Update v(1) stats with full 1000000 test sample

cal/lucas.cal

@@ -805,62 +805,64 @@ rodseth_xhn(x, h, n)
  *
  * The above distribution was found to hold fairly well over many values of
  * odd h that are also a multiple of 3 and for many values of n where h < 2^n.
- * For example for in a sample size of 835823 numbers of the form h*2^n-1
+ * For example for in a sample size of 1000000 numbers of the form h*2^n-1
- * where odd h >= 12996351 is a multiple of 3, n >= 12996351, these are the
+ * where h is an odd multiple of 3, 13002351 >= h >= 12996351,
- * smallest v(1) values that were found:
+ * 4332116 >= n >= 12996351, these are the smallest v(1) values that were found:
  *
  *  smallest percentage
  *	v(1) used
  *  -------------------
- *	   3 40.000%
+ *         3 40.0000%
- *	   5 25.683%
+ *         5 25.6833%
- *	   9 11.693%
+ *         9 11.6924%
- *	  11 10.452%
+ *        11 10.4528%
- *	  15 4.806%
+ *        15 4.8048%
- *	  17 2.348%
+ *        17 2.3458%
- *	  21 1.656%
+ *        21 1.6568%
- *	  29 1.281%
+ *        29 1.2814%
- *	  27 0.6881%
+ *        27 0.6906%
- *	  35 0.4536%
+ *        35 0.4529%
- *	  39 0.3121%
+ *        39 0.3140%
- *	  41 0.1760%
+ *        41 0.1737%
- *	  31 0.1414%
+ *        31 0.1413%
- *	  45 0.1173%
+ *        45 0.1173%
- *	  51 0.05576%
+ *        51 0.0526%
- *	  55 0.03300%
+ *        55 0.0350%
- *	  49 0.03185%
+ *        49 0.0332%
- *	  59 0.02090%
+ *        59 0.0218%
- *	  69 0.00980%
+ *        69 0.0099%
- *	  65 0.009367%
+ *        65 0.0085%
- *	  71 0.007205%
+ *        71 0.0073%
- *	  57 0.006341%
+ *        57 0.0062%
- *	  85 0.004611%
+ *        85 0.0048%
- *	  81 0.004179%
+ *        81 0.0044%
- *	  95 0.002882%
+ *        95 0.0028%
- *	  99 0.001873%
+ *        99 0.0017%
- *	  77 0.001153%
+ *        77 0.0009%
- *	  53 0.0007205%
+ *        53 0.0008%
- *	  67 0.0005764%
+ *        67 0.0004%
- *	 125 0.0005764%
+ *       105 0.0004%
- *	 105 0.0005764%
+ *       111 0.0004%
- *	  87 0.0004323%
+ *       125 0.0004%
- *	 111 0.0004323%
+ *        87 0.0003%
- *	 101 0.0002882%
+ *       101 0.0002%
- *	  83 0.0001441%
+ *        83 0.0001%
- *	 129 0.0001196%
+ *       109 0.0001%
+ *       121 0.0001%
+ *       129 0.0001%
  *
  * When h * 2^n-1 is prime and h is an odd multiple of 3, a smallest v(1) that
  * is even is extremely rate.  Of the list of 127287 known primes of the form
  * h*2^n-1 when h was a multiple of 3, none has an smallest v(1) that was even.
  *
- * About 1 out of 835000 cases when h is a multiple of 3 use v(1) > 127 as the
+ * About 1 out of 1000000 cases when h is a multiple of 3 use v(1) > 127 as the
  * smallest value of v(1).
  *
  * Given this information, when odd h is a multiple of 3 we try, in order,
  * these sorted values of X:
  *
- *      3, 5, 9, 11, 15, 17, 21, 27, 29, 31, 35, 39, 41, 45, 49, 51, 53, 55,
+ *  3, 5, 9, 11, 15, 17, 21, 27, 29, 31, 35, 39, 41, 45, 49, 51, 53, 55, 57, 59,
- *	57, 59, 65, 67, 69, 71, 77, 81, 83, 85, 87, 95, 99, 101, 105, 111, 125
+ *  65, 67, 69, 71, 77, 81, 83, 85, 87, 95, 99, 101, 105, 109, 111, 121, 125
  *
  * And stop on the first value of X where:
  *
@@ -874,11 +876,11 @@ rodseth_xhn(x, h, n)
  * If all x_tbl_len fail to satisfy Ref4 condition 1, then we begin a
  * linear search at next_x until we find a proper X value.
  */
-x_tbl_len = 35;
+x_tbl_len = 38;
 mat x_tbl[x_tbl_len];
 x_tbl = {
-    3, 5, 9, 11, 15, 17, 21, 27, 29, 31, 35, 39, 41, 45, 49, 51, 53, 55,
+    3, 5, 9, 11, 15, 17, 21, 27, 29, 31, 35, 39, 41, 45, 49, 51, 53, 55, 57, 59,
-    57, 59, 65, 67, 69, 71, 77, 81, 83, 85, 87, 95, 99, 101, 105, 111, 125
+    65, 67, 69, 71, 77, 81, 83, 85, 87, 95, 99, 101, 105, 109, 111, 121, 125
 };
 next_x = 129;