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Covering/Sharp Conjecture Explorer
./ayb s 32 10000000000000 
Start Time: 2017-08-23 07:24:28
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Sharp Conjecture
Smallest Modulus Plus One: 32
Largest Modulus Plus One: 10000000000000
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For p=2, n=5, niho: 0, shift: 0, coprime: 0, inv wt: 2, inv shift: 0, hard: 0, losses: 0
For p=2, n=7, niho: 0, shift: 1, coprime: 0, inv wt: 6, inv shift: 1, hard: 1, losses: 0
For p=2, n=11, niho: 0, shift: 60, coprime: 5, inv wt: 53, inv shift: 9, hard: 25, losses: 0
For p=2, n=13, niho: 0, shift: 266, coprime: 0, inv wt: 221, inv shift: 22, hard: 71, losses: 0
For p=2, n=17, niho: 0, shift: 5581, coprime: 0, inv wt: 2619, inv shift: 262, hard: 973, losses: 0
For p=2, n=19, niho: 0, shift: 23329, coprime: 0, inv wt: 9433, inv shift: 895, hard: 3468, losses: 0
For p=2, n=23, niho: 0, shift: 416462, coprime: 3881, inv wt: 123688, inv shift: 10378, hard: 44413, losses: 0
For p=2, n=25, niho: 850163, shift: 114035, coprime: 95, inv wt: 38652, inv shift: 1490, hard: 4596, losses: 0
For p=2, n=29, niho: 0, shift: 28714096, coprime: 52491, inv wt: 6423639, inv shift: 480362, hard: 2299902, losses: 0
For p=2, n=31, niho: 0, shift: 116031865, coprime: 0, inv wt: 24229084, inv shift: 1749069, hard: 8658679, losses: 0
For p=2, n=35, niho: 770562673, shift: 5467419, coprime: 18808, inv wt: 1184294, inv shift: 29876, hard: 100490, losses: 0
For p=2, n=37, niho: 0, shift: 7744020229, coprime: 8328627, inv wt: 1301239779, inv shift: 85467020, hard: 462247728, losses: 0
For p=2, n=41, niho: 0, shift: 126871691633, coprime: 2006399, inv wt: 18933705546, inv shift: 1177772956, hard: 6703871873, losses: 0
For p=2, n=43, niho: 0, shift: 509815362029, coprime: 247856841, inv wt: 72147541223, inv shift: 4376596038, hard: 25508157318, losses: 0
For p=3, n=5, niho: 0, shift: 3, coprime: 1, inv wt: 5, inv shift: 0, hard: 0, losses: 0
For p=3, n=7, niho: 0, shift: 40, coprime: 0, inv wt: 39, inv shift: 3, hard: 7, losses: 0
For p=3, n=11, niho: 0, shift: 5201, coprime: 124, inv wt: 2030, inv shift: 222, hard: 483, losses: 0
For p=3, n=13, niho: 0, shift: 52914, coprime: 0, inv wt: 16506, inv shift: 1824, hard: 4139, losses: 0
For p=3, n=17, niho: 0, shift: 4813198, coprime: 816, inv wt: 1069706, inv shift: 105831, hard: 277621, losses: 0
For p=3, n=19, niho: 0, shift: 44874468, coprime: 7485, inv wt: 8746902, inv shift: 830605, hard: 2313267, losses: 0
For p=3, n=23, niho: 0, shift: 3853131427, coprime: 17372046, inv wt: 588301349, inv shift: 51407428, hard: 159405291, losses: 0
For p=3, n=25, niho: 11336420950, shift: 405900548, coprime: 8533, inv wt: 69057726, inv shift: 1833528, hard: 4007790, losses: 0
For p=5, n=5, niho: 0, shift: 29, coprime: 3, inv wt: 18, inv shift: 1, hard: 3, losses: 0
For p=5, n=7, niho: 0, shift: 1067, coprime: 0, inv wt: 467, inv shift: 44, hard: 59, losses: 0
For p=5, n=11, niho: 0, shift: 961713, coprime: 0, inv wt: 226501, inv shift: 22727, hard: 36658, losses: 0
For p=5, n=13, niho: 0, shift: 26477815, coprime: 1, inv wt: 5072003, inv shift: 501608, hard: 889262, losses: 0
For p=5, n=17, niho: 0, shift: 18538835704, coprime: 8271201, inv wt: 2620770427, inv shift: 245144022, hard: 508735195, losses: 0
For p=7, n=5, niho: 0, shift: 74, coprime: 0, inv wt: 57, inv shift: 4, hard: 4, losses: 0
For p=7, n=7, niho: 0, shift: 5468, coprime: 111, inv wt: 2610, inv shift: 221, hard: 255, losses: 0
For p=7, n=11, niho: 0, shift: 26216949, coprime: 5904, inv wt: 5374334, inv shift: 494865, hard: 726432, losses: 0
For p=7, n=13, niho: 0, shift: 1383090520, coprime: 1, inv wt: 240156951, inv shift: 22132659, hard: 35757067, losses: 0
For p=11, n=5, niho: 0, shift: 398, coprime: 0, inv wt: 254, inv shift: 9, hard: 9, losses: 0
For p=11, n=7, niho: 0, shift: 94775, coprime: 845, inv wt: 30757, inv shift: 2098, hard: 2347, losses: 0
For p=11, n=11, niho: 0, shift: 1956580793, coprime: 31277, inv wt: 409459761, inv shift: 33956524, hard: 46210087, losses: 0
For p=13, n=5, niho: 0, shift: 629, coprime: 0, inv wt: 449, inv shift: 13, hard: 13, losses: 0
For p=13, n=7, niho: 0, shift: 214745, coprime: 0, inv wt: 80141, inv shift: 4952, hard: 5401, losses: 0
For p=13, n=11, niho: 0, shift: 10853290871, coprime: 115099942, inv wt: 1968376212, inv shift: 158208351, hard: 211182865, losses: 0
For p=17, n=5, niho: 0, shift: 1828, coprime: 0, inv wt: 1116, inv shift: 40, hard: 40, losses: 0
For p=17, n=7, niho: 0, shift: 1001180, coprime: 0, inv wt: 362909, inv shift: 20720, hard: 22267, losses: 0
For p=19, n=5, niho: 0, shift: 2484, coprime: 14, inv wt: 1643, inv shift: 56, hard: 57, losses: 0
For p=19, n=7, niho: 0, shift: 2057813, coprime: 1098, inv wt: 681612, inv shift: 38178, hard: 40737, losses: 0
For p=23, n=5, niho: 0, shift: 5455, coprime: 0, inv wt: 3337, inv shift: 86, hard: 86, losses: 0
For p=23, n=7, niho: 0, shift: 6163764, coprime: 78067, inv wt: 1969877, inv shift: 104680, hard: 111275, losses: 0
For p=29, n=5, niho: 0, shift: 12826, coprime: 0, inv wt: 7752, inv shift: 215, hard: 216, losses: 0
For p=29, n=7, niho: 0, shift: 24760780, coprime: 0, inv wt: 7775561, inv shift: 398000, hard: 419917, losses: 0
For p=31, n=5, niho: 0, shift: 18354, coprime: 952, inv wt: 9011, inv shift: 254, hard: 254, losses: 0
For p=31, n=7, niho: 0, shift: 34524747, coprime: 0, inv wt: 11454276, inv shift: 577705, hard: 608866, losses: 0
For p=37, n=5, niho: 0, shift: 35176, coprime: 2295, inv wt: 17052, inv shift: 453, hard: 453, losses: 0
For p=37, n=7, niho: 0, shift: 100997232, coprime: 497664, inv wt: 31643808, inv shift: 1556796, hard: 1635822, losses: 0
For p=41, n=5, niho: 0, shift: 53592, coprime: 0, inv wt: 28292, inv shift: 753, hard: 753, losses: 0
For p=41, n=7, niho: 0, shift: 182916038, coprime: 1495519, inv wt: 57138543, inv shift: 2769003, hard: 2904251, losses: 0
For p=43, n=5, niho: 0, shift: 61467, coprime: 0, inv wt: 33802, inv shift: 935, hard: 935, losses: 0
For p=43, n=7, niho: 0, shift: 250734687, coprime: 15084, inv wt: 77305416, inv shift: 3724616, hard: 3904473, losses: 0
For p=47, n=5, niho: 0, shift: 88930, coprime: 6013, inv wt: 41826, inv shift: 1070, hard: 1070, losses: 0
For p=47, n=7, niho: 0, shift: 419332361, coprime: 3325506, inv wt: 127269180, inv shift: 6058851, hard: 6343190, losses: 0
For p=53, n=5, niho: 0, shift: 139293, coprime: 7742, inv wt: 67625, inv shift: 1817, hard: 1817, losses: 0
For p=53, n=7, niho: 0, shift: 868605901, coprime: 9980164, inv wt: 254920106, inv shift: 11989992, hard: 12534470, losses: 0
For p=59, n=5, niho: 0, shift: 208412, coprime: 14747, inv wt: 99430, inv shift: 2477, hard: 2478, losses: 0
For p=59, n=7, niho: 0, shift: 1577743168, coprime: 15350922, inv wt: 482627484, inv shift: 22455545, hard: 23449246, losses: 0
For p=61, n=5, niho: 0, shift: 250068, coprime: 1041, inv wt: 127848, inv shift: 3259, hard: 3259, losses: 0
For p=61, n=7, niho: 0, shift: 1966398777, coprime: 0, inv wt: 604570205, inv shift: 28038037, hard: 29272292, losses: 0
For p=67, n=5, niho: 0, shift: 355278, coprime: 268, inv wt: 184910, inv shift: 4574, hard: 4574, losses: 0
For p=67, n=7, niho: 0, shift: 3478844283, coprime: 8744, inv wt: 1051971961, inv shift: 48408222, hard: 50498012, losses: 0
For p=71, n=5, niho: 0, shift: 452410, coprime: 23241, inv wt: 209431, inv shift: 5208, hard: 5209, losses: 0
For p=71, n=7, niho: 0, shift: 4879924250, coprime: 1835568, inv wt: 1480427458, inv shift: 67791649, hard: 70684608, losses: 0
For p=73, n=5, niho: 0, shift: 490465, coprime: 0, inv wt: 258166, inv shift: 6244, hard: 6244, losses: 0
For p=79, n=5, niho: 0, shift: 660816, coprime: 0, inv wt: 350252, inv shift: 8635, hard: 8636, losses: 0
For p=83, n=5, niho: 0, shift: 813875, coprime: 0, inv wt: 424492, inv shift: 10343, hard: 10343, losses: 0
For p=89, n=5, niho: 0, shift: 1059582, coprime: 6119, inv wt: 551138, inv shift: 13344, hard: 13345, losses: 0
For p=97, n=5, niho: 0, shift: 1523060, coprime: 98185, inv wt: 685496, inv shift: 16451, hard: 16452, losses: 0
For p=101, n=5, niho: 0, shift: 1804460, coprime: 33399, inv wt: 880773, inv shift: 20936, hard: 20937, losses: 0
For p=103, n=5, niho: 0, shift: 1910783, coprime: 93829, inv wt: 895694, inv shift: 21299, hard: 21299, losses: 0
For p=107, n=5, niho: 0, shift: 2243494, coprime: 5679, inv wt: 1138444, inv shift: 26838, hard: 26839, losses: 0
For p=109, n=5, niho: 0, shift: 2367882, coprime: 48120, inv wt: 1183950, inv shift: 27838, hard: 27839, losses: 0
For p=113, n=5, niho: 0, shift: 2757769, coprime: 140192, inv wt: 1281990, inv shift: 30279, hard: 30279, losses: 0
For p=127, n=5, niho: 0, shift: 4417426, coprime: 0, inv wt: 2238771, inv shift: 52278, hard: 52278, losses: 0
For p=131, n=5, niho: 0, shift: 5033574, coprime: 43388, inv wt: 2487412, inv shift: 57883, hard: 57883, losses: 0
For p=137, n=5, niho: 0, shift: 5963356, coprime: 315269, inv wt: 2713971, inv shift: 63099, hard: 63099, losses: 0
For p=139, n=5, niho: 0, shift: 6221292, coprime: 81472, inv wt: 3113335, inv shift: 72764, hard: 72765, losses: 0
For p=149, n=5, niho: 0, shift: 8201090, coprime: 25337, inv wt: 4170349, inv shift: 96941, hard: 96942, losses: 0
For p=151, n=5, niho: 0, shift: 8828490, coprime: 0, inv wt: 4421145, inv shift: 102430, hard: 102430, losses: 0
For p=157, n=5, niho: 0, shift: 10233504, coprime: 648410, inv wt: 4535116, inv shift: 104664, hard: 104665, losses: 0
For p=163, n=5, niho: 0, shift: 11799139, coprime: 759287, inv wt: 5250532, inv shift: 120745, hard: 120746, losses: 0
For p=167, n=5, niho: 0, shift: 13073578, coprime: 109101, inv wt: 6469931, inv shift: 149464, hard: 149465, losses: 0
For p=173, n=5, niho: 0, shift: 14948885, coprime: 923, inv wt: 7556668, inv shift: 173614, hard: 173614, losses: 0
For p=179, n=5, niho: 0, shift: 17018196, coprime: 822053, inv wt: 7857900, inv shift: 181312, hard: 181313, losses: 0
For p=181, n=5, niho: 0, shift: 18097884, coprime: 858892, inv wt: 8214319, inv shift: 187295, hard: 187295, losses: 0
For p=191, n=5, niho: 0, shift: 22399442, coprime: 1068474, inv wt: 10149497, inv shift: 231966, hard: 231966, losses: 0
For p=193, n=5, niho: 0, shift: 23094617, coprime: 0, inv wt: 11642468, inv shift: 264982, hard: 264982, losses: 0
For p=197, n=5, niho: 0, shift: 25190920, coprime: 38977, inv wt: 12584210, inv shift: 288241, hard: 288241, losses: 0
For p=199, n=5, niho: 0, shift: 25947720, coprime: 193479, inv wt: 12952027, inv shift: 295751, hard: 295752, losses: 0
For p=211, n=5, niho: 0, shift: 33253878, coprime: 12778, inv wt: 16548202, inv shift: 376291, hard: 376291, losses: 0
For p=223, n=5, niho: 0, shift: 41036295, coprime: 2542754, inv wt: 18180777, inv shift: 411654, hard: 411654, losses: 0
For p=227, n=5, niho: 0, shift: 44248366, coprime: 0, inv wt: 22116446, inv shift: 500208, hard: 500208, losses: 0
For p=229, n=5, niho: 0, shift: 45401586, coprime: 2175754, inv wt: 20815632, inv shift: 470953, hard: 470954, losses: 0
For p=233, n=5, niho: 0, shift: 48865665, coprime: 826802, inv wt: 23732838, inv shift: 535599, hard: 535599, losses: 0
For p=239, n=5, niho: 0, shift: 53833712, coprime: 0, inv wt: 27118914, inv shift: 612788, hard: 612789, losses: 0
For p=241, n=5, niho: 0, shift: 56379792, coprime: 480251, inv wt: 27567891, inv shift: 623523, hard: 623523, losses: 0
For p=251, n=5, niho: 0, shift: 66265150, coprime: 3128395, inv wt: 29932345, inv shift: 675780, hard: 675780, losses: 0
For p=257, n=5, niho: 0, shift: 72495124, coprime: 3435258, inv wt: 32870784, inv shift: 740899, hard: 740899, losses: 0
For p=263, n=5, niho: 0, shift: 79152479, coprime: 0, inv wt: 39619915, inv shift: 892955, hard: 892955, losses: 0
For p=269, n=5, niho: 0, shift: 86256234, coprime: 4116146, inv wt: 39385194, inv shift: 888127, hard: 888128, losses: 0
For p=271, n=5, niho: 0, shift: 89875170, coprime: 185773, inv wt: 44441422, inv shift: 999692, hard: 999692, losses: 0
For p=277, n=5, niho: 0, shift: 97685336, coprime: 0, inv wt: 48663745, inv shift: 1095536, hard: 1095536, losses: 0
For p=281, n=5, niho: 0, shift: 103804904, coprime: 1928999, inv wt: 49667821, inv shift: 1116163, hard: 1116163, losses: 0
For p=283, n=5, niho: 0, shift: 105991595, coprime: 3092745, inv wt: 50023233, inv shift: 1124165, hard: 1124165, losses: 0
For p=293, n=5, niho: 0, shift: 121720717, coprime: 3698, inv wt: 60803947, inv shift: 1365376, hard: 1365376, losses: 0
For p=307, n=5, niho: 0, shift: 147104734, coprime: 134461, inv wt: 73049941, inv shift: 1639184, hard: 1639184, losses: 0
For p=311, n=5, niho: 0, shift: 155405418, coprime: 7317543, inv wt: 70038119, inv shift: 1568647, hard: 1568648, losses: 0
For p=313, n=5, niho: 0, shift: 158362449, coprime: 7506070, inv wt: 71844550, inv shift: 1608075, hard: 1608075, losses: 0
For p=317, n=5, niho: 0, shift: 167134528, coprime: 8147885, inv wt: 75313130, inv shift: 1686668, hard: 1686668, losses: 0
For p=331, n=5, niho: 0, shift: 199153614, coprime: 4345, inv wt: 98670911, inv shift: 2204500, hard: 2204500, losses: 0
For p=337, n=5, niho: 0, shift: 213257316, coprime: 0, inv wt: 105963800, inv shift: 2370754, hard: 2370754, losses: 0
For p=347, n=5, niho: 0, shift: 239606710, coprime: 399803, inv wt: 118642347, inv shift: 2647167, hard: 2647167, losses: 0
For p=349, n=5, niho: 0, shift: 243688410, coprime: 4234521, inv wt: 117719259, inv shift: 2626649, hard: 2626650, losses: 0
For p=353, n=5, niho: 0, shift: 255786233, coprime: 31719, inv wt: 127377083, inv shift: 2844147, hard: 2844147, losses: 0
For p=359, n=5, niho: 0, shift: 272768232, coprime: 0, inv wt: 136233436, inv shift: 3039630, hard: 3039631, losses: 0
For p=367, n=5, niho: 0, shift: 299551778, coprime: 14623899, inv wt: 134698422, inv shift: 3006205, hard: 3006205, losses: 0
For p=373, n=5, niho: 0, shift: 318655325, coprime: 0, inv wt: 158601909, inv shift: 3535370, hard: 3535370, losses: 0
For p=379, n=5, niho: 0, shift: 338654556, coprime: 19961041, inv wt: 149881308, inv shift: 3337919, hard: 3337920, losses: 0
For p=383, n=5, niho: 0, shift: 354116455, coprime: 16753382, inv wt: 160148827, inv shift: 3568207, hard: 3568207, losses: 0
For p=389, n=5, niho: 0, shift: 375749842, coprime: 17809176, inv wt: 170372952, inv shift: 3792266, hard: 3792267, losses: 0
For p=397, n=5, niho: 0, shift: 409713040, coprime: 0, inv wt: 203209119, inv shift: 4528110, hard: 4528110, losses: 0
Total Losses: 0
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End Time: 2017-08-25 05:19:50
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