Solutions of (x+y+z)(1/x+1/y+1/z)=n (-1 >= n >= -500) n | x, y, z -----+-------------------------------------------------------------------------- -4 | 1, -3, -6 -10 | 1, 3, -12 -11 | 1, -6, -10 -12 | 4, 35, -84 -18 | 1, 4, -20 -19 | 3, -14, -66 -20 | 1, -10, -15 -22 | 60, 2516, -3885 -25 | 1, 15, -40 -28 | 1, 5, -30 -28 | 21, -165, -560 -29 | 12, -77, -364 -30 | 156, -2109, -3367 -31 | 1, -15, -21 -32 | 15, -136, -440 -36 | 770, -8151, -24339 -39 | 1, -12, -33 -40 | 1, -7, -42 -42 | 2460, 11859, -101639 -43 | 5166, -23715, -272510 -44 | 1, -21, -28 -48 | 12, 65, -572 -50 | 63, 209, -2736 -51 | 266, -825, -19866 -52 | 5, 18, -230 -52 | 45, -770, -1827 -54 | 1, -8, -56 -56 | 175, -288, -25312 -58 | 27728847, 2085664428, -3712351475 -59 | 2, -21, -114 -59 | 6, -35, -406 -61 | 19535516, -196404156, -1171388655 -67 | 15, -348, -740 -69 | 3, -68, -156 -70 | 28, -667, -1449 -70 | 9, 275, -900 -72 | 52, 700, -4277 -76 | 1136460, -5053373, -109032735 -76 | 1, -36, -45 -78 | 9762340, -264208596, -551048889 -84 | 77, -2331, -4554 -85 | 4, -133, -228 -86 | 1812880, -2700432, -478997253 -89 | 1, -20, -76 -91 | 3, -102, -187 -92 | 45830904, 1457527240, -5623815849 -95 | 1, -45, -55 -96 | 3003037440, -5581682432, -627978474123 -100 | 4450012553, 219887106322, -663397965750 -101 | 364, -8140, -31185 -101 | 4, -39, -420 -102 | 2964, 81871, -378820 -103 | 153, -665, -20160 -103 | 3, -115, -210 -104 | 33, -248, -3784 -105 | 65608, -1607691, -5726661 -107 | 60830, -1007630, -6055049 -108 | 1, 10, -110 -108 | 18879, -424795, -1752180 -109 | 12, -435, -940 -112 | 2262, 112955, -365105 -113 | 20328951360, -99736669760, -2832105560781 -115 | 1, -33, -88 -115 | 105, -1122, -12430 -116 | 1, -55, -66 -120 | 57, 15189, -22078 -122 | 1, 44, -165 -122 | 1615, -76440, -129064 -123 | 220, -5916, -22695 -124 | 117, -5544, -9581 -125 | 5, -92, -580 -127 | 429, -3255, -60445 -128 | 35658194082392, -800409346881465, -4056672210935960 -129 | 56, -1551, -6072 -130 | 20064, 625713, -3188561 -130 | 3995, 358281, -878220 -131 | 2, -65, -210 -132 | 22, -345, -2805 -133 | 950463252, -17859699495, -117755978705 -134 | 168, -8296, -15113 -135 | 4, 115, -644 -137 | 86715, -308088, -16434440 -138 | 5628, 280532, -1051565 -139 | 1326, -27390, -169235 -139 | 143, -696, -24648 -141 | 62381, -1548624, -7756109 -143 | 10, -133, -1435 -146 | 5168, -372528, -407745 -147 | 35, -2010, -3318 -148 | 43310, 660715, -6755994 -148 | 442108545, -4799210570, -68232320079 -149 | 11628133, -147439348, -1758723372 -151 | 306, -3410, -48015 -152 | 11609, -239400, -1640600 -153 | 20, -884, -2295 -154 | 1, -13, -156 -155 | 332304, -1713680, -62937595 -156 | 1439528911314362421, -110928598318760174725, -120810211517748618096 -163 | 345052706536356, -2804009514167805, -62086062845845220 -164 | 7, -45, -1330 -164 | 5456, -136272, -807891 -165 | 4403, -197432, -556104 -166 | 54630497, -2438297148, -6967837373 -167 | 1, -30, -145 -168 | 18642, 18745935, -21895985 -169 | 1, 104, -273 -170 | 187, 56457, -88396 -171 | 4389, -65494, -748410 -172 | 2108015, 3696478, -238015290 -172 | 165, -11297, -17940 -180 | 1, 13, -182 -180 | 72335, -2803385, -10727262 -181 | 348, -1265, -86460 -181 | 76, -231, -20460 -182 | 1383527, -63935532, -196683140 -183 | 17445073464, -751378115125, -2557382884875 -186 | 8, -75, -1608 -188 | 1184, 156251, -379040 -190 | 23749, -246568, -4797933 -190 | 7268, -199796, -1249227 -191 | 1, -91, -105 -192 | 90109834240682484385008885, -401209294374288393451293960, -22119086564301694230130571704 -196 | 1448624961, -28741318515, -273385898006 -197 | 81418400, -130396399, -42870538400 -198 | 159165267954213684, 4528303028418327900, -35265416492422583525 -199 | 6, -483, -742 -199 | 77, -522, -17622 -201 | 4841086985456736, -346275232602628735, -652898304019129440 -203 | 1810385430, -2365017655, -1574266562726 -204 | 904953791, -6740111196, -208480569363 -205 | 77280, -4599701, -11699680 -206 | 1001, -100880, -110320 -208 | 76045, 2918118, -18471898 -208 | 1, -15, -210 -209 | 1312, -2365, -617760 -210 | 11, 48, -1947 -210 | 989989, 3183204, -163488052 -217 | 2653615432006448, -3335821159463625, -2827988261686302000 -220 | 2, 45, -470 -220 | 1, -105, -120 -221 | 1495, -23320, -332904 -222 | 197380, -11538807, -33508308 -222 | 22040, -93912, -6350565 -223 | 3, -85, -615 -223 | 5, -222, -930 -225 | 33836714253771989560, 439315250071461436115, -7571416007357463581763 -228 | 16068, 2030860, -5691883 -228 | 221, -20670, -30855 -231 | 91651098, -5395618943, -16356739665 -232 | 1196, -65205, -220220 -234 | 16, 1159, -4880 -237 | 1262552885, -68728101360, -239008428048 -238 | 1, 15, -240 -239 | 6, -77, -1491 -243 | 717314790, -741824265, -5297422807414 -246 | 280, -15576, -55209 -251 | 1, -120, -136 -252 | 5570313, -180385440, -1280164585 -253 | 21465586552543, -802278368620855, -4824905353091820 -254 | 18103188529088, -776070578286528, -3972138044295239 -259 | 63, -6776, -9864 -262 | 11703535, -1091000547, -2038373908 -263 | 52, -385, -15540 -264 | 42129051976, -55345194867, -46739109483528 -266 | 30591, 82181, -6064524 -267 | 3262692672225, -318336452272850, -570204106500798 -268 | 2030, -226107, -328338 -268 | 4677615295148, 2683225697203620, -3940807206411803 -269 | 12205847, -32021132, -5305852244 -270 | 1, -17, -272 -270 | 568581, -74997244, -81358017 -271 | 330, -40586, -50505 -273 | 22407015, -2709666399, -3520700836 -276 | 1183445751263178055926, -7755557557652398001235, -380296326259928115078331 -277 | 1207260, -10686285, -368918972 -278 | 105109975376, -1848750200685, -29356470697040 -279 | 1, -42, -246 -280 | 13299, -1770392, -2019867 -283 | 25390365, -1017228840, -6407648984 -284 | 592, 208560, -377067 -284 | 21, -1992, -4088 -287 | 221, -945, -82355 -288 | 1147455344, -89798812425, -247671513200 -292 | 285, -34935, -49742 -293 | 577060, -24482781, -149939460 -295 | 3453765268693545, -7451729357766120, -1901488193501314537 -296 | 39940888, -331567320, -13196490223 -304 | 1, 17, -306 -309 | 1131241306888, -112697900115801, -243198166633608 -310 | 69244132, -1497431971, -21155735796 -311 | 5, -84, -1580 -312 | 9188380198560217485, -243624950608344953160, -2755057883223090893176 -314 | 88, -713, -31000 -314 | 48, -671, -15664 -315 | 1403, 15029, -421876 -316 | 6, 350, -2225 -316 | 10144641441, -494135861681, -2801055215280 -317 | 315, -8140, -96404 -319 | 1, -153, -171 -322 | 129767245, 8081278659, -49442234544 -324 | 58, 9042, -27811 -326 | 3188238962579498843251443500415408, -82564900986089552676820376192106160, -1005314500298173903820288320454123315 -327 | 2392635025, -22229375025, -859667227692 -327 | 55957965, -2358121290, -16506173629 -328 | 570, 610530, -798019 -328 | 2088, -10595, -847080 -329 | 35, -368, -12432 -336 | 1651620779691190269700403280, -232407062849693911168979765607, -330984288448053326906549858128 -339 | 819, -2354, -425502 -339 | 35, -204, -14196 -340 | 1, -19, -342 -340 | 38, -555, -13395 -342 | 4, 1036, -2405 -343 | 4, 555, -1924 -344 | 464744, -2565288, -193716677 -345 | 131397534617638848561, -10157437673375290906748, -36070336750797970856473 -349 | 385588764, -6655656869, -137004089724 -351 | 3, -175, -903 -352 | 62076308250, 233100427732139, -255012864544389 -353 | 1090155845729288494371215, -156032117730594398600117616, -234414103342025503810692240 -354 | 1, -76, -285 -355 | 156188703496371315, -666605455114801016, -72108906445324316040 -356 | 318, 41910, -154813 -356 | 9595950, -73154513, -3879590325 -356 | 80, -2987, -26448 -357 | 265389757413131, 212927316490623120, -307900438978315920 -359 | 7, -282, -2310 -360 | 372453, 4298943, -128394244 -361 | 2773112586231, -6072683987480, -1844272420053096 -362 | 19898884869253416, -138152054919813480, -8320862201066353195 -363 | 1, 95, -456 -364 | 290, 954, -82415 -364 | 357, -55556, -76209 -365 | 69725264935875501054498375, -9068718037682699598437826500, -16755918939250184991598088988 -370 | 6818622059249, 93465432771084, -2457730833156053 -373 | 1842530529, -79391103280, -628163674320 -374 | 12, 2948, -7437 -376 | 95, -2328, -35112 -376 | 840, -116137, -204168 -378 | 1, 19, -380 -381 | 20546717532, -3469080265595, -4463047530492 -386 | 1156386536129240, -1706489849234072, -1387719724967715965 -387 | 20368334686066007063231059518623178356143415, -243430002410221781130011937888763200053077140, -8402077707930242418804969203474235160769206188 -388 | 26, 610, -10335 -388 | 23143145025, -1595638347654, -7567564686275 -395 | 1, -190, -210 -396 | 22461450615961041942279, -1507958704863971194658620, -7571004807846595368326139 -397 | 2012100, -40492725, -804310052 -398 | 1173, -3560, -695640 -398 | 920, -4929, -447320 -399 | 8346, -12901, -9450714 -400 | 588841623487179158816973715, -44792632157942884664796325440, -195202263986008076756260825536 -403 | 122247, -5096295, -45641192 -403 | 99, -17190, -23210 -405 | 645, 8364, -252109 -407 | 43043, -1325030, -16872570 -410 | 492, 8687, -200531 -412 | 1632536744180814403237591663000, -234031768083526963710520247033223, -447428680469389067877659677928625 -415 | 155442441, -652239885, -84401129015 -417 | 84794164, -287112660, -50097126765 -418 | 1, -21, -420 -419 | 30, -667, -12558 -420 | 165094, -4644666, -67597927 -420 | 28623, -925970, -11539605 -423 | 203937525, -1562277717, -98096716900 -426 | 65, -912, -29040 -427 | 13, -1725, -3900 -427 | 132685917, -10688630330, -46977650070 -428 | 168, -14525, -58600 -430 | 293148, -2396428, -141858245 -430 | 54116, -6302439, -17297397 -431 | 1, -56, -385 -436 | 19196493477402, -2158983687669445, -6330885265141437 -436 | 1, -210, -231 -439 | 35, -234, -17910 -440 | 246, 2806, -102787 -442 | 1290409836, 56527006429, -616592151105 -443 | 3094, -414645, -973830 -443 | 25243491884, -147967915095, -13391089014380 -444 | 437, -84189, -112056 -445 | 26846550123408059258286285, 4001305934870787021796402459, -15915163665197442141867162444 -446 | 55034099575, -722507981976, -25962622512424 -446 | 64934237644144, -414004895528560, -34076674835400015 -448 | 26505, -892366, -11401254 -448 | 1901182591274652440887033, -7158037337286707954134080, -1157108204412880613855478720 -449 | 5948747728, -54379758697, -2957421113808 -451 | 20930, -807282, -8927703 -452 | 8115292256626409830610616917062327925, -169733608546176409488977694937574645862, -3699574707581395823295784517983312369175 -453 | 37491523689790652255650279, -5934642566402014773161855820, -11251987974836301453619893780 -454 | 1425, -2336, -1661664 -455 | 71890, -5880589, -27394290 -456 | 4086036153714237, -174217106208836490, -1742443361630884682 -456 | 26103, -245960, -13126008 -457 | 201164018730375, 2528539889157904, -88067349449230375 -457 | 182427, -31486040, -52843560 -460 | 1, 21, -462 -460 | 35389363779380, -1667262743393793, -15040348078875555 -461 | 476, -24380, -200445 -464 | 3367, -55062, -1616049 -465 | 7698749080, -676903548255, -2961445101393 -466 | 4113576, 227095011, -2117629019 -467 | 12390, -386309, -5617590 -468 | 67244265, -6264939415, -25698437226 -470 | 9035171593728, 1416320410878464, -5651681613059931 -471 | 575054172599907, -22076057259578595, -257233319323810192 -472 | 4140956781155, -261609376683480, -1733331158732136 -474 | 196909833393, -1940109679872, -102357988844288 -475 | 12, -435, -5452 -476 | 4726904, -72199985, -2345363559 -479 | 1, -231, -253 -480 | 4, 63, -1876 -480 | 345, -5192, -172920 -482 | 2107835015520, -30158019130720, -1066597815657551 -484 | 15873, -138446, -8573019 -486 | 16552763780684331898683545, 26205629597880025307943175655, -34265630485764477952065713536 -487 | 136201303035, -344792975184, -109657637946235 -487 | 15, -3190, -4191 -489 | 535012800723204, -2111638931864979, -349543069144448740 -490 | 116, -2948, -56463 -490 | 61744, -9568977, -21034047 -492 | 2363432224531984100, 555786400148018158819, -1717623352587656648244 -495 | 360594000, -16215037227, -167103047125 -497 | 45192, -97565, -41873160 -499 | 8911727511, -113280374886, -4732181355818 -500 | 17419753015605040220070286101384988446, -483108840236351622646416656912139999695, -8589043733047527853254765598624586691655