Database for k-b-b's: - Page 5

kar_bon · 2010-08-30, 20:00

Quote:

Originally Posted by 3.14159

I spent 330 minutes of my time collecting these. Why not help me out?

I did!

3.14159 · 2010-08-30, 20:04

Quote:

Originally Posted by Karsten

I did!

Okay, nevermind, I'm working on it. I'll notify you when I'm done.

Working on 501 to 750 afterwards

kar_bon · 2010-08-30, 20:32

Quote:

Originally Posted by 3.14159

I spent 330 minutes of my time collecting these.

You should even spend more time in those lists: the data for b=120 and b=126 are broken (ending with 7xxx)!

3.14159 · 2010-08-30, 20:39

Here's the data for 126:

Code:

158*126^126+1
643*126^126+1
646*126^126+1
680*126^126+1
846*126^126+1
868*126^126+1
1392*126^126+1
1427*126^126+1
1490*126^126+1
1605*126^126+1
1626*126^126+1
1727*126^126+1
1955*126^126+1
2003*126^126+1
2281*126^126+1
2385*126^126+1
2516*126^126+1
2595*126^126+1
2670*126^126+1
2788*126^126+1
2942*126^126+1
3033*126^126+1
3097*126^126+1
3378*126^126+1
3718*126^126+1
3755*126^126+1
3835*126^126+1
3868*126^126+1
3881*126^126+1
3933*126^126+1
4001*126^126+1
4066*126^126+1
4128*126^126+1
4216*126^126+1
4287*126^126+1
4370*126^126+1
4495*126^126+1
4538*126^126+1
4671*126^126+1
4777*126^126+1
4865*126^126+1
4940*126^126+1
5190*126^126+1
5201*126^126+1
5312*126^126+1
5410*126^126+1
5593*126^126+1
5653*126^126+1
5703*126^126+1
5790*126^126+1
5818*126^126+1
5957*126^126+1
6203*126^126+1
6688*126^126+1
6748*126^126+1
6755*126^126+1
7013*126^126+1
7063*126^126+1
7212*126^126+1
7285*126^126+1
7648*126^126+1
7722*126^126+1
8138*126^126+1
8707*126^126+1
8766*126^126+1
9258*126^126+1
9652*126^126+1

Here's the data for 120:

Code:

79*120^120+1
466*120^120+1
485*120^120+1
535*120^120+1
625*120^120+1
796*120^120+1
862*120^120+1
893*120^120+1
997*120^120+1
1307*120^120+1
1568*120^120+1
1664*120^120+1
1757*120^120+1
1879*120^120+1
2150*120^120+1
2271*120^120+1
2471*120^120+1
2648*120^120+1
2721*120^120+1
2769*120^120+1
2983*120^120+1
2990*120^120+1
3381*120^120+1
3532*120^120+1
3549*120^120+1
3927*120^120+1
3972*120^120+1
3974*120^120+1
4056*120^120+1
4123*120^120+1
4139*120^120+1
4295*120^120+1
4313*120^120+1
4324*120^120+1
4814*120^120+1
4867*120^120+1
4921*120^120+1
5216*120^120+1
5314*120^120+1
5339*120^120+1
5401*120^120+1
5562*120^120+1
5644*120^120+1
5756*120^120+1
5843*120^120+1
6296*120^120+1
6471*120^120+1
6777*120^120+1
6787*120^120+1
7079*120^120+1
7269*120^120+1
7278*120^120+1
7381*120^120+1
7414*120^120+1
7709*120^120+1
7725*120^120+1
7806*120^120+1
7928*120^120+1
8034*120^120+1
8043*120^120+1
8201*120^120+1
8522*120^120+1
8662*120^120+1
8727*120^120+1
9053*120^120+1
9163*120^120+1
9506*120^120+1
9599*120^120+1
9856*120^120+1
9858*120^120+1
9971*120^120+1

3.14159 · 2010-08-30, 21:00

Notify me of any more errors I may have made in transmission.

Karsten:

Data, converted (Partially done:)

Code:

251: 708, 1066, 2577, 3541, 4167, 4320, 4512, 4542, 5341, 5406, 6162, 6637, 7077, 7900, 8956, 0
252: 894, 2024, 3620, 3650, 5090, 5180, 6816, 7820, 7860, 8280, 9944, 0
253: 392, 973, 1909, 2452, 3678, 4218, 4702, 5568, 6760, 6970, 7802, 7968, 8845, 9529, 9658, 0
254: 342, 468, 3562, 3958, 4534, 9132, 0
255: 46, 136, 400, 1893, 2094, 2373, 2781, 2800, 3060, 3193, 4260, 5293, 5479, 5743, 6703, 7392, 7449, 7564, 7591, 8253, 8647, 9174, 0
256: 2056, 2738, 3686, 4496, 4532, 4716, 5426, 5952, 6482, 7452, 7558, 8598, 9172, 0
257: 823, 2235, 2244, 2685, 5247, 5445, 5617, 8592, 9208, 9877, 0
258: 1356, 1568, 4034, 4316, 5198, 8958, 0
259: 175, 442, 1510, 2220, 2467, 3283, 3630, 3993, 4103, 4988, 5106, 5322, 5581, 6858, 6883, 7283, 7627, 7883, 8855, 9821, 0
260: 300, 1362, 4144, 4326, 4416, 4746, 6580, 6646, 6954, 8892, 0
261: 652, 1470, 3043, 3178, 4521, 5301, 5757, 5926, 6006, 6955, 8490, 9517, 0
262: 234, 2486, 2506, 3290, 4610, 4974, 7254, 7302, 0
263: 573, 751, 960, 1113, 1498, 1696, 2337, 4075, 4180, 4282, 7791, 8485, 9517, 0
264: 230, 6002, 6974, 8394, 0
265: 717, 847, 1096, 1989, 2156, 2272, 2409, 2776, 4891, 7228, 7505, 7871, 7905, 7973, 8311, 8459, 8659, 9247, 0
266: 112, 348, 1206, 3430, 4578, 4962, 8806, 0
267: 406, 1516, 2383, 2656, 4162, 4548, 5331, 5400, 5647, 6856, 6877, 7555, 7956, 8155, 9712, 0
268: 140, 1862, 2594, 3792, 7134, 0
269: 456, 576, 1635, 2263, 2542, 2955, 3526, 3570, 4273, 4357, 4681, 5187, 5248, 6081, 7176, 8428, 9108, 9300, 9457, 0
270: 1890, 2172, 5270, 5370, 5658, 6182, 0
271: 163, 546, 1157, 2426, 2427, 2455, 3056, 3766, 3810, 3978, 4247, 4440, 5366, 5903, 6087, 6328, 7605, 9348, 0
272: 748, 2298, 3040, 3268, 3550, 8094, 8784, 9240, 0
273: 637, 1759, 1885, 1947, 3294, 4398, 4594, 4738, 4935, 5575, 6769, 7507, 8287, 0
274: 482, 2212, 3792, 4170, 4228, 5282, 8124, 9050, 0
275: 27, 181, 396, 1300, 2800, 3400, 3480, 3556, 3694, 4563, 5211, 5437, 5578, 5737, 6307, 6802, 7195, 7306, 8977, 9319, 9436, 9456, 9639, 0
276: 18, 452, 600, 5112, 7212, 9312, 9558, 0
277: 14, 39, 589, 738, 1044, 1472, 1992, 3372, 4370, 5077, 5455, 5772, 5817, 5932, 7028, 7673, 8155, 8838, 9369, 9563, 9679, 0
278: 946, 1786, 1974, 2850, 5640, 5704, 6244, 7330, 8568, 8614, 9820, 0
279: 2331, 2457, 3528, 3862, 4381, 5935, 7221, 8203, 9465, 0
280: 350, 356, 1330, 1400, 1874, 3150, 3572, 4172, 4658, 7324, 7522, 7818, 9112, 0
281: 3, 31, 267, 346, 508, 1002, 1108, 1285, 3313, 4011, 6087, 6751, 7126, 7551, 8176, 8641, 9156, 0
282: 1172, 4152, 4950, 5220, 6684, 7334, 8460, 8532, 0
283: 422, 621, 1771, 2422, 5457, 5513, 7962, 8716, 9581, 0
284: 568, 630, 3040, 3178, 5322, 6802, 9184, 9834, 0
285: 103, 930, 1845, 2251, 3045, 4204, 4288, 4789, 5623, 6256, 6888, 7324, 8236, 0
286: 322, 1128, 2742, 3370, 4722, 6718, 8440, 0
287: 658, 1062, 1638, 1660, 2238, 2377, 2626, 2695, 3597, 4158, 4362, 4540, 4657, 5481, 6052, 7096, 0
288: 312, 1260, 3344, 3674, 6750, 7026, 9846, 0
289: 172, 805, 1063, 1775, 1973, 2590, 2607, 2723, 3876, 4145, 4198, 4321, 4402, 4412, 4835, 5262, 5928, 7068, 7183, 7926, 8655, 9181, 9767, 0
290: 262, 354, 2700, 2830, 4288, 6310, 9504, 9894, 0
291: 918, 2178, 3175, 3765, 6388, 7153, 7542, 8880, 9768, 0
292: 408, 4746, 5070, 6106, 7294, 7556, 7740, 8378, 0

Ignore the zeroes.

3.14159 · 2010-08-30, 23:43

Up to b = 576.

kar_bon · 2010-08-31, 01:20

Next issue in your file given in post #35:

Code:

(...)
9504*295^295+1
9894*295^295+1
9465*284^284+1
918*296^296+1
2178*296^296+1
(...)

So a script will do what it is supposed to do and errors like this in a file with thousands of numbers will be hard to catch and the resulting table is useless, if there're so much errors in it!

3.14159 · 2010-08-31, 04:01

Quote:

Originally Posted by Karsten

So a script will do what it is supposed to do and errors like this in a file with thousands of numbers will be hard to catch and the resulting table is useless, if there're so much errors in it!

Ah, shit. This is why I require a script.

P.S: I skimmed through and found a few b values that were missed: And, Karsten: If you see nothing for 487, it is because 487 is the smallest no-hitter for the k-range.

CRGreathouse · 2010-08-31, 04:13

Quote:

Originally Posted by 3.14159

Ah, shit. This is why I require a script.

Perl? Pari? Python?

CRGreathouse · 2010-08-31, 05:42

Here are the first 1000 terms of A175763, Least k such that k*n^n + 1 is prime:

Code:

1, 1, 4, 1, 12, 3, 4, 10, 10, 3, 86, 2, 40, 31, 28, 12, 8, 2, 34, 19, 28, 19, 116, 75, 4, 15, 110, 7, 8, 79, 42, 36, 14, 112, 80, 11, 30, 67, 78, 226, 170, 108, 96, 205, 272, 18, 54, 98, 42, 15, 78, 63, 362, 115, 292, 40, 170, 60, 350, 16, 366, 108, 234, 448, 128, 63, 42, 72, 262, 75, 248, 115, 106, 258, 984, 106, 218, 82, 384, 102, 176, 163, 446, 206, 16, 120, 10, 301, 228, 135, 132, 280, 92, 46, 294, 30, 124, 145, 348, 90, 446, 317, 414, 262, 152, 600, 354, 198, 402, 121, 548, 843, 512, 687, 634, 60, 114, 72, 914, 79, 898, 225, 694, 100, 188, 158, 276, 168, 208, 375, 1280, 10, 1494, 228, 14, 55, 816, 372, 58, 27, 308, 1105, 36, 238, 502, 222, 166, 313, 534, 253, 60, 606, 366, 25, 60, 112, 96, 643, 222, 82, 866, 190, 204, 348, 424, 1098, 72, 1187, 42, 115, 82, 430, 956, 427, 460, 457, 350, 165, 2370, 159, 48, 373, 28, 22, 1580, 187, 3132, 751, 2602, 432, 818, 596, 370, 357, 40, 66, 684, 99, 1152, 58, 48, 427, 776, 96, 702, 1122, 156, 600, 24, 17, 1156, 1222, 1462, 366, 1152, 243, 40, 499, 1428, 198, 1056, 65, 564, 505, 12, 525, 2712, 131, 850, 388, 800, 165, 84, 515, 826, 633, 2256, 249, 3918, 52, 592, 117, 1248, 595, 84, 625, 1090, 403, 812, 55, 2, 61, 2742, 162, 962, 708, 894, 392, 342, 46, 2056, 823, 1356, 175, 300, 652, 234, 573, 230, 717, 112, 406, 140, 456, 1890, 163, 748, 637, 482, 27, 18, 14, 946, 2331, 350, 3, 1172, 422, 568, 103, 322, 658, 312, 172, 262, 918, 408, 249, 1140, 315, 3336, 735, 858, 1326, 3470, 877, 3412, 525, 774, 2860, 96, 261, 334, 777, 10, 2175, 2216, 683, 3034, 93, 18, 1072, 1454, 966, 1120, 925, 1514, 2401, 830, 663, 820, 270, 806, 1383, 6990, 693, 1726, 39, 98, 337, 1646, 374, 2614, 2962, 2152, 790, 4794, 338, 1308, 96, 186, 910, 6096, 427, 4174, 1095, 234, 1510, 1400, 288, 1506, 1065, 1644, 1036, 2348, 518, 5316, 76, 320, 760, 432, 861, 1954, 18, 584, 646, 360, 453, 1162, 15, 4290, 280, 476, 275, 4422, 2301, 392, 2535, 902, 1226, 1330, 721, 2296, 2325, 1028, 1521, 5974, 1324, 2398, 253, 386, 424, 1768, 652, 250, 102, 2816, 1012, 252, 1063, 1080, 2010, 902, 932, 3948, 2592, 154, 1038, 3870, 299, 726, 493, 2806, 2068, 1712, 1083, 436, 193, 152, 283, 746, 822, 1234, 783, 1558, 1096, 66, 1564, 1822, 61, 576, 942, 1976, 956, 2514, 1528, 2620, 877, 2738, 3, 1228, 1771, 412, 813, 2120, 348, 2650, 6753, 2524, 160, 8558, 49, 8578, 795, 360, 1330, 1884, 161, 580, 892, 338, 808, 2172, 4480, 3264, 1111, 1506, 4495, 1584, 400, 5250, 709, 1484, 1008, 1542, 955, 14730, 673, 1834, 412, 1530, 1001, 4236, 63, 14, 1422, 884, 878, 958, 987, 238, 1555, 3146, 942, 7266, 2215, 510, 336, 3468, 438, 5542, 807, 2716, 955, 684, 413, 354, 2104, 3140, 169, 2366, 82, 5098, 4287, 396, 205, 126, 388, 612, 150, 2242, 388, 2480, 255, 2418, 8197, 1320, 1317, 1844, 1904, 6108, 652, 4316, 1891, 6314, 908, 784, 3222, 3954, 1621, 3588, 215, 2326, 1593, 420, 672, 2634, 1290, 58, 1626, 3838, 568, 794, 3642, 286, 4245, 2806, 7221, 15708, 511, 3898, 927, 936, 571, 642, 197, 4128, 324, 1820, 3052, 2168, 2915, 11206, 448, 460, 478, 3804, 73, 864, 529, 4270, 6, 2744, 635, 6000, 1450, 3690, 2667, 6878, 157, 660, 400, 3158, 97, 3494, 921, 1584, 3628, 1830, 430, 1292, 16, 126, 232, 2496, 196, 10070, 758, 1302, 2949, 3460, 1312, 1238, 171, 2658, 753, 946, 256, 648, 762, 9130, 2422, 424, 1105, 9386, 983, 244, 1282, 3122, 2596, 3200, 275, 5674, 2430, 3040, 13, 2726, 1482, 4104, 1255, 998, 987, 1676, 110, 4626, 2866, 1104, 1012, 4352, 165, 546, 3102, 4878, 1543, 2526, 197, 6990, 2395, 4692, 3394, 4596, 5496, 5896, 2323, 1140, 4432, 5010, 564, 2880, 7459, 316, 249, 1026, 1345, 954, 232, 6360, 4621, 8, 72, 6942, 2676, 4090, 1491, 872, 982, 1590, 3570, 6244, 321, 2420, 870, 1608, 235, 1998, 1191, 4124, 4163, 1534, 2407, 4482, 1090, 2226, 201, 1656, 861, 1780, 465, 9734, 1488, 186, 798, 858, 4425, 410, 295, 3930, 916, 1974, 387, 6326, 631, 7114, 2871, 1234, 1621, 3014, 6344, 1404, 1815, 5806, 1978, 870, 686, 3340, 3730, 2860, 5310, 4010, 873, 19212, 1140, 164, 7281, 7560, 91, 9280, 102, 740, 1108, 3392, 848, 2130, 2065, 292, 1995, 2850, 276, 4032, 552, 1298, 957, 5852, 6876, 3804, 42, 816, 210, 10548, 2641, 3900, 8080, 2824, 3271, 1646, 6387, 616, 2727, 2242, 5722, 770, 17, 616, 2277, 1068, 231, 1796, 759, 12414, 2857, 4528, 4353, 1506, 918, 286, 2058, 1732, 541, 6650, 913, 2538, 1128, 910, 1176, 3522, 5367, 1624, 1129, 2784, 2094, 5282, 2555, 5028, 1906, 1946, 3927, 9446, 6006, 1774, 2568, 1958, 1725, 224, 3248, 928, 301, 5316, 1065, 740, 2867, 3318, 2158, 116, 2256, 2322, 107, 40, 760, 11334, 1786, 6318, 431, 954, 91, 1576, 2098, 22484, 80, 2010, 8107, 2566, 9252, 6936, 355, 4048, 2656, 42, 1137, 2282, 5097, 15816, 2395, 320, 8691, 5106, 4337, 504, 3178, 8950, 2949, 3768, 462, 10096, 4578, 1950, 1242, 2646, 6081, 270, 133, 5936, 1765, 5430, 1762, 4638, 7117, 5800, 1849, 8408, 3851, 402, 3757, 1624, 1092, 2498, 1250, 6394, 3595, 3440, 2184, 3666, 215, 924, 4213, 994, 1612, 1226, 1659, 22050, 5634, 348, 4963, 3198, 152, 2880, 235, 5966, 2215, 1314, 280, 150, 63, 1122, 3931, 348, 1408, 2266, 63, 198, 3957, 5130, 2998, 624, 1396, 1522, 8001, 11612, 2237, 6600, 7368, 3990, 1692, 5000, 4376, 748, 5122, 1326, 3132, 1244, 2240, 1692, 2854, 6914, 4351, 6600, 3368, 1414, 8235, 6152, 193, 18966, 3451, 16726, 6808, 12100, 3217, 114, 500, 1650, 1081, 5042, 6453, 6384, 206, 5676, 462, 502, 213, 6090, 21, 16458, 5638, 29696, 9496, 2888, 670, 8956, 9657, 9368, 1981

Pi, if you'd like you can check this against your own data.

CRGreathouse · 2010-08-31, 05:44

Quote:

Originally Posted by 3.14159

Karsten: If you see nothing for 487, it is because 487 is the smallest no-hitter for the k-range.

Yeah, nothing until 14730 for that one. The next "no-hitters", as you call them, are 569, 583, 617, 751, 779, 799, 849, 857, 871, 883, 919, 947, 971, 973, 975, 991, and 993. 993 in particular was a real pain, with k-value 29696.

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2010-08-30, 23:43	#50
3.14159 May 2010 Prime hunting commission. 2⁴·3·5·7 Posts	Up to b = 576.

2010-08-31, 01:20	#51
kar_bon Mar 2006 Germany 2³·3·11² Posts	Next issue in your file given in post #35: Code: (...) 9504295^295+1 9894295^295+1 9465284^284+1 918296^296+1 2178*296^296+1 (...) So a script will do what it is supposed to do and errors like this in a file with thousands of numbers will be hard to catch and the resulting table is useless, if there're so much errors in it!