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Solutions of (x+y+z)(1/x+1/y+1/z)=n (1 <= n <= 500) n | x, y, z ----+--------------------------------------------------------------------------- 11 | 1, 2, 3 14 | 2, 3, 10 15 | 1, 2, 6 18 | 2, 10, 15 26 | 1, 6, 14 29 | 2, -15, 78 30 | 10, 77, 165 31 | 1, -12, 44 34 | 1, 6, 21 35 | 3, 10, 65 37 | 2, -35, 110 38 | 90, 391, 2210 42 | 561, 6450, 13889 43 | 24, -65, 1640 44 | 777, -40810, 74518 48 | 70633, -3329130, 6685382 52 | 5, -464, 720 53 | 15, -1190, 1974 54 | 55, 595, 2002 55 | 1, 14, 35 57 | 6, -35, 435 59 | 2, 15, 85 62 | 5075, 128050, 160602 63 | 5, 119, 170 64 | 1, -40, 104 67 | 5, -68, 420 69 | 4823, -7458, 930930 70 | 70, 551, 3654 71 | 4, -33, 348 73 | 1, -20, 95 74 | 5, 22, 270 74 | 224, -369, 41760 75 | 10153, -58656, 957719 76 | 14, -99, 1309 82 | 119, 475, 7106 84 | 2, -78, 247 85 | 5, -138, 570 86 | 3, -336, 592 90 | 1386, 35226, 81473 92 | 203, -8778, 27550 93 | 106865, -144690, 37646466 94 | 571064, -1799160, 79045681 95 | 102, 2530, 6545 96 | 6816, -18921, 1024352 98 | 1221, 2950, 79550 100 | 5, -56, 595 101 | 6, -429, 1034 102 | 330, 6083, 25122 103 | 14156395253, -131237206100, 1736693066100 105 | 1, 21, 77 106 | 3, -136, 456 108 | 2392, -79097, 341185 111 | 15351, -47348, 2531028 112 | 2231075, -41400450, 301231359 116 | 4823, -203060, 767652 117 | 2310, -707135, 975338 122 | 1710, 15867, 169043 125 | 187330, -1984059, 27461070 126 | 3, 114, 247 127 | 79120, -1337611, 11863280 128 | 60035222945880, -1706091173761481, 9559325035330920 129 | 3, -65, 465 131 | 1, 35, 90 133 | 10030, -71806, 1601145 135 | 703, 24206, 66378 138 | 65812807752175077, 301773322386340365, 7031651355797512178 140 | 477676482, -70503528246, 137121411757 141 | 3, -44, 492 141 | 40158, -75278, 12086109 142 | 43260511, -19306310400, 25409350400 143 | 2530, 77349, 267270 145 | 14, -85, 2485 148 | 1665, -1775565, 2020348 151 | 4, -319, 924 153 | 76245, -10993220, 22624203 156 | 8, -69, 1464 158 | 3835, 7626, 389090 159 | 4614701, 51689386, 612670206 161 | 3, -119, 609 163 | 1639225, -29546128, 309216400 164 | 1205303, -101890008, 299910465 166 | 6699224, -61532184, 1295572057 168 | 26477979571559595, -771297495917407058, 5327669065808975255 170 | 42, 1771, 5106 172 | 391, -2120, 83720 173 | 4164989237389972783680, -1209258159065089767932480, 1926561500401208650031541 175 | 105, -8288, 26720 176 | 2, -57, 418 179 | 3, 65, 442 183 | 24, -6225, 10600 185 | 56, -195, 14595 188 | 1232, -19215, 264240 189 | 1190, -2470006, 2693735 190 | 2, 21, 322 192 | 3533813486478055, -95427409601473326, 793232953103362706 194 | 6150, 11413, 753662 194 | 38571, -663320, 8531544 195 | 6384960694, 440130833282, 770808212457 196 | 3, -35, 672 197 | 41607549, -58589380, 28153083780 199 | 15, -104, 3560 199 | 20, -221, 4556 201 | 481, -1386, 148239 202 | 3860743, 46424030, 665875287 202 | 165, -3864, 38360 203 | 2097497685, 10619919074, 341031388015 205 | 10, -858, 2915 208 | 7803425, -788250925, 2414454988 210 | 26, 2482, 2847 212 | 556924334185535574920737272977470281885268, -108330247204631183866777136086499984804751255, 226158369568634413878822342329578954739317052 213 | 26817778529802, -57450069318330, 10693539011072555 214 | 40, -3465, 12056 215 | 40041023489037938409, 2778699811221679654267, 5608478045977250286414 217 | 315, -1387, 89110 218 | 1613052000, -114808510557, 468610948000 219 | 188945, -1354332, 49038780 221 | 7, -222, 1806 223 | 1088494024414651485, -26596832353376013960, 277569836725434001672 226 | 17864, -26429, 12411256 227 | 51, 145, 8330 227 | 1595, -13020, 422268 228 | 10, -69, 2714 228 | 784384680, -130902076083, 309578048920 229 | 210, -6035, 55454 230 | 15269055153134258, 1676271081728062135, 1758959288386935690 232 | 40443, -272480, 11203680 233 | 184747290, -4014533047, 48773978310 234 | 1395, 115847, 203130 234 | 12, -1643, 4452 236 | 6082665, -1123467527, 2557264710 237 | 14321804509479564477984913848, -41307506785923110576866461725, 5200844248805287468519306038600 238 | 698083659, 13207738330, 143170089426 240 | 5591755904555, -851232210686130, 2193077603718183 241 | 1, -42, 287 243 | 952, -150365, 381640 244 | 7521163, -775267108, 2615522260 247 | 1059805348, -50642530180, 316037254005 251 | 273, 1802, 57187 253 | 5, -76, 1420 254 | 8, -4815, 6840 255 | 205755, 23612206, 27817689 257 | 1928355, -4139205, 926459149 262 | 8, -185, 2360 265 | 2755, -77280, 828989 266 | 83694, 1368713, 19442566 267 | 3, -660, 1460 268 | 4410, -453397, 1639242 268 | 382151009, -2897303313674, 2999338092630 270 | 75978, 4175105, 15801642 271 | 7, -376, 2296 273 | 1179633, -90663825, 414831950 275 | 767638195, -675722124688, 886111945005 276 | 68, -11508, 30277 278 | 13786, 23055, 2352770 279 | 216988478029953679280, -60579230631171336232005, 121010512611937772037477 280 | 160474, -4670447, 50890034 281 | 3, -275, 1122 283 | 4004, -1065540, 2196865 288 | 84791609448, -22318526541480, 46702253705255 291 | 26220, -922845, 8725556 293 | 113151196653101739165051269382590739480, -349264298897538223438125966466715250405, 49110718176877618271443130596824898627816 294 | 5, 570, 874 294 | 67080, -198856, 29791671 295 | 4715, -11456, 2362560 296 | 118549704, -13586634120, 48781100245 297 | 5, 513, 945 298 | 2, 85, 493 301 | 30646, -37791, 48634586 305 | 5, -2730, 4251 307 | 11504480026695615, -537425238880790540, 4124798448732972332 309 | 312, -1537, 121800 310 | 4277, 364626, 935701 310 | 80, -5355, 30384 311 | 8360, -106536, 2910765 312 | 26258406340, -467346902676, 9094953391791 313 | 77, -199485, 223510 315 | 142363, 8242065, 35525510 319 | 2, 150, 475 320 | 3307360089692, -55713220333505, 1174195255941588 322 | 55, 5723, 11682 323 | 2, 75, 550 323 | 44, -29205, 43380 324 | 2305359, -18657639, 866011640 325 | 782, -111343, 365959 326 | 2, 55, 570 326 | 21, -416, 7584 328 | 498269937732591080, -1453681107109706024, 248866737503260234995 329 | 213497970, -9711208338, 81124738373 330 | 1, 90, 234 331 | 56, -255, 23880 332 | 11121819376523973, -246224532744507200, 4091243692852027200 333 | 31995504121, -825230168620, 11846434835820 336 | 329684124, -37958527299, 149124597095 337 | 35, -204, 14365 338 | 34, 2325, 8925 338 | 6428625, -87236232, 2419837000 339 | 14314816, -454675776, 5437247955 341 | 4252485, -40150110, 1653122702 343 | 7, -1660, 4060 345 | 729570851625, -389454507545358, 640611878632750 346 | 20559, -221704, 8019528 349 | 4, -175, 1596 351 | 4, -119, 1564 353 | 1155, -9021, 474145 353 | 7, -1095, 3570 356 | 2171323, -75928083, 867458616 358 | 148336720303794737, -149258116873576040, 8578439691269287942440 362 | 451409647422739826, 10685448251805108969, 145183597859220342345 363 | 22589536881624157813659897460589614320, -439963441157327498076912060997346536176, 9038472106847665675355377609094975141855 364 | 8868015, -152289865, 3561932178 365 | 37365, -102696, 21445160 366 | 40974533360904, -3436273034902344, 18539083684077373 367 | 450542243358542393431411751508004, -2270701065068475995825540328534045, 207540714063256175688443013520085820 370 | 1, 77, 286 373 | 9090, -38665, 4450446 374 | 11531616154, 22382921106, 2804761284995 375 | 36, -18585, 32060 377 | 3041657384721971970570, -8488083965708508243845, 1787823840298063852815861 378 | 3763, 549610, 853207 379 | 1, -56, 440 379 | 40, -25256, 40385 381 | 130, -2898, 54495 381 | 4, -2379, 3900 383 | 226112493283734821211, -279078198502820895740, 455165928820570727880540 387 | 70, 6643, 20002 387 | 7995, -36820, 3970932 388 | 7505, -22168, 4405720 391 | 3082852221, -38038344036, 1343391458948 395 | 128345360216930810, 1524017055983533917, 44983544108913310615 396 | 1287, -8879702, 9388071 398 | 11643674, 2249101170, 2326730755 406 | 22, 806, 7843 408 | 35960762600, -8115318402600, 22793335596363 411 | 5137211193341568, -207238065353406080, 2362347143907957507 415 | 4, -95, 1820 416 | 113670432, -8574184736, 56284851051 421 | 4, -279, 1980 424 | 17888984, -35745325, 15165812200 425 | 63, -6786, 33698 427 | 302131320418438305563992860, -11626459828697166331273478460, 143490659323558453250304131101 428 | 160944930, -13431178413, 82853305795 429 | 496710657300, -765321907427, 605982656497452 431 | 526669, -1201728, 403830336 432 | 29212030748983443750991922823681846573035, -6392674926496548942946671292760255497832110, 19021462898543327011616672512930681790402723 434 | 36445, 54918, 9394142 434 | 297, 16157, 109782 436 | 155, -504, 97720 438 | 51, -280, 27480 439 | 11250348544256360, -51793402690943199, 6335668885081396504 439 | 105, -14756, 60996 441 | 1, -273, 714 442 | 70, 3905, 26341 444 | 252105952800, -5905088746401, 122328811167200 445 | 337276821, -16553415450, 169114705450 446 | 39586830086307700547922365360850825536255944320, -56530327873598092654584541213447239668694853248, 58791512535277482061414239984426613053814937237305 448 | 264576183671780399250, -143443816240017782489819, 261808293498010904647625 449 | 1, -165, 615 451 | 33, -232, 17512 452 | 5235407740200, -448040823780200, 2832719108142651 454 | 47723202219275565076783515576271548791309020518212093690963, -4240874665677269867410165322977003718193870536275992761195640, 26065572926249644341456173748431787166672261278042788322042040 455 | 422530, 48672495, 140936726 455 | 3, -444, 1813 456 | 3282928, -12420336, 2039564307 457 | 14773, -39910, 10720710 460 | 8, -4445, 8120 461 | 433827, -154234850, 354113298 461 | 2290002, -114919714, 1187670099 462 | 2562125, 65344125, 1068511906 462 | 235014, 23773225, 83205525 464 | 467304691, -28941459756, 248441498745 464 | 176596, -59098180, 141004605 465 | 9639975, -19629350, 8799456633 466 | 304, -194883, 336336 467 | 1275, 166634, 421225 467 | 1095291741889741463772642377174735, -29976988671719866391426367377322060, 558702738062999966937603661695509868 470 | 5478, 344262, 2178335 473 | 3452970607424305, -6931126665508080, 3251288315873735247 474 | 22740779880, -31630993064, 38279674296045 475 | 921069057114479, -104286682770442760, 544019244431851656 478 | 336131736520464354536198888941071114415, -8073117733870537306115558983722146022952, 175053039559129528224404121537088192307560 479 | 1540218069542236831844802939229435, -440985755047368266552128168631731308, 1178826353960758938416537163346742988 482 | 849560821133218004280, -49264826990257942790776, 464314698823533192922245 483 | 7528066, 325798070, 3212489049 484 | 6136, -129675, 3234675 485 | 7417063290, -3035514526527, 6630144937910 489 | 1882958249445, -24746258707170, 1017469438666507 491 | 12855628, -18308728035, 24609120660 492 | 4091475853653268722345847182, -3405135032834231491959288566435, 5414947820628857505061177449885 494 | 26, 690, 11635 494 | 48, -2163, 26320 495 | 14, 3002, 3857 497 | 11392147572309589947966, -1231897406768582267643895, 6925778382374832685689495 499 | 1540, -40996, 836385 499 | 17765, -63540, 12326292