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sweety439 2018-05-31 15:11

[QUOTE=sweety439;488721]k = 529, 900, 5776, 6889, 16641, and 18496 proven composite by partial algebraic factors.

k = 637 proven composite by partial algebraic factors.

Thus R52 has only 532 k's remain:

{82, 139, 233, 239, 349, 363, 372, 472, 476, 478, 547, 557, 607, 613, 654, 657, 796, 813, 902, 931, 991, 1012, 1069, 1104, 1161, 1167, 1231, 1234, 1271, 1357, 1502, 1534, 1589, 1591, 1651, 1669, 1711, 1801, 1881, 1909, 1966, 2035, 2049, 2113, 2227, 2364, 2384, 2437, 2492, 2557, 2578, 2643, 2722, 2725, 2767, 2769, 3022, 3073, 3106, 3128, 3163, 3199, 3229, 3277, 3298, 3418, 3423, 3550, 3559, 3607, 3637, 3656, 3764, 3788, 3847, 3870, 3921, 4003, 4036, 4043, 4117, 4195, 4239, 4264, 4294, 4329, 4347, 4348, 4366, 4534, 4561, 4582, 4597, 4665, 4754, 4762, 4824, 4876, 4894, 4975, 4981, 5037, 5056, 5107, 5142, 5158, 5236, 5239, 5246, 5299, 5541, 5575, 5672, 5836, 5882, 6190, 6193, 6256, 6308, 6361, 6394, 6424, 6434, 6442, 6462, 6493, 6568, 6589, 6619, 6628, 6697, 6732, 6835, 6873, 6962, 6981, 6997, 7228, 7252, 7288, 7386, 7399, 7408, 7594, 7603, 7631, 7633, 7727, 7797, 7799, 7847, 7879, 7894, 7936, 8008, 8032, 8138, 8161, 8163, 8201, 8248, 8257, 8377, 8389, 8422, 8488, 8587, 8637, 8641, 8691, 8693, 8713, 8744, 8903, 8932, 8958, 9053, 9055, 9144, 9148, 9187, 9223, 9382, 9400, 9421, 9433, 9436, 9472, 9624, 9647, 9654, 9667, 9682, 9699, 9753, 9769, 9782, 9799, 9802, 9808, 9854, 9859, 9892, 9907, 9928, 9967, 10056, 10069, 10129, 10134, 10173, 10174, 10237, 10243, 10306, 10429, 10462, 10489, 10546, 10618, 10645, 10792, 10806, 10917, 10919, 10954, 10984, 10996, 11161, 11164, 11290, 11297, 11299, 11326, 11355, 11371, 11394, 11401, 11500, 11656, 11677, 11698, 11722, 11767, 11826, 11827, 11833, 11854, 11926, 12064, 12074, 12116, 12133, 12148, 12186, 12212, 12239, 12304, 12352, 12401, 12405, 12423, 12428, 12449, 12454, 12668, 12688, 12694, 12719, 12827, 12889, 12928, 12931, 13025, 13031, 13045, 13196, 13198, 13264, 13297, 13306, 13324, 13357, 13372, 13392, 13461, 13551, 13673, 13687, 13719, 13786, 13856, 13999, 14044, 14065, 14101, 14116, 14179, 14234, 14266, 14309, 14453, 14584, 14589, 14647, 14682, 14692, 14698, 14736, 14759, 14786, 14827, 14833, 14947, 14968, 14998, 15007, 15010, 15022, 15051, 15109, 15124, 15139, 15154, 15181, 15212, 15244, 15265, 15316, 15370, 15574, 15677, 15688, 15733, 15899, 15928, 15937, 16007, 16039, 16087, 16096, 16111, 16216, 16227, 16293, 16308, 16324, 16342, 16388, 16429, 16535, 16614, 16714, 16726, 16729, 16748, 16836, 16854, 16884, 16897, 16906, 16927, 16963, 17092, 17102, 17182, 17197, 17224, 17229, 17277, 17311, 17418, 17423, 17438, 17489, 17714, 17734, 17754, 17782, 17821, 17882, 17911, 17916, 17989, 18148, 18604, 18670, 18709, 18757, 18761, 18787, 18871, 18876, 18883, 18899, 18903, 19024, 19026, 19028, 19079, 19098, 19102, 19132, 19142, 19163, 19189, 19282, 19344, 19357, 19363, 19549, 19556, 19558, 19594, 19609, 19672, 19678, 19821, 19876, 19946, 19982, 20008, 20088, 20094, 20139, 20212, 20267, 20308, 20318, 20359, 20395, 20417, 20616, 20649, 20793, 20821, 20881, 20883, 20983, 21013, 21016, 21049, 21092, 21148, 21151, 21235, 21307, 21316, 21368, 21403, 21404, 21413, 21464, 21526, 21537, 21572, 21676, 21684, 21729, 21757, 21784, 21796, 21803, 21804, 21837, 21859, 21866, 21898, 22096, 22146, 22180, 22216, 22308, 22312, 22324, 22383, 22406, 22429, 22447, 22456, 22459, 22471, 22528, 22566, 22643, 22688, 22704, 22723, 22738, 22744, 22771, 22789, 22842, 22846, 22874, 22887, 23056, 23191, 23215, 23268, 23315, 23344, 23377, 23427, 23518, 23531, 23533, 23584, 23692, 23759, 23773, 23829, 23924, 23991, 24042, 24175, 24244, 24331, 24403, 24412, 24448, 24503, 24544, 24553, 24557, 24591, 24646, 24671, 24752, 24763, 24856, 24911}[/QUOTE]

These k's are from the same family:

{82, 4264}
{139, 7228}
{233, 12116}
{239, 12428}
{349, 18148}
{363, 18876}
{372, 19344}
{472, 24544}
{476, 24752}
{478, 24856}

Thus R52 has only 522 k's remain:

{82, 139, 233, 239, 349, 363, 372, 472, 476, 478, 547, 557, 607, 613, 654, 657, 796, 813, 902, 931, 991, 1012, 1069, 1104, 1161, 1167, 1231, 1234, 1271, 1357, 1502, 1534, 1589, 1591, 1651, 1669, 1711, 1801, 1881, 1909, 1966, 2035, 2049, 2113, 2227, 2364, 2384, 2437, 2492, 2557, 2578, 2643, 2722, 2725, 2767, 2769, 3022, 3073, 3106, 3128, 3163, 3199, 3229, 3277, 3298, 3418, 3423, 3550, 3559, 3607, 3637, 3656, 3764, 3788, 3847, 3870, 3921, 4003, 4036, 4043, 4117, 4195, 4239, 4294, 4329, 4347, 4348, 4366, 4534, 4561, 4582, 4597, 4665, 4754, 4762, 4824, 4876, 4894, 4975, 4981, 5037, 5056, 5107, 5142, 5158, 5236, 5239, 5246, 5299, 5541, 5575, 5672, 5836, 5882, 6190, 6193, 6256, 6308, 6361, 6394, 6424, 6434, 6442, 6462, 6493, 6568, 6589, 6619, 6628, 6697, 6732, 6835, 6873, 6962, 6981, 6997, 7252, 7288, 7386, 7399, 7408, 7594, 7603, 7631, 7633, 7727, 7797, 7799, 7847, 7879, 7894, 7936, 8008, 8032, 8138, 8161, 8163, 8201, 8248, 8257, 8377, 8389, 8422, 8488, 8587, 8637, 8641, 8691, 8693, 8713, 8744, 8903, 8932, 8958, 9053, 9055, 9144, 9148, 9187, 9223, 9382, 9400, 9421, 9433, 9436, 9472, 9624, 9647, 9654, 9667, 9682, 9699, 9753, 9769, 9782, 9799, 9802, 9808, 9854, 9859, 9892, 9907, 9928, 9967, 10056, 10069, 10129, 10134, 10173, 10174, 10237, 10243, 10306, 10429, 10462, 10489, 10546, 10618, 10645, 10792, 10806, 10917, 10919, 10954, 10984, 10996, 11161, 11164, 11290, 11297, 11299, 11326, 11355, 11371, 11394, 11401, 11500, 11656, 11677, 11698, 11722, 11767, 11826, 11827, 11833, 11854, 11926, 12064, 12074, 12133, 12148, 12186, 12212, 12239, 12304, 12352, 12401, 12405, 12423, 12449, 12454, 12668, 12688, 12694, 12719, 12827, 12889, 12928, 12931, 13025, 13031, 13045, 13196, 13198, 13264, 13297, 13306, 13324, 13357, 13372, 13392, 13461, 13551, 13673, 13687, 13719, 13786, 13856, 13999, 14044, 14065, 14101, 14116, 14179, 14234, 14266, 14309, 14453, 14584, 14589, 14647, 14682, 14692, 14698, 14736, 14759, 14786, 14827, 14833, 14947, 14968, 14998, 15007, 15010, 15022, 15051, 15109, 15124, 15139, 15154, 15181, 15212, 15244, 15265, 15316, 15370, 15574, 15677, 15688, 15733, 15899, 15928, 15937, 16007, 16039, 16087, 16096, 16111, 16216, 16227, 16293, 16308, 16324, 16342, 16388, 16429, 16535, 16614, 16714, 16726, 16729, 16748, 16836, 16854, 16884, 16897, 16906, 16927, 16963, 17092, 17102, 17182, 17197, 17224, 17229, 17277, 17311, 17418, 17423, 17438, 17489, 17714, 17734, 17754, 17782, 17821, 17882, 17911, 17916, 17989, 18604, 18670, 18709, 18757, 18761, 18787, 18871, 18883, 18899, 18903, 19024, 19026, 19028, 19079, 19098, 19102, 19132, 19142, 19163, 19189, 19282, 19357, 19363, 19549, 19556, 19558, 19594, 19609, 19672, 19678, 19821, 19876, 19946, 19982, 20008, 20088, 20094, 20139, 20212, 20267, 20308, 20318, 20359, 20395, 20417, 20616, 20649, 20793, 20821, 20881, 20883, 20983, 21013, 21016, 21049, 21092, 21148, 21151, 21235, 21307, 21316, 21368, 21403, 21404, 21413, 21464, 21526, 21537, 21572, 21676, 21684, 21729, 21757, 21784, 21796, 21803, 21804, 21837, 21859, 21866, 21898, 22096, 22146, 22180, 22216, 22308, 22312, 22324, 22383, 22406, 22429, 22447, 22456, 22459, 22471, 22528, 22566, 22643, 22688, 22704, 22723, 22738, 22744, 22771, 22789, 22842, 22846, 22874, 22887, 23056, 23191, 23215, 23268, 23315, 23344, 23377, 23427, 23518, 23531, 23533, 23584, 23692, 23759, 23773, 23829, 23924, 23991, 24042, 24175, 24244, 24331, 24403, 24412, 24448, 24503, 24553, 24557, 24591, 24646, 24671, 24763, 24911}

sweety439 2018-05-31 15:14

[QUOTE=sweety439;488632]S70 has 132 k's remain:

{70, 89, 178, 212, 283, 285, 434, 545, 581, 629, 881, 1300, 1373, 1436, 1490, 1559, 1565, 1694, 1871, 1916, 1946, 1955, 2129, 2176, 2351, 2354, 2379, 2419, 2705, 2756, 3154, 3317, 3329, 3336, 3362, 3407, 3452, 3530, 3647, 3762, 3764, 3929, 3944, 4025, 4061, 4119, 4166, 4188, 4193, 4250, 4331, 4351, 4454, 4900, 4913, 5145, 5169, 5204, 5231, 5348, 5429, 5540, 5594, 5608, 5609, 5798, 5857, 5894, 5953, 5975, 6133, 6167, 6218, 6230, 6410, 6518, 6530, 6582, 6743, 7145, 7325, 7365, 7552, 7578, 7691, 7736, 7811, 7907, 7974, 7994, 8003, 8015, 8045, 8153, 8159, 8201, 8234, 8306, 8348, 8351, 8377, 8406, 8423, 8465, 8477, 8637, 8907, 8945, 9231, 9268, 9323, 9428, 9471, 9515, 9586, 9693, 9712, 9751, 9758, 10009, 10051, 10089, 10193, 10271, 10291, 10399, 10438, 10544, 10574, 10718, 10997, 11003}[/QUOTE]

These k's are from the same family:

{70, 4900}
{89, 6230}

Thus S70 has only 130 k's remain:

{70, 89, 178, 212, 283, 285, 434, 545, 581, 629, 881, 1300, 1373, 1436, 1490, 1559, 1565, 1694, 1871, 1916, 1946, 1955, 2129, 2176, 2351, 2354, 2379, 2419, 2705, 2756, 3154, 3317, 3329, 3336, 3362, 3407, 3452, 3530, 3647, 3762, 3764, 3929, 3944, 4025, 4061, 4119, 4166, 4188, 4193, 4250, 4331, 4351, 4454, 4913, 5145, 5169, 5204, 5231, 5348, 5429, 5540, 5594, 5608, 5609, 5798, 5857, 5894, 5953, 5975, 6133, 6167, 6218, 6410, 6518, 6530, 6582, 6743, 7145, 7325, 7365, 7552, 7578, 7691, 7736, 7811, 7907, 7974, 7994, 8003, 8015, 8045, 8153, 8159, 8201, 8234, 8306, 8348, 8351, 8377, 8406, 8423, 8465, 8477, 8637, 8907, 8945, 9231, 9268, 9323, 9428, 9471, 9515, 9586, 9693, 9712, 9751, 9758, 10009, 10051, 10089, 10193, 10271, 10291, 10399, 10438, 10544, 10574, 10718, 10997, 11003}

sweety439 2018-05-31 15:16

[QUOTE=sweety439;488634]S127 has 556 k's remain:

{1, 37, 67, 103, 121, 127, 134, 138, 139, 141, 153, 172, 177, 189, 201, 205, 215, 223, 237, 247, 263, 267, 301, 311, 343, 367, 381, 383, 387, 398, 409, 413, 425, 447, 452, 465, 469, 474, 487, 495, 525, 527, 529, 543, 569, 582, 601, 629, 645, 647, 649, 657, 659, 673, 681, 691, 701, 707, 727, 733, 763, 781, 790, 797, 807, 809, 818, 819, 837, 847, 849, 887, 895, 901, 903, 907, 909, 925, 927, 941, 954, 1011, 1021, 1023, 1043, 1075, 1079, 1103, 1109, 1121, 1123, 1147, 1161, 1165, 1167, 1169, 1173, 1193, 1199, 1201, 1229, 1232, 1237, 1239, 1243, 1244, 1261, 1303, 1309, 1322, 1329, 1343, 1351, 1357, 1362, 1379, 1381, 1383, 1403, 1417, 1423, 1425, 1427, 1431, 1439, 1441, 1461, 1463, 1466, 1472, 1483, 1487, 1494, 1515, 1543, 1544, 1547, 1549, 1553, 1557, 1565, 1574, 1581, 1583, 1603, 1607, 1615, 1621, 1641, 1649, 1686, 1691, 1719, 1723, 1741, 1742, 1747, 1753, 1754, 1765, 1783, 1785, 1793, 1801, 1808, 1815, 1827, 1841, 1849, 1861, 1875, 1887, 1917, 1921, 1954, 1961, 1981, 1987, 1997, 2001, 2022, 2027, 2041, 2055, 2083, 2089, 2109, 2123, 2147, 2152, 2156, 2167, 2177, 2181, 2189, 2211, 2229, 2235, 2241, 2261, 2263, 2265, 2285, 2287, 2330, 2335, 2336, 2341, 2375, 2401, 2403, 2409, 2429, 2441, 2461, 2521, 2523, 2531, 2537, 2551, 2603, 2607, 2625, 2627, 2636, 2649, 2657, 2661, 2687, 2701, 2721, 2729, 2741, 2744, 2749, 2778, 2801, 2803, 2809, 2847, 2861, 2863, 2867, 2869, 2887, 2894, 2907, 2908, 2909, 2915, 2921, 2929, 2949, 2961, 2963, 2977, 2981, 2987, 2988, 2993, 3001, 3005, 3041, 3045, 3061, 3069, 3089, 3093, 3095, 3099, 3107, 3121, 3129, 3133, 3141, 3143, 3169, 3181, 3199, 3209, 3221, 3241, 3243, 3276, 3283, 3297, 3303, 3309, 3313, 3325, 3327, 3329, 3345, 3363, 3377, 3381, 3392, 3401, 3407, 3419, 3421, 3449, 3455, 3461, 3489, 3501, 3521, 3526, 3527, 3533, 3543, 3545, 3549, 3563, 3603, 3641, 3646, 3647, 3703, 3741, 3743, 3747, 3763, 3779, 3790, 3807, 3811, 3812, 3815, 3821, 3823, 3829, 3896, 3923, 3929, 3947, 3981, 3986, 3987, 3995, 3996, 4001, 4007, 4021, 4029, 4031, 4039, 4045, 4063, 4073, 4079, 4081, 4087, 4112, 4125, 4135, 4157, 4164, 4167, 4181, 4185, 4193, 4201, 4207, 4229, 4241, 4247, 4261, 4281, 4289, 4309, 4323, 4327, 4329, 4339, 4364, 4373, 4381, 4382, 4385, 4416, 4421, 4437, 4447, 4455, 4469, 4481, 4503, 4517, 4521, 4527, 4531, 4547, 4573, 4587, 4609, 4614, 4617, 4643, 4645, 4667, 4677, 4684, 4699, 4701, 4705, 4742, 4761, 4781, 4809, 4819, 4823, 4829, 4849, 4867, 4887, 4891, 4896, 4909, 4957, 4968, 4969, 4975, 4987, 4995, 5005, 5009, 5016, 5023, 5025, 5041, 5057, 5061, 5067, 5069, 5091, 5101, 5119, 5123, 5149, 5165, 5172, 5187, 5189, 5201, 5205, 5226, 5238, 5247, 5249, 5267, 5273, 5283, 5321, 5327, 5331, 5343, 5347, 5363, 5368, 5379, 5381, 5387, 5391, 5399, 5415, 5429, 5435, 5441, 5443, 5457, 5461, 5469, 5477, 5485, 5487, 5488, 5503, 5507, 5529, 5531, 5534, 5543, 5547, 5549, 5563, 5577, 5583, 5589, 5606, 5609, 5615, 5618, 5619, 5622, 5623, 5627, 5638, 5665, 5668, 5674, 5678, 5687, 5697, 5701, 5707, 5713, 5721, 5723, 5735, 5747, 5761, 5767, 5799, 5807, 5813, 5823, 5837, 5841, 5859, 5861, 5863, 5867, 5887, 5888, 5903, 5923, 5929, 5941, 5955, 5957, 5966, 5981, 5996, 6015, 6021, 6041, 6047, 6048, 6057, 6081, 6085, 6087, 6111, 6114, 6121, 6149, 6209, 6221, 6231, 6237, 6245, 6261, 6269, 6275, 6277}[/QUOTE]

These k's are from the same family:

{1, 127}
{37, 4699}

Thus S127 has only 554 k's remain:

{1, 37, 67, 103, 121, 134, 138, 139, 141, 153, 172, 177, 189, 201, 205, 215, 223, 237, 247, 263, 267, 301, 311, 343, 367, 381, 383, 387, 398, 409, 413, 425, 447, 452, 465, 469, 474, 487, 495, 525, 527, 529, 543, 569, 582, 601, 629, 645, 647, 649, 657, 659, 673, 681, 691, 701, 707, 727, 733, 763, 781, 790, 797, 807, 809, 818, 819, 837, 847, 849, 887, 895, 901, 903, 907, 909, 925, 927, 941, 954, 1011, 1021, 1023, 1043, 1075, 1079, 1103, 1109, 1121, 1123, 1147, 1161, 1165, 1167, 1169, 1173, 1193, 1199, 1201, 1229, 1232, 1237, 1239, 1243, 1244, 1261, 1303, 1309, 1322, 1329, 1343, 1351, 1357, 1362, 1379, 1381, 1383, 1403, 1417, 1423, 1425, 1427, 1431, 1439, 1441, 1461, 1463, 1466, 1472, 1483, 1487, 1494, 1515, 1543, 1544, 1547, 1549, 1553, 1557, 1565, 1574, 1581, 1583, 1603, 1607, 1615, 1621, 1641, 1649, 1686, 1691, 1719, 1723, 1741, 1742, 1747, 1753, 1754, 1765, 1783, 1785, 1793, 1801, 1808, 1815, 1827, 1841, 1849, 1861, 1875, 1887, 1917, 1921, 1954, 1961, 1981, 1987, 1997, 2001, 2022, 2027, 2041, 2055, 2083, 2089, 2109, 2123, 2147, 2152, 2156, 2167, 2177, 2181, 2189, 2211, 2229, 2235, 2241, 2261, 2263, 2265, 2285, 2287, 2330, 2335, 2336, 2341, 2375, 2401, 2403, 2409, 2429, 2441, 2461, 2521, 2523, 2531, 2537, 2551, 2603, 2607, 2625, 2627, 2636, 2649, 2657, 2661, 2687, 2701, 2721, 2729, 2741, 2744, 2749, 2778, 2801, 2803, 2809, 2847, 2861, 2863, 2867, 2869, 2887, 2894, 2907, 2908, 2909, 2915, 2921, 2929, 2949, 2961, 2963, 2977, 2981, 2987, 2988, 2993, 3001, 3005, 3041, 3045, 3061, 3069, 3089, 3093, 3095, 3099, 3107, 3121, 3129, 3133, 3141, 3143, 3169, 3181, 3199, 3209, 3221, 3241, 3243, 3276, 3283, 3297, 3303, 3309, 3313, 3325, 3327, 3329, 3345, 3363, 3377, 3381, 3392, 3401, 3407, 3419, 3421, 3449, 3455, 3461, 3489, 3501, 3521, 3526, 3527, 3533, 3543, 3545, 3549, 3563, 3603, 3641, 3646, 3647, 3703, 3741, 3743, 3747, 3763, 3779, 3790, 3807, 3811, 3812, 3815, 3821, 3823, 3829, 3896, 3923, 3929, 3947, 3981, 3986, 3987, 3995, 3996, 4001, 4007, 4021, 4029, 4031, 4039, 4045, 4063, 4073, 4079, 4081, 4087, 4112, 4125, 4135, 4157, 4164, 4167, 4181, 4185, 4193, 4201, 4207, 4229, 4241, 4247, 4261, 4281, 4289, 4309, 4323, 4327, 4329, 4339, 4364, 4373, 4381, 4382, 4385, 4416, 4421, 4437, 4447, 4455, 4469, 4481, 4503, 4517, 4521, 4527, 4531, 4547, 4573, 4587, 4609, 4614, 4617, 4643, 4645, 4667, 4677, 4684, 4701, 4705, 4742, 4761, 4781, 4809, 4819, 4823, 4829, 4849, 4867, 4887, 4891, 4896, 4909, 4957, 4968, 4969, 4975, 4987, 4995, 5005, 5009, 5016, 5023, 5025, 5041, 5057, 5061, 5067, 5069, 5091, 5101, 5119, 5123, 5149, 5165, 5172, 5187, 5189, 5201, 5205, 5226, 5238, 5247, 5249, 5267, 5273, 5283, 5321, 5327, 5331, 5343, 5347, 5363, 5368, 5379, 5381, 5387, 5391, 5399, 5415, 5429, 5435, 5441, 5443, 5457, 5461, 5469, 5477, 5485, 5487, 5488, 5503, 5507, 5529, 5531, 5534, 5543, 5547, 5549, 5563, 5577, 5583, 5589, 5606, 5609, 5615, 5618, 5619, 5622, 5623, 5627, 5638, 5665, 5668, 5674, 5678, 5687, 5697, 5701, 5707, 5713, 5721, 5723, 5735, 5747, 5761, 5767, 5799, 5807, 5813, 5823, 5837, 5841, 5859, 5861, 5863, 5867, 5887, 5888, 5903, 5923, 5929, 5941, 5955, 5957, 5966, 5981, 5996, 6015, 6021, 6041, 6047, 6048, 6057, 6081, 6085, 6087, 6111, 6114, 6121, 6149, 6209, 6221, 6231, 6237, 6245, 6261, 6269, 6275, 6277}

sweety439 2018-05-31 15:17

[QUOTE=sweety439;488635]R106 has 240 k's remain:

{64, 81, 163, 332, 391, 400, 429, 511, 526, 582, 596, 643, 676, 841, 862, 897, 913, 1024, 1223, 1261, 1283, 1294, 1417, 1428, 1546, 1597, 1713, 1869, 2056, 2116, 2248, 2389, 2458, 2605, 2623, 2656, 2674, 2719, 2743, 2780, 2781, 2813, 2888, 2965, 3047, 3073, 3130, 3136, 3142, 3241, 3277, 3336, 3425, 3427, 3478, 3481, 3617, 3622, 3646, 3655, 3694, 3746, 3883, 4045, 4067, 4096, 4153, 4162, 4177, 4219, 4336, 4339, 4416, 4628, 4662, 4666, 4696, 4713, 4722, 4801, 5135, 5283, 5359, 5395, 5468, 5485, 5623, 5692, 5707, 5752, 5776, 5777, 5872, 5878, 5937, 5971, 5992, 5993, 6040, 6094, 6100, 6103, 6181, 6220, 6376, 6421, 6505, 6547, 6613, 6716, 6736, 6784, 6832, 6955, 7069, 7156, 7202, 7246, 7273, 7297, 7331, 7336, 7345, 7356, 7398, 7402, 7496, 7540, 7561, 7744, 7771, 7894, 7906, 7915, 8023, 8181, 8266, 8323, 8329, 8371, 8386, 8428, 8521, 8561, 8572, 8586, 8637, 8779, 8788, 8861, 8950, 8956, 8962, 8975, 9031, 9096, 9190, 9238, 9294, 9366, 9415, 9469, 9589, 9634, 9736, 9774, 9787, 9790, 9796, 9808, 9859, 9877, 9973, 9976, 10033, 10072, 10117, 10150, 10166, 10186, 10271, 10273, 10446, 10451, 10627, 10646, 10651, 10660, 10699, 10816, 10876, 10894, 11097, 11173, 11278, 11299, 11419, 11420, 11426, 11506, 11639, 11671, 11833, 11884, 11901, 12066, 12076, 12090, 12145, 12252, 12269, 12321, 12352, 12361, 12490, 12627, 12851, 12856, 12910, 12916, 12970, 12978, 12991, 13023, 13027, 13162, 13174, 13269, 13366, 13374, 13378, 13387, 13497, 13511, 13516, 13528, 13543, 13553, 13558, 13567}[/QUOTE]

These k's are from the same family:

{64, 6784}
{81, 8586}

Thus R106 has only 238 k's remain:

{64, 81, 163, 332, 391, 400, 429, 511, 526, 582, 596, 643, 676, 841, 862, 897, 913, 1024, 1223, 1261, 1283, 1294, 1417, 1428, 1546, 1597, 1713, 1869, 2056, 2116, 2248, 2389, 2458, 2605, 2623, 2656, 2674, 2719, 2743, 2780, 2781, 2813, 2888, 2965, 3047, 3073, 3130, 3136, 3142, 3241, 3277, 3336, 3425, 3427, 3478, 3481, 3617, 3622, 3646, 3655, 3694, 3746, 3883, 4045, 4067, 4096, 4153, 4162, 4177, 4219, 4336, 4339, 4416, 4628, 4662, 4666, 4696, 4713, 4722, 4801, 5135, 5283, 5359, 5395, 5468, 5485, 5623, 5692, 5707, 5752, 5776, 5777, 5872, 5878, 5937, 5971, 5992, 5993, 6040, 6094, 6100, 6103, 6181, 6220, 6376, 6421, 6505, 6547, 6613, 6716, 6736, 6832, 6955, 7069, 7156, 7202, 7246, 7273, 7297, 7331, 7336, 7345, 7356, 7398, 7402, 7496, 7540, 7561, 7744, 7771, 7894, 7906, 7915, 8023, 8181, 8266, 8323, 8329, 8371, 8386, 8428, 8521, 8561, 8572, 8637, 8779, 8788, 8861, 8950, 8956, 8962, 8975, 9031, 9096, 9190, 9238, 9294, 9366, 9415, 9469, 9589, 9634, 9736, 9774, 9787, 9790, 9796, 9808, 9859, 9877, 9973, 9976, 10033, 10072, 10117, 10150, 10166, 10186, 10271, 10273, 10446, 10451, 10627, 10646, 10651, 10660, 10699, 10816, 10876, 10894, 11097, 11173, 11278, 11299, 11419, 11420, 11426, 11506, 11639, 11671, 11833, 11884, 11901, 12066, 12076, 12090, 12145, 12252, 12269, 12321, 12352, 12361, 12490, 12627, 12851, 12856, 12910, 12916, 12970, 12978, 12991, 13023, 13027, 13162, 13174, 13269, 13366, 13374, 13378, 13387, 13497, 13511, 13516, 13528, 13543, 13553, 13558, 13567}

sweety439 2018-06-12 12:27

[QUOTE=sweety439;488636]S82 has 171 k's remain for k not in CRUS:

{74, 122, 167, 470, 839, 848, 1121, 1226, 1319, 1376, 1427, 1433, 1493, 1514, 1559, 1733, 2024, 2066, 2159, 2339, 2708, 2939, 3041, 3236, 3239, 3332, 3377, 3572, 3593, 3641, 3656, 3746, 3896, 3962, 4133, 4142, 4151, 4232, 4379, 4454, 4898, 5279, 5396, 5477, 5483, 5516, 5612, 5747, 5867, 5975, 6059, 6068, 6497, 6641, 6761, 6764, 6953, 7127, 7160, 7541, 7718, 7856, 7982, 8135, 8384, 8609, 8657, 8909, 9038, 9335, 9380, 9419, 9437, 9461, 9476, 9638, 9776, 9788, 9812, 9836, 9842, 9851, 9911, 9941, 10004, 10049, 10127, 10154, 10304, 10448, 10553, 10577, 10586, 10802, 10958, 11087, 11177, 11408, 11612, 11621, 11666, 11702, 11783, 11834, 11957, 11963, 11984, 12008, 12119, 12347, 12491, 12548, 12554, 12638, 12737, 12866, 12938, 12947, 13121, 13268, 13283, 13343, 13607, 13613, 13694, 14192, 14609, 14621, 14639, 14681, 14873, 14984, 15032, 15122, 15146, 15203, 15296, 15356, 15551, 15854, 15869, 15953, 16088, 16133, 16433, 16442, 16502, 16601, 16682, 16733, 16811, 16847, 17078, 17174, 17177, 17369, 17393, 17798, 17813, 17846, 17921, 18332, 18548, 18566, 18626, 18944, 18965, 18971, 19061, 19181, 19421}[/QUOTE]

These k's are from the same family:

{74,6068}
{122,10004}
{167,13694}

Thus S82 has only 168 k's remain for k not in CRUS:

{74, 122, 167, 470, 839, 848, 1121, 1226, 1319, 1376, 1427, 1433, 1493, 1514, 1559, 1733, 2024, 2066, 2159, 2339, 2708, 2939, 3041, 3236, 3239, 3332, 3377, 3572, 3593, 3641, 3656, 3746, 3896, 3962, 4133, 4142, 4151, 4232, 4379, 4454, 4898, 5279, 5396, 5477, 5483, 5516, 5612, 5747, 5867, 5975, 6059, 6497, 6641, 6761, 6764, 6953, 7127, 7160, 7541, 7718, 7856, 7982, 8135, 8384, 8609, 8657, 8909, 9038, 9335, 9380, 9419, 9437, 9461, 9476, 9638, 9776, 9788, 9812, 9836, 9842, 9851, 9911, 9941, 10049, 10127, 10154, 10304, 10448, 10553, 10577, 10586, 10802, 10958, 11087, 11177, 11408, 11612, 11621, 11666, 11702, 11783, 11834, 11957, 11963, 11984, 12008, 12119, 12347, 12491, 12548, 12554, 12638, 12737, 12866, 12938, 12947, 13121, 13268, 13283, 13343, 13607, 13613, 14192, 14609, 14621, 14639, 14681, 14873, 14984, 15032, 15122, 15146, 15203, 15296, 15356, 15551, 15854, 15869, 15953, 16088, 16133, 16433, 16442, 16502, 16601, 16682, 16733, 16811, 16847, 17078, 17174, 17177, 17369, 17393, 17798, 17813, 17846, 17921, 18332, 18548, 18566, 18626, 18944, 18965, 18971, 19061, 19181, 19421}

sweety439 2018-06-12 12:30

[QUOTE=sweety439;488638]R82 has 214 k's remain for k not in CRUS:

{118, 133, 331, 334, 439, 625, 649, 667, 748, 757, 763, 829, 883, 898, 997, 1252, 1279, 1327, 1348, 1351, 1531, 1741, 1936, 2050, 2263, 2278, 2419, 2431, 2539, 2635, 2668, 2797, 2836, 2896, 2929, 2971, 2974, 3079, 3121, 3319, 3436, 3796, 3817, 4078, 4372, 4399, 4447, 4483, 4780, 4801, 4867, 4972, 5053, 5182, 5230, 5311, 5329, 5401, 5560, 5713, 5893, 5899, 6028, 6124, 6178, 6226, 6343, 6418, 6427, 6571, 6631, 6925, 6994, 7054, 7303, 7396, 7474, 7615, 7723, 7801, 7813, 7822, 7969, 8065, 8314, 8368, 8629, 8761, 8830, 8878, 8941, 9124, 9166, 9304, 9409, 9676, 9712, 9739, 9967, 9988, 10000, 10036, 10075, 10147, 10162, 10891, 10906, 10957, 11056, 11086, 11119, 11485, 11533, 11665, 11728, 11827, 11884, 11929, 12079, 12169, 12202, 12211, 12283, 12547, 12562, 13126, 13141, 13531, 13768, 13792, 13891, 14095, 14161, 14188, 14242, 14257, 14275, 14524, 14563, 14614, 14941, 14986, 15046, 15136, 15271, 15343, 15349, 15403, 15493, 15508, 15634, 15679, 15682, 15997, 16024, 16312, 16534, 16633, 16753, 16756, 16954, 17011, 17401, 17512, 17518, 17761, 17803, 17833, 17878, 18058, 18061, 18448, 18514, 18538, 18550, 18757, 19093, 19237, 19309, 19372, 19414, 19444, 19519, 19672, 19678, 19930, 20002, 20050, 20113, 20218, 20251, 20413, 20491, 20578, 20581, 20773, 20980, 21052, 21088, 21334, 21382, 21433, 21454, 21466, 21514, 21541, 21631, 21862, 21871, 21913, 22012, 22132, 22162, 22243}[/QUOTE]

These k's are from the same family:

{118,9676}
{133,10906}

Thus R82 has only 212 k's remain for k not in CRUS:

{118, 133, 331, 334, 439, 625, 649, 667, 748, 757, 763, 829, 883, 898, 997, 1252, 1279, 1327, 1348, 1351, 1531, 1741, 1936, 2050, 2263, 2278, 2419, 2431, 2539, 2635, 2668, 2797, 2836, 2896, 2929, 2971, 2974, 3079, 3121, 3319, 3436, 3796, 3817, 4078, 4372, 4399, 4447, 4483, 4780, 4801, 4867, 4972, 5053, 5182, 5230, 5311, 5329, 5401, 5560, 5713, 5893, 5899, 6028, 6124, 6178, 6226, 6343, 6418, 6427, 6571, 6631, 6925, 6994, 7054, 7303, 7396, 7474, 7615, 7723, 7801, 7813, 7822, 7969, 8065, 8314, 8368, 8629, 8761, 8830, 8878, 8941, 9124, 9166, 9304, 9409, 9712, 9739, 9967, 9988, 10000, 10036, 10075, 10147, 10162, 10891, 10957, 11056, 11086, 11119, 11485, 11533, 11665, 11728, 11827, 11884, 11929, 12079, 12169, 12202, 12211, 12283, 12547, 12562, 13126, 13141, 13531, 13768, 13792, 13891, 14095, 14161, 14188, 14242, 14257, 14275, 14524, 14563, 14614, 14941, 14986, 15046, 15136, 15271, 15343, 15349, 15403, 15493, 15508, 15634, 15679, 15682, 15997, 16024, 16312, 16534, 16633, 16753, 16756, 16954, 17011, 17401, 17512, 17518, 17761, 17803, 17833, 17878, 18058, 18061, 18448, 18514, 18538, 18550, 18757, 19093, 19237, 19309, 19372, 19414, 19444, 19519, 19672, 19678, 19930, 20002, 20050, 20113, 20218, 20251, 20413, 20491, 20578, 20581, 20773, 20980, 21052, 21088, 21334, 21382, 21433, 21454, 21466, 21514, 21541, 21631, 21862, 21871, 21913, 22012, 22132, 22162, 22243}

sweety439 2018-06-12 12:31

[QUOTE=sweety439;488639]S78 has 208 k's remain for k not in CRUS:

{1143, 3317, 3513, 4346, 5136, 5686, 5862, 6103, 6859, 7188, 7594, 9558, 9652, 9694, 9701, 9953, 10723, 11003, 11219, 13353, 13768, 14566, 14832, 15126, 15777, 16071, 17588, 18248, 18776, 19501, 19931, 20206, 20754, 21284, 21489, 21972, 23337, 23341, 23953, 24254, 24672, 24877, 24912, 25171, 25199, 26069, 26212, 26515, 26592, 27059, 27124, 27537, 27663, 28202, 28423, 29303, 29322, 29497, 29784, 30967, 31030, 32073, 32633, 33193, 33318, 33732, 34208, 34528, 34712, 35244, 35433, 35628, 36014, 36497, 37456, 37773, 37795, 38009, 38401, 39724, 40361, 40844, 41271, 41634, 42671, 43493, 43609, 43693, 43770, 44428, 44631, 45268, 45345, 45352, 45779, 46213, 46374, 46927, 47053, 48012, 48113, 48173, 48187, 48824, 49139, 49482, 50441, 51148, 51428, 51501, 51981, 52238, 52541, 52744, 53503, 53703, 54263, 54273, 54438, 54669, 54942, 55026, 57276, 57694, 58409, 58582, 59373, 59611, 60906, 61417, 61648, 62033, 62567, 62663, 62964, 64712, 65253, 67591, 67941, 68011, 68053, 68697, 69173, 70982, 71168, 71203, 71609, 71730, 71952, 72225, 74051, 74249, 74367, 74733, 75019, 75492, 76394, 77209, 77573, 77972, 78826, 79001, 79127, 79749, 80046, 80343, 80737, 80739, 81731, 81864, 83502, 83978, 84013, 84818, 85133, 85714, 86267, 86281, 86371, 86503, 86687, 87016, 87156, 87328, 87559, 87614, 87691, 87821, 88479, 88619, 89039, 89154, 89214, 89352, 89429, 89836, 90481, 91125, 91496, 92826, 93587, 93624, 93722, 93774, 93873, 93981, 94114, 94758}[/QUOTE]

These k's are from the same family:

{1143,89154}

Thus S78 has only 207 k's remain for k not in CRUS:

{1143, 3317, 3513, 4346, 5136, 5686, 5862, 6103, 6859, 7188, 7594, 9558, 9652, 9694, 9701, 9953, 10723, 11003, 11219, 13353, 13768, 14566, 14832, 15126, 15777, 16071, 17588, 18248, 18776, 19501, 19931, 20206, 20754, 21284, 21489, 21972, 23337, 23341, 23953, 24254, 24672, 24877, 24912, 25171, 25199, 26069, 26212, 26515, 26592, 27059, 27124, 27537, 27663, 28202, 28423, 29303, 29322, 29497, 29784, 30967, 31030, 32073, 32633, 33193, 33318, 33732, 34208, 34528, 34712, 35244, 35433, 35628, 36014, 36497, 37456, 37773, 37795, 38009, 38401, 39724, 40361, 40844, 41271, 41634, 42671, 43493, 43609, 43693, 43770, 44428, 44631, 45268, 45345, 45352, 45779, 46213, 46374, 46927, 47053, 48012, 48113, 48173, 48187, 48824, 49139, 49482, 50441, 51148, 51428, 51501, 51981, 52238, 52541, 52744, 53503, 53703, 54263, 54273, 54438, 54669, 54942, 55026, 57276, 57694, 58409, 58582, 59373, 59611, 60906, 61417, 61648, 62033, 62567, 62663, 62964, 64712, 65253, 67591, 67941, 68011, 68053, 68697, 69173, 70982, 71168, 71203, 71609, 71730, 71952, 72225, 74051, 74249, 74367, 74733, 75019, 75492, 76394, 77209, 77573, 77972, 78826, 79001, 79127, 79749, 80046, 80343, 80737, 80739, 81731, 81864, 83502, 83978, 84013, 84818, 85133, 85714, 86267, 86281, 86371, 86503, 86687, 87016, 87156, 87328, 87559, 87614, 87691, 87821, 88479, 88619, 89039, 89214, 89352, 89429, 89836, 90481, 91125, 91496, 92826, 93587, 93624, 93722, 93774, 93873, 93981, 94114, 94758}

sweety439 2018-06-12 12:34

[QUOTE=sweety439;488640]R78 has 204 k's remain for k not in CRUS:

{274, 302, 631, 1816, 2381, 3872, 3949, 4383, 4489, 6077, 6436, 7800, 8499, 8758, 10263, 10924, 10928, 10942, 11936, 12167, 12244, 12286, 12332, 12622, 13212, 13287, 14059, 14456, 14526, 14932, 16451, 16688, 17029, 17039, 17221, 17271, 17732, 17886, 18663, 19614, 19846, 19909, 19986, 20182, 20462, 20879, 21197, 21372, 21631, 23052, 23079, 23556, 23801, 23899, 24214, 24949, 25061, 25532, 25901, 26377, 26804, 27021, 27175, 27399, 27842, 29668, 29863, 30444, 31046, 31053, 32705, 33298, 33412, 33671, 33888, 33892, 34728, 35179, 35568, 36233, 36609, 37024, 38354, 38438, 38711, 38886, 39173, 39901, 40239, 40437, 40998, 42106, 42337, 43331, 43842, 44038, 44374, 44871, 45214, 45221, 45466, 46012, 46187, 46593, 46922, 47004, 47573, 47636, 47657, 47986, 48112, 48371, 48973, 49218, 49386, 49611, 49988, 51430, 52042, 53719, 53761, 54188, 55245, 55617, 56563, 56757, 56904, 57234, 57317, 57611, 57786, 57842, 58402, 58455, 58696, 59093, 59536, 59774, 60187, 60919, 60978, 61762, 61783, 61937, 62481, 62646, 62854, 63043, 63281, 63351, 64384, 64744, 65157, 65814, 65885, 66102, 66249, 66991, 67593, 67706, 67880, 68027, 68573, 68804, 69630, 71254, 71338, 72003, 72997, 73734, 74757, 74823, 75307, 75482, 75857, 75888, 76056, 76392, 76781, 77057, 78135, 78604, 78835, 78959, 79630, 79633, 79674, 80725, 80788, 81208, 81369, 84484, 85218, 85506, 86164, 86329, 86353, 86692, 88817, 88866, 89314, 89538, 89664, 89846}[/QUOTE]

These k's are from the same family:

{274,21372}
{302,23556}
{631,49218}

Thus R78 has only 201 k's remain for k not in CRUS:

{274, 302, 631, 1816, 2381, 3872, 3949, 4383, 4489, 6077, 6436, 7800, 8499, 8758, 10263, 10924, 10928, 10942, 11936, 12167, 12244, 12286, 12332, 12622, 13212, 13287, 14059, 14456, 14526, 14932, 16451, 16688, 17029, 17039, 17221, 17271, 17732, 17886, 18663, 19614, 19846, 19909, 19986, 20182, 20462, 20879, 21197, 21631, 23052, 23079, 23801, 23899, 24214, 24949, 25061, 25532, 25901, 26377, 26804, 27021, 27175, 27399, 27842, 29668, 29863, 30444, 31046, 31053, 32705, 33298, 33412, 33671, 33888, 33892, 34728, 35179, 35568, 36233, 36609, 37024, 38354, 38438, 38711, 38886, 39173, 39901, 40239, 40437, 40998, 42106, 42337, 43331, 43842, 44038, 44374, 44871, 45214, 45221, 45466, 46012, 46187, 46593, 46922, 47004, 47573, 47636, 47657, 47986, 48112, 48371, 48973, 49386, 49611, 49988, 51430, 52042, 53719, 53761, 54188, 55245, 55617, 56563, 56757, 56904, 57234, 57317, 57611, 57786, 57842, 58402, 58455, 58696, 59093, 59536, 59774, 60187, 60919, 60978, 61762, 61783, 61937, 62481, 62646, 62854, 63043, 63281, 63351, 64384, 64744, 65157, 65814, 65885, 66102, 66249, 66991, 67593, 67706, 67880, 68027, 68573, 68804, 69630, 71254, 71338, 72003, 72997, 73734, 74757, 74823, 75307, 75482, 75857, 75888, 76056, 76392, 76781, 77057, 78135, 78604, 78835, 78959, 79630, 79633, 79674, 80725, 80788, 81208, 81369, 84484, 85218, 85506, 86164, 86329, 86353, 86692, 88817, 88866, 89314, 89538, 89664, 89846}

sweety439 2018-06-12 12:36

[QUOTE=sweety439;488641]S96 has 319 k's remain for k not in CRUS:

{194, 939, 969, 994, 1169, 1177, 1514, 1844, 2146, 2424, 2545, 2868, 3364, 3624, 3699, 3784, 4019, 4164, 4239, 4549, 5239, 5262, 5764, 5959, 6009, 6074, 6304, 6389, 6569, 6668, 6769, 6934, 7539, 7569, 8009, 8069, 8226, 8634, 8796, 9064, 9309, 9489, 9589, 9619, 9799, 10089, 10139, 10574, 10669, 10739, 10844, 10849, 10939, 11154, 11159, 11361, 11549, 11634, 11659, 11974, 12029, 12054, 12999, 13044, 13519, 13899, 14169, 14279, 14299, 14494, 15194, 16073, 16279, 16349, 16799, 17009, 17029, 17264, 17517, 17564, 17909, 18189, 18254, 18624, 19109, 19254, 19289, 19304, 19683, 19884, 19934, 20064, 20324, 20369, 20494, 20584, 20599, 21194, 21234, 21679, 22309, 22419, 22569, 22604, 22699, 22999, 23174, 23629, 24015, 24049, 24259, 24490, 24724, 25459, 25829, 26229, 26379, 26424, 26846, 26899, 26941, 27219, 27299, 27334, 27514, 27644, 27682, 27849, 28939, 29039, 29278, 29411, 29574, 30459, 30484, 30509, 30689, 30779, 31979, 32239, 32319, 32369, 32384, 32432, 32609, 32664, 32714, 33034, 33229, 34119, 34469, 34744, 35309, 35404, 35794, 36304, 36824, 36834, 37129, 37829, 38134, 38219, 38609, 38739, 39164, 39309, 39386, 39719, 40014, 40724, 41339, 41614, 41674, 41709, 41779, 42004, 42179, 42199, 42374, 42394, 42444, 42629, 42901, 42954, 42979, 43194, 43389, 43494, 43739, 43909, 43914, 44136, 44384, 44539, 44611, 44634, 45009, 45589, 45774, 46134, 46214, 46344, 46409, 46444, 46684, 47139, 47164, 47259, 47344, 47644, 48214, 48404, 48479, 48504, 48582, 48744, 48749, 48914, 49249, 49859, 50079, 50194, 50224, 50387, 50549, 50709, 50929, 51099, 51159, 51399, 51414, 52019, 52034, 52209, 53004, 53079, 53465, 53519, 53624, 54016, 54254, 54509, 54994, 55049, 55774, 55959, 56044, 56229, 56719, 56854, 56919, 56939, 57037, 57114, 57264, 57524, 57968, 58199, 58215, 58644, 59189, 59519, 59654, 59684, 59799, 60014, 60194, 60269, 60464, 60624, 61014, 61034, 61384, 61524, 61699, 62024, 62774, 62884, 62954, 63029, 63439, 63504, 63509, 63799, 63809, 63939, 64454, 64484, 64644, 64789, 65019, 65089, 65164, 65229, 65239, 65379, 65399, 65606, 65749, 65864, 66039, 66119, 66349, 66559, 66664, 66734, 66749, 66929, 67159, 67174, 67373, 68004, 68169, 68274, 68339, 68384, 68444, 68532, 68774}[/QUOTE]

These k's are from the same family:

{194,18624}

Thus S96 has only 318 k's remain for k not in CRUS:

{194, 939, 969, 994, 1169, 1177, 1514, 1844, 2146, 2424, 2545, 2868, 3364, 3624, 3699, 3784, 4019, 4164, 4239, 4549, 5239, 5262, 5764, 5959, 6009, 6074, 6304, 6389, 6569, 6668, 6769, 6934, 7539, 7569, 8009, 8069, 8226, 8634, 8796, 9064, 9309, 9489, 9589, 9619, 9799, 10089, 10139, 10574, 10669, 10739, 10844, 10849, 10939, 11154, 11159, 11361, 11549, 11634, 11659, 11974, 12029, 12054, 12999, 13044, 13519, 13899, 14169, 14279, 14299, 14494, 15194, 16073, 16279, 16349, 16799, 17009, 17029, 17264, 17517, 17564, 17909, 18189, 18254, 19109, 19254, 19289, 19304, 19683, 19884, 19934, 20064, 20324, 20369, 20494, 20584, 20599, 21194, 21234, 21679, 22309, 22419, 22569, 22604, 22699, 22999, 23174, 23629, 24015, 24049, 24259, 24490, 24724, 25459, 25829, 26229, 26379, 26424, 26846, 26899, 26941, 27219, 27299, 27334, 27514, 27644, 27682, 27849, 28939, 29039, 29278, 29411, 29574, 30459, 30484, 30509, 30689, 30779, 31979, 32239, 32319, 32369, 32384, 32432, 32609, 32664, 32714, 33034, 33229, 34119, 34469, 34744, 35309, 35404, 35794, 36304, 36824, 36834, 37129, 37829, 38134, 38219, 38609, 38739, 39164, 39309, 39386, 39719, 40014, 40724, 41339, 41614, 41674, 41709, 41779, 42004, 42179, 42199, 42374, 42394, 42444, 42629, 42901, 42954, 42979, 43194, 43389, 43494, 43739, 43909, 43914, 44136, 44384, 44539, 44611, 44634, 45009, 45589, 45774, 46134, 46214, 46344, 46409, 46444, 46684, 47139, 47164, 47259, 47344, 47644, 48214, 48404, 48479, 48504, 48582, 48744, 48749, 48914, 49249, 49859, 50079, 50194, 50224, 50387, 50549, 50709, 50929, 51099, 51159, 51399, 51414, 52019, 52034, 52209, 53004, 53079, 53465, 53519, 53624, 54016, 54254, 54509, 54994, 55049, 55774, 55959, 56044, 56229, 56719, 56854, 56919, 56939, 57037, 57114, 57264, 57524, 57968, 58199, 58215, 58644, 59189, 59519, 59654, 59684, 59799, 60014, 60194, 60269, 60464, 60624, 61014, 61034, 61384, 61524, 61699, 62024, 62774, 62884, 62954, 63029, 63439, 63504, 63509, 63799, 63809, 63939, 64454, 64484, 64644, 64789, 65019, 65089, 65164, 65229, 65239, 65379, 65399, 65606, 65749, 65864, 66039, 66119, 66349, 66559, 66664, 66734, 66749, 66929, 67159, 67174, 67373, 68004, 68169, 68274, 68339, 68384, 68444, 68532, 68774}

sweety439 2018-06-12 12:36

[QUOTE=sweety439;488642]R96 has 180 k's remain for k not in CRUS:

{431, 486, 591, 701, 831, 956, 1006, 1126, 1681, 2036, 2386, 3001, 3431, 3461, 3671, 3856, 3881, 3956, 3996, 4261, 4351, 4366, 4406, 4451, 4461, 5046, 5625, 5836, 6031, 6261, 6481, 6586, 6670, 6786, 7091, 7116, 7121, 7131, 7461, 7801, 8016, 8291, 8546, 8816, 9131, 9156, 9216, 9326, 9441, 9463, 9476, 9681, 9921, 10036, 10204, 10375, 10551, 10651, 10721, 11056, 11156, 11196, 11458, 11553, 11766, 11831, 12676, 12901, 13216, 13231, 13571, 14011, 14061, 14161, 14276, 14517, 14551, 14646, 15341, 15461, 15596, 16176, 16306, 16586, 16641, 16645, 17116, 17421, 17636, 18311, 19136, 19191, 19246, 19486, 19681, 20091, 20396, 20464, 20502, 20936, 21776, 22541, 22811, 22846, 22931, 23010, 23161, 23271, 23301, 23766, 24076, 24216, 24386, 24506, 24831, 24916, 24929, 25306, 25706, 25966, 26161, 26183, 26571, 26772, 26801, 26846, 27106, 27126, 27646, 27741, 28558, 28776, 28921, 29196, 29561, 29584, 29681, 30086, 30151, 30421, 30581, 31021, 31136, 31936, 32881, 33099, 33141, 33391, 33406, 33501, 33621, 33701, 33711, 33951, 33986, 34116, 34236, 34436, 34531, 34921, 35016, 35113, 35271, 35406, 35446, 35781, 35966, 36158, 36551, 36981, 37031, 37036, 37166, 37222, 37471, 37991, 38156, 38301, 38316, 38986}[/QUOTE]

All these k's are not from the same family.

Thus R96 has 180 k's remain for k not in CRUS.

sweety439 2018-06-12 13:24

[QUOTE=sweety439;489685]All these k's are not from the same family.

Thus R96 has 180 k's remain for k not in CRUS.[/QUOTE]

However, k = 486, 5625, 14161, and 29584 are proven composite by partial algebraic factors.

Thus, there are 176 k's remain for k not in CRUS:

{431, 486, 591, 701, 831, 956, 1006, 1126, 1681, 2036, 2386, 3001, 3431, 3461, 3671, 3856, 3881, 3956, 3996, 4261, 4351, 4366, 4406, 4451, 4461, 5046, 5625, 5836, 6031, 6261, 6481, 6586, 6670, 6786, 7091, 7116, 7121, 7131, 7461, 7801, 8016, 8291, 8546, 8816, 9131, 9156, 9216, 9326, 9441, 9463, 9476, 9681, 9921, 10036, 10204, 10375, 10551, 10651, 10721, 11056, 11156, 11196, 11458, 11553, 11766, 11831, 12676, 12901, 13216, 13231, 13571, 14011, 14061, 14161, 14276, 14517, 14551, 14646, 15341, 15461, 15596, 16176, 16306, 16586, 16641, 16645, 17116, 17421, 17636, 18311, 19136, 19191, 19246, 19486, 19681, 20091, 20396, 20464, 20502, 20936, 21776, 22541, 22811, 22846, 22931, 23010, 23161, 23271, 23301, 23766, 24076, 24216, 24386, 24506, 24831, 24916, 24929, 25306, 25706, 25966, 26161, 26183, 26571, 26772, 26801, 26846, 27106, 27126, 27646, 27741, 28558, 28776, 28921, 29196, 29561, 29584, 29681, 30086, 30151, 30421, 30581, 31021, 31136, 31936, 32881, 33099, 33141, 33391, 33406, 33501, 33621, 33701, 33711, 33951, 33986, 34116, 34236, 34436, 34531, 34921, 35016, 35113, 35271, 35406, 35446, 35781, 35966, 36158, 36551, 36981, 37031, 37036, 37166, 37222, 37471, 37991, 38156, 38301, 38316, 38986}


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