	static long mod = (long) 1e9+7;
	static long ModInv(long x){
		long a=0,b=0,c=0;
		if(x==0)return 0;
		ExtGCD(x,mod,ref a,ref b,ref c);
		if(c!=1)return 0;
		return (a+mod)%mod;
	}
	
	static long ModPow(long x,long k){
		if(k == 0)return 1;
		if(x == 0)return 0;
		long ret = 1;
		long xx = x;
		while(k>0){
			if((k&1)==1){ret *= xx; if(ret >= mod) ret %= mod;}
			
			xx *= xx; if(xx >= mod) xx %= mod;
			k>>=1;
		}
		return ret;
	}
	
	static void ExtGCD(long x,long y,ref long a,ref long b,ref long c){
		long r0=x;long r1=y;
		long a0=1;long a1=0;
		long b0=0;long b1=1;
		long q1,r2,a2,b2;
		while(r1>0){
			q1=r0/r1;
			r2=r0%r1;
			a2=a0-q1*a1;
			b2=b0-q1*b1;
			r0=r1;r1=r2;
			a0=a1;a1=a2;
			b0=b1;b1=b2;
		}
		c=r0;
		a=a0;
		b=b0;
	}
	
	
	
	
	
	
	
	int Q;
	int[] M,A;
	public Sol(){
		Q = ri();
		M = new int[Q];
		A = new int[Q];
		for(int i=0;i<Q;i++){
			var d = ria();
			M[i] = d[0];
			A[i] = d[1];
		
		}
	}

	static String rs(){return Console.ReadLine();}
	static int ri(){return int.Parse(Console.ReadLine());}
	static long rl(){return long.Parse(Console.ReadLine());}
	static double rd(){return double.Parse(Console.ReadLine());}
	static String[] rsa(char sep=' '){return Console.ReadLine().Split(sep);}
	static int[] ria(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>int.Parse(e));}
	static long[] rla(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>long.Parse(e));}
	static double[] rda(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>double.Parse(e));}
}