gap> FactorsMPQS(3^163-2^163); #I Doing some preprocessing using Pollard's Rho #I Pass no. 1 #I MPQS for n = 1051393468687398276533387979205029767115167052826260227967025904169618077 #I Digits : 73 #I Multiplier : 29 #I Size of factor base : 3890 #I Factor base : [ -1, 2, 3, 7, 11, 13, 19, 23, 29, 37, 43, 47, 59, 61, 71, 79, 97, 107, 113, 131, 139, 149, 151, 157, 173, 179, 191, 193, 197, 223, 227, 229, 233, 239, 263, 271, 277, 281, 307, 311, 313, 317, 331, 337, 353, 367, 383, 389, 401, 419, 431, 449, 457, 461, 467, 479, 503, 509, 547, 557, 563, 593, 599, 607, 613, 617, 643, 647, 653, 661, 677, 683, 691, 701, 709, 733, 743, 773, 809, 821, 823, 859, 863, 907, 911, 919, 947, 967, 977, 991, 997, 1019, 1021, 1033, 1039, 1049, 1051, 1061, 1091, 1093, 1117, 1123, 1151, 1153, 1171, 1181, 1201, 1217, 1223, 1229, 1231, 1237, 1249, 1277, 1279, 1303, 1319, 1361, 1367, 1373, 1399, 1423, 1427, 1429, 1439, 1447, 1451, 1453, 1459, 1487, 1489, 1493, 1499, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1583, 1597, 1609, 1621, 1627, 1657, 1663, 1669, 1699, 1747, 1753, 1777, 1783, 1787, 1831, 1867, 1871, 1873, 1907, 1931, 1933, 1949, 1979, 1997, 2017, 2027, 2039, 2069, 2081, 2083, 2087, 2099, 2113, 2129, 2141, 2143, 2161, 2203, 2207, 2221, 2237, 2239, 2251, 2269, 2293, 2297, 2311, 2341, 2347, 2351, 2357, 2381, 2383, 2389, 2393, 2417, 2437, 2441, 2447, 2459, 2467, 2477, 2503, 2521, 2531, 2557, 2579, 2591, 2593, 2617, 2621, 2647, 2657, 2659, 2677, 2687, 2689, 2711, 2713, 2729, 2749, 2789, 2791, 2801, 2833, 2861, 2917, 2927, 2953, 2957, 2963, 2969, 2999, 3001, 3019, 3037, 3049, 3061, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3203, 3221, 3229, 3257, 3271, 3299, 3301, 3313, 3319, 3323, 3347, 3359, 3361, 3389, 3391, 3413, 3457, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3571, 3581, 3607, 3637, 3643, 3659, 3673, 3677, 3691, 3739, 3761, 3767, 3769, 3779, 3803, 3851, 3889, 3907, 3911, 3967, 4003, 4021, 4049, 4079, 4099, 4111, 4129, 4133, 4153, 4157, 4159, 4177, 4229, 4271, 4283, 4349, 4357, 4363, 4397, 4441, 4447, 4451, 4493, 4517, 4519, 4523, 4567, 4583, 4603, 4621, 4639, 4657, 4679, 4783, 4787, 4789, 4793, 4813, 4909, 4919, 4937, 4943, 4951, 4957, 4969, 4973, 4987, 4993, 5009, 5039, 5051, 5099, 5107, 5113, 5147, 5171, 5197, 5281, 5297, 5303, 5309, 5333, 5399, 5419, 5437, 5449, 5483, 5507, 5569, 5573, 5581, 5591, 5641, 5653, 5683, 5689, 5701, 5711, 5741, 5749, 5779, 5783, 5791, 5843, 5851, 5869, 5879, 5897, 5923, 5981, 6007, 6011, 6029, 6037, 6043, 6053, 6073, 6089, 6091, 6113, 6121, 6133, 6151, 6199, 6203, 6211, 6221, 6269, 6277, 6287, 6301, 6311, 6337, 6379, 6389, 6397, 6421, 6427, 6451, 6469, 6473, 6521, 6553, 6571, 6581, 6619, 6637, 6653, 6659, 6679, 6701, 6703, 6761, 6779, 6781, 6791, 6827, 6829, 6869, 6911, 6917, 6947, 6959, 6977, 6991, 7013, 7079, 7103, 7109, 7127, 7129, 7151, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7283, 7307, 7309, 7333, 7349, 7417, 7457, 7477, 7481, 7487, 7489, 7499, 7507, 7523, 7537, 7541, 7559, 7561, 7577, 7589, 7603, 7607, 7643, 7669, 7673, 7681, 7687, 7691, 7703, 7717, 7741, 7753, 7759, 7817, 7823, 7829, 7907, 7919, 7927, 7933, 7951, 7993, 8039, 8053, 8059, 8087, 8089, 8093, 8123, 8147, 8167, 8179, 8221, 8237, 8243, 8263, 8269, 8297, 8311, 8329, 8353, 8363, 8369, 8387, 8431, 8443, 8447, 8501, 8521, 8527, 8543, 8573, 8597, 8599, 8609, 8623, 8629, 8669, 8681, 8689, 8699, 8707, 8713, 8719, 8741, 8753, 8761, 8783, 8803, 8831, 8837, 8839, 8861, 8863, 8867, 8887, 8893, 8923, 8951, 8963, 8969, 8971, 9001, 9011, 9029, 9043, 9049, 9059, 9067, 9109, 9127, 9157, 9199, 9203, 9221, 9241, 9257, 9281, 9283, 9323, 9343, 9349, 9377, 9403, 9419, 9421, 9431, 9433, 9461, 9463, 9467, 9473, 9479, 9511, 9521, 9547, 9601, 9629, 9679, 9689, 9719, 9721, 9739, 9749, 9781, 9787, 9811, 9829, 9857, 9859, 9871, 9883, 9901, 9907, 9923, 9929, 9931, 9949, 9973, 10009, 10037, 10039, 10061, 10067, 10091, 10103, 10111, 10133, 10141, 10151, 10159, 10193, 10243, 10253, 10273, 10289, 10301, 10303, 10313, 10333, 10343, 10357, 10399, 10427, 10429, 10433, 10453, 10477, 10487, 10499, 10529, 10567, 10589, 10597, 10613, 10627, 10631, 10639, 10663, 10687, 10691, 10723, 10753, 10771, 10781, 10837, 10847, 10853, 10867, 10883, 10949, 10973, 10993, 11003, 11059, 11069, 11071, 11087, 11113, 11119, 11171, 11173, 11177, 11213, 11243, 11261, 11279, 11353, 11369, 11383, 11423, 11443, 11467, 11471, 11483, 11489, 11503, 11549, 11597, 11657, 11677, 11699, 11731, 11777, 11779, 11789, 11801, 11807, 11813, 11821, 11833, 11839, 11867, 11887, 11897, 11909, 11927, 11939, 11953, 11969, 11971, 11987, 12043, 12049, 12071, 12073, 12107, 12109, 12119, 12161, 12197, 12227, 12263, 12277, 12289, 12301, 12347, 12373, 12401, 12421, 12433, 12437, 12473, 12487, 12491, 12503, 12517, 12527, 12541, 12553, 12637, 12641, 12647, 12653, 12689, 12721, 12743, 12791, 12799, 12821, 12823, 12841, 12889, 12893, 12899, 12907, 12923, 12953, 12967, 12973, 12983, 13003, 13007, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13127, 13151, 13159, 13163, 13183, 13249, 13367, 13381, 13411, 13417, 13421, 13451, 13457, 13469, 13499, 13513, 13523, 13537, 13553, 13577, 13591, 13619, 13627, 13669, 13679, 13681, 13691, 13693, 13721, 13723, 13799, 13807, 13829, 13841, 13859, 13921, 13933, 13997, 14009, 14011, 14051, 14071, 14083, 14107, 14149, 14177, 14243, 14249, 14251, 14303, 14321, 14341, 14347, 14369, 14389, 14401, 14411, 14419, 14437, 14461, 14519, 14533, 14537, 14543, 14549, 14557, 14563, 14591, 14627, 14629, 14633, 14639, 14657, 14669, 14699, 14713, 14737, 14747, 14753, 14771, 14813, 14843, 14851, 14897, 14923, 14929, 15013, 15017, 15031, 15053, 15073, 15083, 15101, 15107, 15121, 15131, 15139, 15187, 15199, 15227, 15241, 15259, 15263, 15289, 15307, 15319, 15329, 15373, 15401, 15443, 15451, 15461, 15473, 15493, 15511, 15527, 15551, 15559, 15601, 15607, 15643, 15647, 15649, 15667, 15671, 15683, 15761, 15773, 15787, 15791, 15797, 15817, 15877, 15881, 15887, 15889, 15907, 15913, 15919, 15937, 15973, 16007, 16063, 16091, 16097, 16127, 16141, 16223, 16229, 16253, 16301, 16333, 16339, 16349, 16369, 16381, 16417, 16447, 16453, 16477, 16487, 16493, 16561, 16607, 16619, 16633, 16651, 16673, 16693, 16703, 16729, 16763, 16823, 16829, 16831, 16843, 16871, 16879, 16883, 16901, 16931, 16987, 16993, 17021, 17027, 17041, 17053, 17077, 17099, 17137, 17167, 17191, 17203, 17231, 17239, 17257, 17291, 17299, 17317, 17321, 17359, 17383, 17387, 17389, 17401, 17419, 17443, 17449, 17467, 17471, 17477, 17489, 17491, 17509, 17579, 17581, 17599, 17623, 17627, 17657, 17669, 17681, 17683, 17713, 17747, 17827, 17837, 17839, 17863, 17921, 17923, 17929, 17957, 17971, 17977, 17981, 17989, 18047, 18061, 18077, 18089, 18119, 18127, 18131, 18169, 18211, 18233, 18257, 18269, 18287, 18307, 18313, 18353, 18397, 18401, 18427, 18439, 18443, 18461, 18481, 18503, 18517, 18539, 18541, 18553, 18587, 18637, 18691, 18719, 18731, 18743, 18749, 18757, 18773, 18793, 18859, 18899, 18913, 18919, 18959, 18973, 19001, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 19259, 19273, 19301, 19319, 19333, 19379, 19421, 19423, 19427, 19457, 19469, 19471, 19477, 19483, 19501, 19507, 19543, 19559, 19571, 19597, 19603, 19609, 19661, 19681, 19687, 19699, 19709, 19727, 19739, 19813, 19819, 19853, 19861, 19867, 19889, 19937, 19961, 19963, 19973, 19979, 19991, 19993, 19997, 20021, 20023, 20051, 20063, 20071, 20107, 20117, 20147, 20149, 20161, 20173, 20183, 20231, 20233, 20249, 20261, 20287, 20297, 20323, 20359, 20369, 20399, 20407, 20431, 20441, 20443, 20477, 20507, 20533, 20549, 20563, 20611, 20693, 20707, 20717, 20719, 20731, 20743, 20747, 20749, 20753, 20759, 20809, 20887, 20899, 20921, 20929, 20939, 20959, 20963, 20981, 21011, 21023, 21059, 21067, 21107, 21121, 21169, 21179, 21193, 21269, 21313, 21317, 21319, 21379, 21383, 21419, 21433, 21487, 21503, 21521, 21523, 21557, 21559, 21569, 21577, 21589, 21601, 21611, 21613, 21617, 21661, 21683, 21727, 21739, 21757, 21773, 21799, 21817, 21821, 21841, 21929, 21943, 21977, 21997, 22003, 22027, 22051, 22093, 22109, 22111, 22153, 22157, 22193, 22273, 22279, 22343, 22349, 22391, 22409, 22433, 22441, 22453, 22469, 22483, 22567, 22571, 22573, 22613, 22637, 22651, 22669, 22697, 22699, 22727, 22777, 22861, 22871, 22901, 22937, 22943, 22961, 22963, 22973, 23011, 23021, 23029, 23039, 23041, 23053, 23057, 23059, 23063, 23071, 23081, 23087, 23131, 23143, 23173, 23189, 23197, 23201, 23203, 23209, 23251, 23269, 23279, 23291, 23293, 23297, 23311, 23333, 23357, 23431, 23447, 23459, 23497, 23509, 23531, 23537, 23539, 23549, 23557, 23599, 23603, 23629, 23633, 23671, 23689, 23719, 23753, 23761, 23813, 23819, 23827, 23831, 23833, 23857, 23899, 23909, 23917, 23929, 23971, 23981, 23993, 24007, 24019, 24023, 24029, 24043, 24061, 24071, 24077, 24109, 24133, 24169, 24179, 24203, 24223, 24251, 24371, 24391, 24413, 24419, 24421, 24443, 24473, 24509, 24517, 24527, 24533, 24547, 24551, 24631, 24659, 24671, 24691, 24749, 24767, 24781, 24809, 24821, 24841, 24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977, 24989, 25013, 25037, 25087, 25097, 25117, 25121, 25169, 25183, 25237, 25253, 25261, 25301, 25303, 25309, 25321, 25343, 25357, 25367, 25373, 25391, 25447, 25453, 25457, 25463, 25523, 25537, 25577, 25579, 25583, 25589, 25601, 25603, 25633, 25643, 25657, 25673, 25703, 25741, 25747, 25759, 25763, 25793, 25799, 25801, 25841, 25849, 25939, 25943, 25951, 25999, 26003, 26017, 26029, 26041, 26099, 26107, 26111, 26119, 26153, 26161, 26171, 26227, 26237, 26251, 26267, 26293, 26309, 26317, 26339, 26347, 26357, 26399, 26423, 26431, 26437, 26449, 26479, 26489, 26539, 26561, 26573, 26591, 26633, 26683, 26687, 26693, 26699, 26701, 26731, 26737, 26759, 26777, 26813, 26833, 26839, 26863, 26879, 26881, 26891, 26893, 26903, 26927, 26959, 26981, 26987, 26993, 27017, 27031, 27043, 27059, 27061, 27067, 27073, 27077, 27091, 27103, 27109, 27127, 27143, 27197, 27239, 27241, 27281, 27329, 27361, 27397, 27407, 27409, 27449, 27457, 27509, 27539, 27551, 27581, 27617, 27631, 27653, 27689, 27697, 27701, 27737, 27739, 27743, 27751, 27763, 27773, 27791, 27799, 27803, 27809, 27823, 27827, 27847, 27851, 27883, 27893, 27901, 27919, 27941, 27943, 27947, 27953, 27961, 27983, 28001, 28027, 28051, 28069, 28097, 28099, 28183, 28201, 28219, 28289, 28297, 28307, 28309, 28349, 28517, 28537, 28541, 28559, 28579, 28597, 28627, 28631, 28649, 28661, 28669, 28703, 28789, 28793, 28817, 28843, 28867, 28871, 28921, 28933, 28949, 28961, 29009, 29017, 29023, 29027, 29033, 29059, 29063, 29101, 29129, 29131, 29137, 29153, 29173, 29209, 29231, 29251, 29287, 29311, 29327, 29347, 29383, 29399, 29401, 29411, 29429, 29437, 29443, 29453, 29501, 29527, 29531, 29567, 29569, 29599, 29633, 29641, 29663, 29669, 29671, 29683, 29723, 29753, 29759, 29761, 29803, 29833, 29851, 29873, 29917, 29947, 29959, 29989, 30011, 30013, 30071, 30089, 30097, 30113, 30181, 30187, 30203, 30253, 30271, 30313, 30367, 30389, 30391, 30431, 30497, 30529, 30539, 30559, 30593, 30631, 30661, 30677, 30773, 30803, 30809, 30817, 30839, 30841, 30851, 30859, 30869, 30893, 30931, 30941, 30977, 31019, 31039, 31091, 31123, 31151, 31177, 31183, 31189, 31193, 31231, 31249, 31253, 31267, 31307, 31319, 31333, 31357, 31379, 31393, 31397, 31481, 31511, 31513, 31547, 31567, 31601, 31607, 31649, 31663, 31667, 31699, 31723, 31727, 31741, 31751, 31771, 31793, 31817, 31883, 31957, 31963, 32003, 32027, 32057, 32077, 32119, 32141, 32183, 32191, 32251, 32261, 32297, 32303, 32321, 32327, 32353, 32359, 32363, 32369, 32441, 32443, 32467, 32491, 32537, 32563, 32569, 32573, 32587, 32603, 32609, 32611, 32647, 32717, 32771, 32783, 32789, 32797, 32801, 32803, 32831, 32869, 32887, 32909, 32917, 32933, 32939, 32957, 32987, 32999, 33023, 33029, 33037, 33049, 33071, 33073, 33091, 33107, 33113, 33119, 33151, 33179, 33199, 33211, 33301, 33311, 33329, 33331, 33343, 33349, 33377, 33391, 33403, 33413, 33457, 33469, 33493, 33521, 33533, 33547, 33569, 33577, 33623, 33629, 33647, 33703, 33713, 33721, 33751, 33757, 33767, 33769, 33791, 33797, 33809, 33811, 33827, 33851, 33871, 33889, 33931, 33937, 33967, 34019, 34031, 34061, 34123, 34129, 34171, 34183, 34213, 34231, 34253, 34259, 34261, 34267, 34297, 34337, 34351, 34361, 34367, 34369, 34421, 34429, 34457, 34469, 34471, 34501, 34519, 34591, 34603, 34607, 34631, 34649, 34651, 34693, 34721, 34729, 34747, 34763, 34807, 34819, 34849, 34877, 34897, 34913, 34939, 35023, 35027, 35069, 35081, 35099, 35107, 35201, 35251, 35291, 35323, 35381, 35393, 35407, 35419, 35449, 35461, 35491, 35531, 35537, 35591, 35593, 35597, 35603, 35617, 35729, 35731, 35747, 35753, 35759, 35797, 35803, 35831, 35839, 35879, 35897, 35923, 35933, 35969, 36007, 36013, 36061, 36073, 36097, 36137, 36151, 36187, 36191, 36209, 36217, 36229, 36241, 36251, 36263, 36269, 36277, 36299, 36307, 36319, 36343, 36373, 36433, 36457, 36467, 36479, 36493, 36497, 36529, 36541, 36551, 36563, 36583, 36607, 36629, 36637, 36683, 36697, 36713, 36749, 36761, 36767, 36781, 36787, 36791, 36793, 36809, 36871, 36877, 36887, 36899, 36913, 36923, 36929, 36947, 36997, 37003, 37021, 37039, 37049, 37057, 37087, 37117, 37123, 37159, 37171, 37181, 37201, 37223, 37277, 37307, 37309, 37321, 37337, 37357, 37361, 37369, 37441, 37447, 37463, 37489, 37501, 37517, 37529, 37537, 37549, 37561, 37579, 37619, 37633, 37643, 37657, 37663, 37699, 37717, 37783, 37811, 37831, 37861, 37889, 37907, 37957, 37993, 37997, 38039, 38047, 38069, 38113, 38119, 38149, 38177, 38183, 38219, 38237, 38239, 38261, 38281, 38299, 38303, 38317, 38351, 38377, 38393, 38431, 38447, 38449, 38453, 38461, 38501, 38557, 38593, 38609, 38651, 38669, 38671, 38677, 38693, 38699, 38713, 38723, 38767, 38783, 38791, 38833, 38851, 38873, 38903, 38917, 38921, 38923, 38933, 38953, 38959, 38977, 38993, 39023, 39043, 39103, 39107, 39113, 39119, 39133, 39191, 39199, 39209, 39217, 39227, 39229, 39233, 39251, 39293, 39313, 39317, 39323, 39341, 39359, 39367, 39371, 39383, 39397, 39419, 39439, 39443, 39503, 39511, 39521, 39541, 39607, 39631, 39659, 39709, 39727, 39769, 39779, 39799, 39821, 39857, 39863, 39869, 39883, 39929, 39983, 39989, 40009, 40013, 40031, 40037, 40111, 40123, 40129, 40169, 40189, 40193, 40253, 40283, 40289, 40343, 40423, 40429, 40471, 40483, 40493, 40507, 40529, 40531, 40543, 40597, 40609, 40639, 40697, 40751, 40759, 40787, 40801, 40813, 40829, 40847, 40897, 40927, 40933, 40949, 40973, 40993, 41011, 41051, 41077, 41149, 41161, 41177, 41203, 41227, 41231, 41233, 41269, 41351, 41381, 41399, 41411, 41443, 41453, 41479, 41507, 41513, 41519, 41539, 41549, 41593, 41609, 41611, 41617, 41627, 41647, 41651, 41659, 41669, 41681, 41687, 41719, 41729, 41737, 41759, 41761, 41777, 41801, 41809, 41849, 41851, 41887, 41897, 41947, 41953, 41969, 41981, 41999, 42013, 42023, 42071, 42089, 42131, 42139, 42179, 42187, 42209, 42223, 42281, 42293, 42307, 42331, 42337, 42359, 42373, 42391, 42403, 42407, 42409, 42437, 42451, 42457, 42467, 42473, 42499, 42533, 42557, 42571, 42641, 42643, 42649, 42683, 42697, 42701, 42709, 42719, 42737, 42751, 42767, 42787, 42797, 42841, 42863, 42899, 42989, 43003, 43049, 43051, 43093, 43103, 43159, 43177, 43201, 43261, 43271, 43291, 43313, 43319, 43321, 43399, 43427, 43441, 43451, 43481, 43487, 43517, 43541, 43573, 43579, 43591, 43609, 43613, 43649, 43691, 43721, 43753, 43759, 43787, 43867, 43891, 43943, 43951, 43969, 43991, 44017, 44021, 44027, 44071, 44089, 44101, 44111, 44119, 44129, 44131, 44171, 44179, 44189, 44249, 44257, 44269, 44273, 44293, 44383, 44417, 44507, 44519, 44533, 44537, 44563, 44587, 44621, 44623, 44651, 44683, 44701, 44741, 44753, 44839, 44843, 44851, 44867, 44879, 44909, 44927, 44953, 44959, 44963, 44971, 44983, 45007, 45061, 45077, 45083, 45121, 45127, 45131, 45137, 45139, 45191, 45197, 45233, 45247, 45259, 45263, 45281, 45289, 45293, 45307, 45337, 45343, 45377, 45427, 45481, 45533, 45569, 45659, 45667, 45673, 45677, 45737, 45751, 45757, 45767, 45779, 45817, 45821, 45863, 45869, 45887, 46021, 46027, 46049, 46051, 46061, 46093, 46103, 46133, 46153, 46199, 46229, 46237, 46273, 46309, 46327, 46351, 46439, 46441, 46451, 46489, 46499, 46507, 46511, 46559, 46567, 46589, 46591, 46601, 46639, 46663, 46679, 46691, 46757, 46771, 46807, 46811, 46819, 46829, 46853, 46861, 46867, 46919, 46933, 46957, 46993, 46997, 47057, 47059, 47087, 47093, 47119, 47129, 47137, 47143, 47149, 47161, 47189, 47221, 47287, 47293, 47297, 47303, 47317, 47339, 47351, 47353, 47387, 47417, 47431, 47441, 47459, 47491, 47497, 47507, 47513, 47533, 47543, 47563, 47591, 47599, 47609, 47699, 47701, 47713, 47717, 47741, 47791, 47807, 47837, 47843, 47869, 47881, 47911, 47917, 47933, 47939, 47947, 47951, 47963, 47969, 47981, 48017, 48023, 48079, 48091, 48109, 48121, 48163, 48179, 48221, 48247, 48271, 48281, 48337, 48383, 48397, 48409, 48463, 48473, 48479, 48491, 48523, 48527, 48563, 48611, 48649, 48661, 48679, 48757, 48761, 48767, 48781, 48787, 48799, 48809, 48817, 48821, 48823, 48857, 48869, 48871, 48889, 48947, 48973, 48991, 49031, 49037, 49069, 49109, 49117, 49121, 49123, 49139, 49169, 49193, 49199, 49201, 49223, 49253, 49261, 49277, 49331, 49339, 49363, 49367, 49369, 49391, 49393, 49411, 49459, 49463, 49481, 49499, 49523, 49547, 49597, 49627, 49639, 49681, 49697, 49711, 49727, 49741, 49747, 49757, 49783, 49787, 49789, 49801, 49843, 49853, 49877, 49891, 49927, 49937, 49993, 50023, 50053, 50069, 50077, 50147, 50153, 50159, 50177, 50221, 50261, 50287, 50291, 50321, 50359, 50383, 50387, 50411, 50417, 50441, 50503, 50513, 50527, 50549, 50551, 50587, 50591, 50599, 50627, 50651, 50683, 50707, 50753, 50789, 50821, 50839, 50857, 50867, 50873, 50891, 50893, 50909, 50951, 50957, 50969, 50971, 51001, 51031, 51061, 51109, 51169, 51197, 51229, 51241, 51263, 51287, 51329, 51343, 51347, 51349, 51413, 51419, 51421, 51427, 51431, 51461, 51487, 51521, 51539, 51577, 51581, 51593, 51599, 51613, 51631, 51637, 51647, 51691, 51749, 51787, 51797, 51817, 51829, 51839, 51899, 51949, 51971, 51991, 52009, 52027, 52051, 52057, 52067, 52081, 52103, 52147, 52181, 52189, 52237, 52249, 52267, 52289, 52291, 52301, 52321, 52361, 52363, 52379, 52391, 52457, 52501, 52511, 52517, 52541, 52543, 52553, 52567, 52571, 52583, 52609, 52667, 52697, 52709, 52711, 52721, 52769, 52783, 52813, 52883, 52889, 52901, 52919, 52937, 52951, 52957, 52963, 52967, 52999, 53017, 53069, 53087, 53089, 53093, 53101, 53113, 53129, 53161, 53171, 53189, 53197, 53231, 53299, 53353, 53407, 53411, 53419, 53453, 53527, 53569, 53593, 53609, 53611, 53617, 53623, 53719, 53783, 53791, 53813, 53857, 53881, 53891, 53899, 53923, 53927, 53939, 53959, 53993, 54001, 54083, 54121, 54133, 54167, 54181, 54193, 54251, 54277, 54293, 54311, 54323, 54377, 54403, 54409, 54419, 54421, 54437, 54443, 54469, 54493, 54497, 54541, 54547, 54559, 54581, 54583, 54601, 54617, 54623, 54629, 54631, 54709, 54727, 54773, 54779, 54787, 54833, 54869, 54877, 54881, 54907, 54917, 54919, 54949, 54959, 54973, 54983, 55001, 55021, 55049, 55051, 55057, 55061, 55073, 55079, 55117, 55163, 55217, 55249, 55351, 55399, 55411, 55457, 55469, 55501, 55511, 55529, 55541, 55589, 55633, 55639, 55667, 55673, 55691, 55697, 55717, 55721, 55787, 55793, 55807, 55813, 55817, 55823, 55837, 55871, 55889, 55901, 55921, 55927, 55931, 55933, 55949, 55987, 56003, 56087, 56093, 56131, 56149, 56171, 56197, 56209, 56249, 56267, 56269, 56299, 56333, 56369, 56377, 56417, 56431, 56437, 56443, 56453, 56467, 56479, 56533, 56611, 56629, 56633, 56659, 56681, 56701, 56713, 56737, 56747, 56779, 56807, 56813, 56821, 56827, 56843, 56857, 56873, 56893, 56897, 56911, 56923, 56929, 56957, 56963, 56983, 56999, 57041, 57047, 57059, 57107, 57119, 57131, 57179, 57193, 57221, 57241, 57259, 57271, 57331, 57367, 57389, 57413, 57457, 57467, 57493, 57503, 57527, 57557, 57593, 57637, 57641, 57697, 57709, 57713, 57719, 57737, 57751, 57793, 57809, 57829, 57859, 57881, 57901, 57917, 57923, 57973, 58013, 58031, 58043, 58049, 58057, 58073, 58099, 58147, 58151, 58171, 58199, 58207, 58211, 58229, 58237, 58243, 58313, 58321, 58367, 58369, 58391, 58393, 58411, 58427, 58439, 58441, 58481, 58543, 58567, 58579, 58601, 58613, 58631, 58679, 58687, 58693, 58733, 58763, 58771, 58787, 58789, 58831, 58889, 58897, 58901, 58907, 58909, 58921, 58937, 58979, 58997, 59009, 59021, 59029, 59053, 59083, 59093, 59113, 59119, 59123, 59149, 59159, 59183, 59197, 59207, 59219, 59243, 59273, 59333, 59351, 59357, 59359, 59369, 59377, 59393, 59417, 59443, 59453, 59467, 59471, 59509, 59539, 59557, 59567, 59629, 59663, 59669, 59671, 59693, 59723, 59743, 59747, 59771, 59791, 59797, 59833, 59863, 59879, 59921, 59929, 59957, 60013, 60037, 60083, 60089, 60091, 60133, 60139, 60161, 60209, 60251, 60289, 60331, 60337, 60353, 60373, 60383, 60427, 60457, 60539, 60589, 60607, 60623, 60631, 60647, 60689, 60737, 60757, 60763, 60773, 60779, 60793, 60821, 60859, 60899, 60913, 60917, 60937, 61043, 61051, 61057, 61091, 61121, 61169, 61231, 61291, 61297, 61333, 61343, 61381, 61409, 61417, 61441, 61471, 61483, 61507, 61511, 61519, 61559, 61583, 61603, 61609, 61613, 61631, 61637, 61651, 61657, 61667, 61673, 61687, 61703, 61729, 61751, 61813, 61819, 61843, 61879, 61949, 61979, 61987, 62003, 62011, 62017, 62039, 62053, 62057, 62071, 62081, 62119, 62129, 62131, 62137, 62171, 62191, 62207, 62213, 62219, 62233, 62299, 62311, 62323, 62351, 62417, 62423, 62459, 62467, 62473, 62477, 62533, 62549, 62563, 62597, 62603, 62617, 62653, 62659, 62683, 62687, 62701, 62791, 62801, 62819, 62827, 62851, 62861, 62869, 62897, 62921, 62929, 62969, 62971, 62981, 62989, 63031, 63067, 63079, 63127, 63131, 63149, 63199, 63211, 63241, 63247, 63313, 63353, 63361, 63377, 63397, 63409, 63419, 63439, 63463, 63467, 63487, 63493, 63499, 63521, 63559, 63587, 63599, 63607, 63629, 63649, 63659, 63671, 63691, 63703, 63709, 63719, 63727, 63737, 63773, 63793, 63803, 63823, 63853, 63857, 63907, 63913, 63929, 63997, 64007, 64013, 64019, 64037, 64063, 64157, 64171, 64187, 64189, 64271, 64279, 64283, 64327, 64333, 64373, 64399, 64403, 64433, 64451, 64453, 64483, 64489, 64601, 64633, 64661, 64667, 64693, 64709, 64747, 64763, 64781, 64811, 64853, 64879, 64901, 64951, 64969, 65011, 65029, 65063, 65089, 65111, 65141, 65147, 65173, 65179, 65183, 65203, 65213, 65257, 65269, 65323, 65327, 65357, 65371, 65381, 65407, 65419, 65423, 65449, 65497, 65519, 65537, 65543, 65563, 65599, 65617, 65629, 65647, 65699, 65701, 65707, 65713, 65717, 65729, 65731, 65761, 65777, 65789, 65827, 65837, 65951, 65957, 65983, 66029, 66037, 66041, 66067, 66103, 66169, 66173, 66179, 66191, 66347, 66361, 66373, 66377, 66403, 66457, 66463, 66499, 66533, 66541, 66553, 66601, 66629, 66653, 66697, 66721, 66733, 66739, 66791, 66797, 66809, 66821, 66853, 66863, 66877, 66883, 66889, 66919, 66923, 67003, 67057, 67073, 67079, 67103, 67141, 67153, 67189, 67217, 67231, 67289, 67349, 67411, 67429, 67433, 67477, 67489, 67523, 67537, 67559, 67567, 67579, 67651, 67679, 67709, 67723, 67733, 67741, 67751, 67757, 67789, 67801, 67807, 67829, 67843, 67853, 67867, 67927, 68023, 68053, 68071, 68087, 68141, 68147, 68171, 68207, 68209, 68213, 68219, 68261, 68279, 68281, 68351, 68371, 68389, 68437, 68477, 68483, 68501, 68521, 68531, 68539, 68543, 68567, 68633, 68659, 68699, 68729, 68737, 68743, 68771, 68777, 68791, 68813, 68863, 68891, 68897, 68917, 68927, 68963, 68993, 69011, 69067, 69073, 69109, 69149, 69151, 69163, 69191, 69193, 69197, 69203, 69221, 69233, 69257, 69259, 69263, 69313, 69371, 69389, 69403, 69427, 69439, 69457, 69463, 69467, 69539, 69623, 69653, 69691, 69737, 69763, 69767, 69779, 69809, 69827, 69829, 69833, 69859, 69929, 69931, 69941, 69959, 69991, 69997, 70009, 70019, 70051, 70117, 70121, 70139, 70141, 70177, 70181, 70199, 70201, 70207, 70223, 70229, 70237, 70241, 70289, 70313, 70327, 70351, 70379, 70393, 70423, 70429, 70439, 70451, 70481, 70487, 70489, 70501, 70549, 70571, 70621, 70627, 70717, 70769, 70783, 70843, 70853, 70913, 70957, 70981, 70991, 70997, 71011, 71039, 71059, 71069, 71081, 71119, 71129, 71153, 71167, 71233, 71237, 71249, 71257, 71327, 71333, 71339, 71341, 71363, 71411, 71419, 71443, 71453, 71479, 71503, 71527, 71549, 71551, 71569, 71633, 71663, 71693, 71707, 71711, 71719, 71741, 71761, 71777, 71789, 71809, 71821, 71837, 71849, 71861, 71867, 71879, 71881, 71909, 71917, 71933, 71947, 71963, 71983, 71993, 72043, 72047, 72053, 72073, 72091, 72139, 72169, 72173, 72211, 72221, 72227, 72229, 72253, 72271, 72287, 72337, 72379, 72383, 72461, 72467, 72497, 72551, 72559, 72613, 72643, 72647, 72671, 72701, 72707, 72719, 72763, 72797, 72817, 72859, 72883, 72893, 72907, 72911, 72931, 72953, 72959, 72997, 73019, 73037, 73039, 73043, 73061, 73133, 73181, 73189, 73259, 73303, 73327, 73351, 73379, 73387, 73433, 73459, 73471, 73477, 73483, 73529, 73553, 73571, 73583, 73607, 73637, 73651, 73673, 73679, 73709, 73751, 73771, 73783, 73849, 73867, 73907, 73939, 73943, 73973, 73999, 74021, 74047, 74093, 74131, 74149, 74159, 74177, 74189, 74197, 74201, 74203, 74257, 74279, 74287, 74297, 74357, 74363, 74411, 74441, 74449, 74471, 74507, 74521, 74531, 74567, 74597, 74609, 74611, 74653, 74707, 74717, 74731, 74771, 74831, 74843, 74857, 74897, 74903, 74929, 74933, 74941, 74959, 75013, 75017, 75037, 75133, 75167, 75169, 75193, 75209, 75211, 75217, 75269, 75277, 75307, 75337, 75353, 75391, 75401, 75407, 75431, 75521, 75539, 75541, 75553, 75557, 75571, 75577, 75629, 75641, 75659, 75679, 75689, 75731, 75743, 75767, 75773, 75781, 75787, 75793, 75797, 75821, 75833, 75883, 75937, 75941, 75983, 75989, 75991, 75997, 76003, 76081, 76091, 76103, 76147, 76157, 76159, 76231, 76243, 76253, 76283, 76289, 76333, 76343, 76367, 76379, 76387, 76403, 76481, 76487, 76493, 76511, 76519, 76561, 76579, 76597, 76631, 76673, 76679, 76697, 76753, 76771, 76777, 76831, 76871, 76873, 76907, 76913, 76919, 76943, 76949, 76963, 76991, 77023, 77081, 77093, 77101, 77153, 77167, 77249, 77269, 77291, 77339, 77347, 77359, 77417, 77431, 77477, 77479, 77489, 77491, 77527, 77543, 77557, 77587, 77591, 77617, 77621, 77647, 77687, 77731, 77743, 77747, 77761, 77773, 77797, 77849, 77863, 77969, 77977, 77999, 78049, 78101, 78121, 78137, 78167, 78173, 78179, 78191, 78193, 78203, 78241, 78259, 78317, 78341, 78347, 78437, 78467, 78487, 78511, 78517, 78541, 78569, 78607, 78623, 78643, 78649, 78691, 78713, 78779, 78781, 78787, 78797, 78803, 78839, 78893, 78901, 78919, 78929, 78979, 78989, 79039, 79043, 79063, 79087, 79103, 79111, 79133, 79151, 79181, 79187, 79193, 79201, 79229, 79231, 79259, 79301, 79333, 79349, 79367, 79379, 79399, 79423, 79427, 79433, 79481, 79493, 79559, 79613, 79621, 79631, 79669, 79757, 79777, 79801, 79813, 79817, 79823, 79829, 79841, 79843, 79847, 79867, 79873, 79907, 79943, 79967, 79979, 79987, 79999, 80051, 80077, 80141, 80153, 80167, 80173, 80191, 80207, 80221, 80231, 80263, 80273, 80317, 80369, 80407, 80429, 80447, 80449, 80471, 80489, 80491, 80513, 80537, 80557, 80567, 80599, 80611, 80621, 80627, 80651, 80669, 80671, 80681, 80687, 80737, 80747 ] #I Prime powers to be sieved : 3904 #I Length of sieving interval : 524288 #I Small prime limit : 315 #I Large prime limit : 22945080 #I Number of used a - factors : 6 #I Size of a - factors pool : 74 #I a - factors pool : [ 175081, 175103, 175129, 175141, 175211, 175229, 175261, 175291, 175349, 175411, 175433, 175447, 175453, 175463, 175493, 175519, 175573, 175631, 175649, 175699, 175709, 175723, 175753, 175757, 175781, 175783, 175873, 175891, 175919, 175949, 175979, 175991, 176017, 176021, 176023, 176053, 176063, 176129, 176153, 176159, 176207, 176213, 176227, 176299, 176303, 176317, 176347, 176357, 176369, 176383, 176389, 176413, 176419, 176431, 176461, 176489, 176503, 176509, 176537, 176573, 176591, 176597, 176599, 176611, 176629, 176651, 176699, 176711, 176741, 176777, 176779, 176791, 176797, 176819 ] #I #I Sieving #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 100 #I Relations with a large prime factor : 7 #I Relations remaining to be found : 3877 #I Total factorizations with a large prime factor : 1787 #I Used Polynomials : 14041 #I Efficiency 1 : 8 % #I Efficiency 2 : 42 % #I Progress : 2 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 200 #I Relations with a large prime factor : 49 #I Relations remaining to be found : 3735 #I Total factorizations with a large prime factor : 4460 #I Used Polynomials : 34949 #I Efficiency 1 : 8 % #I Efficiency 2 : 41 % #I Progress : 6 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 300 #I Relations with a large prime factor : 113 #I Relations remaining to be found : 3571 #I Total factorizations with a large prime factor : 6773 #I Used Polynomials : 53204 #I Efficiency 1 : 8 % #I Efficiency 2 : 41 % #I Progress : 10 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 400 #I Relations with a large prime factor : 185 #I Relations remaining to be found : 3399 #I Total factorizations with a large prime factor : 8723 #I Used Polynomials : 68705 #I Efficiency 1 : 8 % #I Efficiency 2 : 41 % #I Progress : 14 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 500 #I Relations with a large prime factor : 271 #I Relations remaining to be found : 3213 #I Total factorizations with a large prime factor : 10658 #I Used Polynomials : 84820 #I Efficiency 1 : 8 % #I Efficiency 2 : 41 % #I Progress : 19 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 600 #I Relations with a large prime factor : 381 #I Relations remaining to be found : 3003 #I Total factorizations with a large prime factor : 12680 #I Used Polynomials : 100986 #I Efficiency 1 : 8 % #I Efficiency 2 : 41 % #I Progress : 24 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 700 #I Relations with a large prime factor : 508 #I Relations remaining to be found : 2776 #I Total factorizations with a large prime factor : 14623 #I Used Polynomials : 117067 #I Efficiency 1 : 8 % #I Efficiency 2 : 40 % #I Progress : 30 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 800 #I Relations with a large prime factor : 675 #I Relations remaining to be found : 2509 #I Total factorizations with a large prime factor : 16744 #I Used Polynomials : 135146 #I Efficiency 1 : 8 % #I Efficiency 2 : 40 % #I Progress : 37 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 900 #I Relations with a large prime factor : 829 #I Relations remaining to be found : 2255 #I Total factorizations with a large prime factor : 18721 #I Used Polynomials : 150716 #I Efficiency 1 : 8 % #I Efficiency 2 : 40 % #I Progress : 43 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 1000 #I Relations with a large prime factor : 1020 #I Relations remaining to be found : 1964 #I Total factorizations with a large prime factor : 20877 #I Used Polynomials : 167690 #I Efficiency 1 : 8 % #I Efficiency 2 : 40 % #I Progress : 50 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 1100 #I Relations with a large prime factor : 1227 #I Relations remaining to be found : 1657 #I Total factorizations with a large prime factor : 22950 #I Used Polynomials : 184736 #I Efficiency 1 : 8 % #I Efficiency 2 : 40 % #I Progress : 58 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 1200 #I Relations with a large prime factor : 1447 #I Relations remaining to be found : 1337 #I Total factorizations with a large prime factor : 25095 #I Used Polynomials : 202438 #I Efficiency 1 : 8 % #I Efficiency 2 : 40 % #I Progress : 66 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 1300 #I Relations with a large prime factor : 1659 #I Relations remaining to be found : 1025 #I Total factorizations with a large prime factor : 26887 #I Used Polynomials : 216827 #I Efficiency 1 : 8 % #I Efficiency 2 : 41 % #I Progress : 74 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 1400 #I Relations with a large prime factor : 1926 #I Relations remaining to be found : 658 #I Total factorizations with a large prime factor : 29113 #I Used Polynomials : 234672 #I Efficiency 1 : 8 % #I Efficiency 2 : 41 % #I Progress : 83 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 1500 #I Relations with a large prime factor : 2243 #I Relations remaining to be found : 241 #I Total factorizations with a large prime factor : 31500 #I Used Polynomials : 253424 #I Efficiency 1 : 8 % #I Efficiency 2 : 41 % #I Progress : 93 % #I #I #I Collecting relations with a large factor #I Complete factorizations over the factor base : 1600 #I Relations with a large prime factor : 2532 #I Relations remaining to be found : 0 #I Total factorizations with a large prime factor : 33530 #I Used Polynomials : 270301 #I Efficiency 1 : 8 % #I Efficiency 2 : 41 % #I Progress : 100 % #I #I Creating the exponent matrix #I Doing Gaussian Elimination, #rows = 4132, #columns = 3964 #I Processing the zero rows #I Dependency no. 1 yielded no factor #I Dependency no. 2 yielded factor 3708366963827908951215846307996661 #I The factors are [ 3708366963827908951215846307996661, 283519263045670202950666700299218504457 ] [ 561047, 3708366963827908951215846307996661, 283519263045670202950666700299218504457 ] gap>