68,
    67,
    67,
    66,
    66,
    66,
    66
  };

  /*
   * binomial(biggestSimpleBinomials[k], k) doesn't need to use the slower GCD-based impl, but
   * binomial(biggestSimpleBinomials[k] + 1, k) does.
   */
  @VisibleForTesting
  static final int[] biggestSimpleBinomials = {
    Integer.MAX_VALUE,
    Integer.MAX_VALUE,
    Integer.MAX_VALUE,
    2642246,
    86251,

  public void testConstantsBiggestSimpleBinomials() {
    for (int i = 0; i < LongMath.biggestSimpleBinomials.length; i++) {
      int k = i;
      assertTrue(LongMath.biggestSimpleBinomials[k] <= LongMath.biggestBinomials[k]);
      long unused = simpleBinomial(LongMath.biggestSimpleBinomials[k], k); // mustn't throw
      if (LongMath.biggestSimpleBinomials[k] < Integer.MAX_VALUE) {
        // unless all n are fair game with this k