#include<bits/stdc++.h>
#include<atcoder/modint>
using namespace std;

vector<bool> isprime;
vector<int> sieve(int n){
  vector<int> prime;
  isprime=vector<bool>(n+1,true);
  isprime[1]=false;
  for (int i=2;i<=n;i++){
    if (!isprime[i]) continue;
    prime.push_back(i);
    for (int j=i*2;j<=n;j+=i){
      isprime[j]=false;
    }
  }
  return prime;
}

template<typename T,int N>
struct Matrix{
  array<array<T,N>,N> val;
  Matrix(){
    for (int i=0;i<N;i++) for (int j=0;j<N;j++) val[i][j]=T(0);
  }

  array<T,N> &operator[](int i){return val[i];}
	const array<T,N> &operator[](int i)const{return val[i];}
  Matrix operator*(const Matrix &b){
    Matrix a=*this,c;
    for (int i=0;i<N;i++){
      for (int j=0;j<N;j++){
        for (int k=0;k<N;k++){
          c[i][j]+=a[i][k]*b[k][j];
        }
      }
    }
    return c;
  }

  Matrix e(){
    Matrix ret;
    for (int i=0;i<N;i++) ret.val[i][i]=1;
    return ret;
  }

  Matrix pow(long long k){
    Matrix ret=e(),m=*this;
    while (k>0){
      if (k%2==1) ret=ret*m;
      m=m*m;
      k/=2;
    }
    return ret;
  }
};

using mint=atcoder::modint998244353;
using mat=Matrix<mint,2>;

void solve(){
  int n,m;
  cin>>n>>m;
  sieve(m);
  isprime[0]=false;
  if (n==1){
    int ans=0;
    for (int i=0;i<=m;i++) ans+=isprime[i];
    cout<<ans<<endl;
    return;
  }
  int cnt=0;
  for (int i=0;i<=m;i++) cnt+=(i^2)<=m&&isprime[i]&&isprime[i^2];
  mat mat;
  mat[0]={0,1};
  mat[1]={cnt,1};
  mat=mat.pow(n-1);
  mint ans=1*(mat[0][0]+mat[1][0])+cnt*(mat[0][1]+mat[1][1]);
  cout<<ans.val()<<endl;
}

int main(){
  int t;
  cin>>t;
  while (t--) solve();
}