#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <complex>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_map>
#include <vector>

using namespace std;

// BEGIN NO SAD
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
typedef vector<int> vi;
#define f first
#define s second
#define derr if(0) cerr
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}

template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#define debug(x...) cerr << "\e[91m"<<__func__<<":"<<__LINE__<<" [" << #x << "] = ["; _print(x); cerr << "\e[39m" << flush;
// END NO SAD

template<class Fun>
class y_combinator_result {
  Fun fun_;
public:
  template<class T>
  explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}

  template<class ...Args>
  decltype(auto) operator()(Args &&...args) {
    return fun_(std::ref(*this), std::forward<Args>(args)...);
  }
};

template<class Fun>
decltype(auto) y_combinator(Fun &&fun) {
  return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}

template<class T>
bool updmin(T& a, T b) {
  if(b < a) {
    a = b;
    return true;
  }
  return false;
}
template<class T>
bool updmax(T& a, T b) {
  if(b > a) {
    a = b;
    return true;
  }
  return false;
}
typedef int64_t ll;
typedef long double ld;

const int SZ = 2000005;
bool sieve[SZ];
void rsolve() {
  int n, k;
  cin >> n >> k;
  vector<int> v(n);
  for(auto& x: v) cin >> x;
  vector<int> dp(n, -39);
  vector<vector<int>> edges(n);
  auto matching = [&]() -> int {
    vector<int> seen(n);
    int cn = 0;
    auto dfs = y_combinator([&](auto self, int curr) -> bool {
      seen[curr] = cn;
      for(int out: edges[curr]) {
        if(seen[out] == cn) continue;
        seen[out] = cn;
        if(dp[out] == -1 || (dp[out] >= 0 && self(dp[out]))) {
          dp[out] = curr;
          dp[curr] = out;
          return true;
        }
      }
      return false;
    });
    int ret = 0;
    for(int i = 0; i < n; i++) {
      cn++;
      if(dp[i] == -1) ret += dfs(i);
    }
    return ret;
  };
  for(int i = 0; i < n; i++) for(int j = i+1; j < n; j++) {
    if(!sieve[v[i]+v[j]]) {
      edges[i].pb(j);
      edges[j].pb(i);
      dp[i] = -1;
      dp[j] = -1;
    }
  }
  int ret = matching();
  if(ret >= k) cout << 2*k << "\n";
  else {
    int unmatched = 0;
    for(int i = 0; i < n; i++) {
      if(dp[i] == -1) unmatched++;
    }
    cout << 2*ret+min(unmatched, k-ret) << "\n";
  }
}

void solve() {
  sieve[0] = true;
  sieve[1] = true;
  for(int i = 2; i * i < SZ; i++) {
    for(int j = i*i; j < SZ; j += i) sieve[j] = true;
  }
  int t;
  cin >> t;
  while(t--) rsolve();
}

// what would chika do
// are there edge cases (N=1?)
// are array sizes proper (scaled by proper constant, for example 2* for koosaga tree)
// integer overflow?
// DS reset properly between test cases
// are you doing geometry in floating points
// are you not using modint when you should

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  solve();
}