.LOG
Inverse Multifactorials

primes of the form n!/n!k+1 or n!/n!k-1

n!/n!! = n!!

n!/n!!!-1 to 8809  [4, 5, 7, 8, 9, 10, 17, 19, 25, 41, 70, 73, 77, 80, 82, 85, 101, 104, 231, 321, 464, 671, 789, 818, 1244, 1322, 1899, 4306, 5757]

n!/n!!!+1 to 30192 [5, 6, 7, 11, 40, 43, 101, 120, 188, 281, 710, 1868, 2082, 2543, 3197, 9548, 13517, 14485, 16250, 16950]
 
n!/n!4-1 to 1404, 5k to 5297, 6k to 9205  [5, 6, 7, 8, 17, 24, 46, 100, 155, 174, 238, 507, 738, 1404]

n!/n!4+1 to 1500 & 6k to 7k [6, 7, 10, 11, 12, 16, 18, 29, 60, 70, 193, 203, 253, 357, 420, 424, 709, 1002, 1427, 6765]

n!/n!5-1 to 2170, 5000 to 8811  [7, 9, 34, 48, 51, 56, 75, 112, 116, 667, 734, 953, 1249, 5875]

n!/n!5+1 to 1000, 7365 to 9252  [10, 11, 14, 17, 20, 26, 30, 31, 36, 43, 46, 148, 270, 326, 370, 866]

n!/n!6-1 to 1500 [7, 12, 18, 23, 38, 41, 57, 78, 133, 140, 279, 321, 426, 460, 488, 959, 1254]

n!/n!6+1 to 1120, 5k to 6k [8, 9, 12, 14, 23, 26, 47, 59, 73, 85, 92, 107, 257, 442, 545, 626, 816, 912, 1120]

n!/n!7-1 to 7360  [8, 11, 12, 26, 37, 44, 72, 134, 205, 228, 289, 431, 783, 977, 3015]

n!/n!7+1 to 2114 & 5k to 6030  [p for 9, 12, 15, 22, 24, 27, 249, 257, 282, 825, 5392]

n!/n!8-1 to 7300  [10, 13, 52, 126, 132, 178, 185, 332, 412, 1032, 1152, 1367, 1405, 1588, 1748, 2010, 2213, 2541, 3707, 6207, 6919]

n!/n!8+1 to 1024 & 5800 to 7842 12/15 [14, 27, 31, 33, 34, 68, 166, 225, 346, 424, 6623]

n!/n!9-1 to 6000  [15, 17, 18, 20, 30, 45, 101, 139, 532, 2237, 2819, 4683] 

n!/n!9+1 to 1024 [15, 16, 22, 27, 81, 109, 306, 445, 802]

n!/n!10-1 to 1024, 3145 to 6804  [13, 19, 25, 26, 37, 40, 46, 206, 322, 614, 985, 3951]

n!/n!10+1 to 1024 & 4k to 6330  [15, 17, 25, 44, 48, 56, 64, 80, 170, 201, 371, 399, 570, 984, 1016, 4734, 5426] 

n!/n!11-1 to 3988, 5k to 6k  [17, 42, 47, 49, 70, 75, 106, 141, 263, 490, 544, 807, 1106, 1992, 2466]

n!/n!11+1 to 1024 & 5k to 6k  [22, 26, 37, 52, 57, 66, 71, 307, 338, 564, 686]

n!/n!12-1 to 1024, 5k to 6k  [13, 16, 17, 18, 20, 26, 39, 42, 74, 81, 132, 145, 291, 330, 356, 475, 589, 669]

n!/n!12+1 to 1024 & 5k to 6k  [18, 34, 50, 87, 329, 331, 521, 579, 5594]

n!/n!13-1 to 1024, 5k to 6k  [19, 22, 31, 62, 81, 114, 232, 295, 305, 554, 619, 756, 839]

n!/n!13+1 to 1024 [21, 46, 126, 148, 172, 200, 209, 226, 398]

n!/n!14-1 to 1024, 5k to 6k  [15, 17, 21, 26, 43, 60, 75, 179, 211, 701, 5834]

n!/n!14+1 to 1024 & 5k to 6k  [24, 33, 39, 76, 232, 242, 270, 706, 823, 837, 5219, 5498]

n!/n!15-1 to 1024 [19, 21, 59, 62, 185, 194, 204]

n!/n!15+1 to 1024 & 5k to 6k  [17, 18, 20, 30, 37, 38, 43, 57, 74, 79, 107, 154, 158, 190]

n!/n!16-1 to 1024 [27, 41, 57, 68, 71, 103, 277, 355, 878]

n!/n!16+1 to 1024 [22, 24, 29, 48, 49, 51, 164, 190, 224, 319, 529]

n!/n!17-1 to 1024 [24, 30, 38, 72, 175, 240, 383, 463, 502, 589]

n!/n!17+1 to 1024 [25, 27, 42, 70, 665]

n!/n!18-1 to 1024 [45, 61, 108, 141, 153, 166, 248, 380]

n!/n!18+1 to 1024 [22, 30, 41, 48, 52, 131, 149, 192, 481, 602, 678, 743, 772]

n!/n!19-1 to 1024 [28, 29, 44, 102, 122, 269, 279, 307, 473, 793, 835, 964]

n!/n!19+1 to 1024 [24, 26, 37, 46, 47, 413, 438, 616]

n!/n!20-1 to 1024 [24, 44, 94, 119, 131, 154, 234, 317, 470, 659, 860]

n!/n!20+1 to 1024 [36, 42, 55, 65, 79, 192, 215, 334, 351, 449, 894]

n!/n!137+1 5000 to 6000  [none]

n!/n!563+1 5000 to 6000 [none]

5500!/5500!k-1 k=16 to 2500  [1704]

5555!/5555!k-1 k=1021 to 2749  [1664, 1863, 2524]

6000!/6000!k-1 k=16 to 3000  [none]

6001!/6001!k-1 k=16 to 3001  [2741]

6002!/6002!k-1 k=16 to 3002  [1273, 1526, 2451]

6003!/6003!k-1 16 to 3002  [2296]

6004!/6004!n-1 n=3 to 3002  [380]

6005!/6005!n-1 n=3 to 270 [none]

comments, suggestions, submissions to harvey563@yahoo.com


3:57 PM 5/21/2007