Is using a Random seed in unit tests a good idea?

origo-redis-bitsettests.cs

  [Test]
  public void Length()
  {
      const string key = "a";
      const int limit = 100000;

      //seed is random but included in output if test fails
      var seed = new Random().Next();
      var r = new Random(seed);
      int max = 0;
      for (int i = 0; i < 1000; i++)
      {
          int index = r.Next(limit);
          max = Math.Max(index, max);
          _target.SetBit(key, index);
          var actual = _target.StrLength(key);
          Assert.AreEqual(max + 1, actual, "failed at iteration " + i + "using seed " + seed);
      }
  }