--description--

The primes 3, 7, 109, and 673, are quite remarkable. By taking any two primes and concatenating them in any order the result will always be prime. For example, taking 7 and 109, both 7109 and 1097 are prime. The sum of these four primes, 792, represents the lowest sum for a set of four primes with this property.

Find the lowest sum for a set of five primes for which any two primes concatenate to produce another prime.

--hints--

primePairSets() should return a number.

assert(typeof primePairSets() === 'number');

primePairSets() should return 26033.

assert.strictEqual(primePairSets(), 26033);

--seed--

--seed-contents--

function primePairSets() {

  return true;
}

primePairSets();

--solutions--

// solution required