Appendix 4. Benchmark of Tomabechi's "ppmpqs.exe"

The program "ppmpqs.exe" programmed by Mr. Satoshi Tomabechi is one of the most powerful factoring tool and very easy to use.
I have been using this program for factoring during many years, and I collected many data of the execution time of factorization.
The following data covers the range from 81 digits to 93 digits.
The computing environment :

CPU : Pentium III 650MHz, memory 128MB
OS : Window 98

Please refer these data for estimate the time before factoring the number,

• 81 digits, cache parameter = 64

  uppermost 4 digits	time (hh:mm:ss:ss)
  2674	5:06:02:26
  2844	7:26:38:93
  4572	6:33:57:57
  4623	5:19:32:22
  5597	4:48:35:32
  5608	7:09:53:38
  6123	6:46:27:18
  7252	7:34:12:85
  7764	6:17:43:28
  8545	4:57:34:51
  average (5560)	6:12:03:75

• 82 digits, cache parameter = 64

  uppermost 4 digits	time (hh:mm:ss:ss)
  1135	5:53:41:68
  1258	8:19:20:55
  1262	6:28:24:50
  1302	7:09:33:38
  1918	8:02:04:54
  1993	6:50:20:93
  average (1478)	7:07:14:26

• 82 digits, cache parameter = 32

  uppermost 4 digits	time (hh:mm:ss:ss)
  2838	8:26:33:81
  4321	7:49:45:99
  4423	5:45:39:28
  4686	9:25:14:44
  5128	9:02:33:12
  5807	9:33:21:74
  5823	6:50:57:97
  average (4718)	8:07:43:76

• 83 digits, cache parameter = 32

  uppermost 4 digits	time (hh:mm:ss:ss)
  1172	7:39:30:98
  1198	8:48:16:46
  1243	7:32:41:03
  1931	9:55:29:44
  1991	11:23:20:84
  2003	12:04:35:45
  2484	11:12:16:72
  2498	11:31:16:25
  average (1815)	10:00:55:90

• 83 digits, cache parameter = 64

  uppermost 4 digits	time (hh:mm:ss:ss)
  2513	9:06:08:04
  2617	6:32:49:03
  3533	9:59:26:33
  3840	8:01:55:45
  4019	7:23:18:84
  4252	7:50:02:90
  4836	9:26:56:06
  5177	7:46:33:79
  5444	10:50:08:12
  6050	7:50:18:65
  6316	10:27:19:08
  9310	15:15:31:65
  9403	9:23:53:06
  average (5178)	9:13:24:69

• 84 digits, cache parameter = 64

  uppermost 4 digits	time (hh:mm:ss:ss)
  1023	12:31:06:57
  1159	12:27:11:42
  1165	9:47:33:00
  1290	10:05:46:03
  1910	8:44:13:56
  2082	10:16:04:93
  2303	11:19:56:53
  2353	13:09:15:31
  2543	14:35:39:27
  3059	12:48:15:49
  3070	11:04:59:85
  3714	9:34:56:56
  3944	9:19:12:25
  4525	12:55:50:04
  4793	14:06:37:47
  5162	12:58:52:49
  5856	11:00:21:95
  6401	12:38:14:26
  average (3126)	11:38:00:39

• 84 digits, cache parameter = 128

  uppermost 4 digits	time (hh:mm:ss:ss)
  6437	12:10:00:50
  7347	10:40:56:16
  8863	9:43:11:85
  9339	11:51:48:48
  9871	12:41:12:07
  average (8371)	11:25:25:81

• 85 digits, cache parameter = 128

  uppermost 4 digits	time (hh:mm:ss:ss)
  1141	10:47:31:76
  1400	14:54:33:53
  2402	17:15:36:16
  2422	8:21:29:28
  2498	12:42:22:81
  2710	15:07:49:92
  3134	12:48:36:71
  3672	16:50:24:16
  3795	12:01:43:29
  6557	16:11:06:57
  8127	13:54:42:29
  8314	15:29:50:71
  average (3848)	13:52:08:93

• 86 digits, cache parameter = 128

  uppermost 4 digits	time (hh:mm:ss:ss)
  1020	18:49:29:08
  1059	14:11:23:74
  1157	14:08:42:95
  2214	13:41:02:04
  2471	16:51:22:96
  3496	16:03:42:95
  3552	13:23:22:16
  3664	17:53:10:45
  5621	17:53:53:10
  7801	17:59:14:32
  average (3206)	16:05:32:38

• 87 digits, cache parameter = 128

  uppermost 4 digits	time (hh:mm:ss:ss)
  1331	19:47:57:93
  2315	22:11:38:20
  3346	16:17:10:70
  5268	25:34:48:89
  5737	23:21:09:23
  6870	17:45:04:83
  average (4145)	20:49:38:30

• 88 digits, cache parameter = 128

  uppermost 4 digits	time (hh:mm:ss:ss)
  1289	27:42:39:29
  1499	24:56:32:92
  2075	27:11:13:01
  2115	22:43:23:36
  3594	29:17:37:64
  6406	24:43:24:90
  average (2830)	26:05:48:52

• 89 digits, cache parameter = 128

  uppermost 4 digits	time (hh:mm:ss:ss)
  1849	25:27:20:10
  2179	33:43:56:37
  2318	22:57:33:38
  8201	47:11:04:84
  average (3637)	32:19:58:67

• 90 digits, cache parameter = 128

  uppermost 4 digits	time (hh:mm:ss:ss)
  1113	35:26:39:78
  1863	49:00:51:36
  1870	47:17:53:40
  2055	33:41:07:28
  2410	50:55:03:11
  4497	38:56:58:59
  8910	36:54:43:23
  average (3245)	41:44:45:25

• 91 digits, cache parameter = 128

  uppermost 4 digits	time (hh:mm:ss:ss)
  1331	53:27:04:43
  1337	36:59:41:89
  1491	63:38:03:77
  2694	48:09:55:74
  3185	43:20:01:58
  5124	45:54:02:38
  6851	65:10:48:88
  7576	71:13:49:14
  average (3697)	53:29:10:98

• 92 digits, cache parameter = 128

  uppermost 4 digits	time (hh:mm:ss:ss)
  1957	75:08:57:85
  3304	69:22:25:25
  average (2631)	72:15:41:55

• 93 digits, cache parameter = 128

  uppermost 4 digits	time (hh:mm:ss:ss)
  1077	72:01:58:88
  1378	76:27:35:34
  1944	78:02:13:05
  average (1466)	75:30:35:76