Construction rule: Choose two numbers a1 and a2. Define sigma(a) = sum of all divisors of a. Define s(a) = sigma(a) - a. Calculate D = a1*a2-s(a1)*s(a2). D must be >0. Then find all combinations of d1 and d2 so that d1*d2=a1*a2. If the six numbers: p11 = (s(a2)*sigma(a1)+d1*sigma(a2)) / D p12 = (s(a1)*sigma(a2)+d1*sigma(a1)) / D p21 = (s(a2)*sigma(a1)+d2*sigma(a2)) / D p22 = (s(a1)*sigma(a2)+d2*sigma(a1)) / D r1 = s(a1*p11*p21) / a1 r2 = s(a2*p12*p22) / a2 are all integral, all prime, and gcd(a1,p11) = gcd(a1,p21) = gcd(a1,r1)= 1 gcd(a2,p12) = gcd(a1,p22) = gcd(a2,r2)= 1 then (n1, n2, n3, n4) = (a1*p11*p21, a1*r1, a2*p12*p22, a2*r2) is a sociable quadruple. List of (n1, n2, n3, n4) (based on Moews link dated 26-XI-2014): [28158165, 29902635, 30853845, 29971755] [2387776550, 2497625050, 2550266150, 2506553050] [88585861815, 90937094985, 90251247735, 90965321865] [111375706442, 117225146038, 122866422602, 117060156598] [1092162882824, 1177885756216, 1264819120424, 1178275499416] [39436853599990, 49492156514570, 62074019438326, 49491465978122] [65747483238255, 78580517888145, 93888654991215, 78572822896785] [92180272746590, 104006255391010, 117327253622750, 104006887977250] [96642590616495, 112224763759185, 130297323125295, 112225906053585] [209709847893070, 221694190481330, 234362429937550, 221713657896050] [223599822374385, 234792681945615, 246473413670385, 234772650969615] [430324482433184, 431866871590816, 433279475448704, 431856091847296] [535975018716375, 616306875683625, 708031646940375, 616302023459625] [1107681705347175, 1273700876412825, 1463265403676775, 1273690848483225] [1210691484867410, 1527541354292590, 1926846625813298, 1527539417434702] [1356505589071269, 1424408937136731, 1495272042933669, 1424287415882331] [1458738592308855, 1514622326219145, 1572111028911735, 1514528832848265] [1710359040970125, 2130643820725875, 2653498699329933, 2130447226340979] [1755676229313195, 1788418506686805, 1821198145117995, 1788428908642005] [1820741168916950, 2051026009623850, 2310219512619350, 2050935748436650] [12150997136979896, 13687176030226504, 15416604121127096, 13687257402840904] [37156338834393735, 41745533398790265, 46900305149385735, 41745711765196665] [52823029397187465, 53222010660860535, 53608849041833865, 53217525507606135] [79298571803687288, 80882231993727112, 82490702693327288, 80882218620490312] [79418066525588150, 81455197126559050, 83527148052538550, 81455230399429450] [82961403658006995, 86758289973481005, 90724767415395795, 86758402128284205] [114588454336625295, 115087954524328305, 115583776699336335, 115087979545630065] [249189504986549655, 277236896891220585, 306386519453910423, 277088734785944169] [1495588007152308375, 1547361481551179625, 1600894840386612375, 1547354032982987625] [3271770500537876337, 3501721539541688463, 3747779669783283057, 3501722904392880783] [4955998163344503165, 5411462520265360515, 5908601347620732189, 5411426864904492003] [6902169681516648370, 7248370899171863630, 7611922936520347570, 7248372603568420430] [6988288094023398525, 7586271874437401475, 8235347901837414525, 7586255770718105475] [13958491272110818875, 15541571920553245125, 17303555980791233595, 15541572856935732165] [27079421841380998089, 28719828344821340727, 30455908260179119641, 28719960191928445671] [34974511550868795230, 35664642857273233570, 36368366703512494430, 35664674103425771170] [58463193565500538425, 59292703244444600775, 60128225535659040825, 59292719304591685575] [104783327763059951145, 117922380767333136855, 132708734642414216745, 117922359376125303255] [129174865655679221301, 134764540387124808699, 140594257721034156501, 134767050089637972699] [149576079462330292850, 164681022280253707150, 181311277803984484850, 164681018159298715150] [232005757200888665475, 241362004103749388925, 251095069474724979075, 241361996279983475325] [349336500464076813675, 390003872732756594325, 435404142803583333675, 390003435067847066325] [781094947946581336365, 782622045475644890835, 784152098350475178285, 782622984730699042515] [856365114130078130410, 925930956920738791190, 1001147115530296454890, 925930901182834655510] [994150441555885882125, 1125224102107451077875, 1273577549770786986765, 1125224141519435646195] [1216327163895122388615, 1218604371594338372985, 1216951164542388643335, 1218605379672928463865] [1260138984642305601075, 1279377895169734526925, 1298900541184385973075, 1279377603089702282925] [1273465975511396463764, 1473257274676914314236, 1704390941987587011524, 1473257504988581594476] [1760276329085877273472, 1774002267407400326528, 1787833449028343673472, 1774001844321396326528] [3172146245376008177277, 3282590097539140110723, 3396877099598128241277, 3282591623046961038723] [3967259056160548045504, 3982632360352808732096, 3998064211797882714304, 3982632603503121922496] [4944285817292039471253, 5498842573970406127467, 6115565621975041099413, 5498831025583824206187] [6376068162693842700555, 6812689074352466617845, 7279205289673659069195, 6812690502108392374005] [9732987637861564127835, 11142347118771167520165, 12755774283812939078235, 11142344362076101305765] [9845272003768327845495, 11279389107205814679945, 12922341390171468183159, 11279388949383942506889] [12015582455500352695694, 12044310224990572744306, 12015684016007853511694, 12044310467378418808306] [21110038786148899493907, 23451235372173150595053, 26051812548966351595539, 23451241650267386460141] [60408657270089967909092, 63770502932892194522908, 67319409739816495115492, 63770508765014974452508] [97438042959521002441065, 108405129946018924066455, 119803210999514749473129, 108347195621779724136087] [100805144361379855289068, 103831608305414552892692, 106948916760522865797868, 103831603731649764832532] [117701642653548795575955, 121634645296738109256045, 125698590452648995588755, 121634613011305423713645] [127735111770308496156105, 127870741499225281763895, 128006484638238134248905, 127870742226200145943095] [140201138394312225059907, 142000959424420364422077, 143823562363779094492227, 142000827519354416057277] [169874479526337800201824, 170897508577451118274976, 171926661841370665568224, 170897496942769455519776] [232964936043894604049824, 233004472953765796398176, 233043942575736414989344, 233004476705132414092256] [321234588076603157961808, 329809995063784332591152, 338614180337509458810448, 329809994712090123711152] [455449879323655623656384, 460256233251615186934336, 465109226480399267470784, 460256233273935581206336] [1258001326904986787834192, 1291142792467874690473648, 1325157250504564268662352, 1291142799767123146172848] [1428079656460304185809170, 1678882535956074085886830, 1973731964638833324213170, 1678882535639030882666830] [2176327913984093483654625, 2241124350765148634745375, 2307849553876014537494625, 2241125748128618802345375] [3790769141149161850960250, 3889775039312790599599750, 3991366099247690074192250, 3889774933524024997807750] [6233962777712827671818205, 6271919001171130211061795, 6310105484031602938327005, 6271919308474123857448995] [6738804426329779678811775, 7174233284386500100893825, 7637795969071842047426175, 7174232624388497114109825] [7731456891618894366037365, 7897495900473498065041035, 8067100593515891660973045, 7897496064839736873478155] [9885615426676893648733569, 10130775365277315743496831, 10381986847228317147997569, 10130768007438256292616831] [9968058569577703135948875, 10442192066306480585971125, 10938870772267972502284875, 10442192119174265044915125] [12688783403597870254995855, 13665148353613026725381745, 14716639689111323966048655, 13665148500026413688223345] [18861886276604139155063175, 18900232684691297550024825, 18938656169400016618208775, 18900242882241359692959225] [22483058375008335490870275, 24834144327247691140297725, 27431082177547616703900675, 24834144660321344662115325] [28288762783612292101465130, 31974937453769765199219670, 36141439597048490574030890, 31974937864109463664433110] [37819374184791154542363777, 38049641940438189947108223, 38281306603125057825850497, 38049643804743018068523903] [46977269868890641090653885, 56501799909942134844117315, 67956046312913681952960189, 56501567120534919048368451] [52765362856651602231480172, 54321214730862151937659028, 55922942003908076868792172, 54321214532090564836679828] [115285188489544694050116435, 138658987012138196387310765, 166768431414881807349650259, 138658415732224226449681581] [120468779743797776462364675, 122425730955019346005475325, 124414433451458252609667075, 122425737426706213136252925] [128910223233759138047221972, 136171184010080271068569388, 143841107574402284464720852, 136171183906332042847171628] [151479479595391045539279896, 152107076337045342344854504, 152737271076717316269750296, 152107075383650818398128104] [268738565378449889248099035, 269196248763412703721014565, 269654684810021379826531035, 269196275496621751674422565] [359217497653329906123792970, 361785090024059689369199030, 364371034010738578570320970, 361785090028913561725679030] [363669661088617635231315176, 399460709828887757293484824, 438774182197523228039091176, 399460710589196548478924824] [464360514928943259297173139, 466945487299914042848106861, 469544280634358847712661139, 466945490448863346613098861] [749097220032020898810221835, 750863521119100022830820085, 752633936357953029955151115, 750863521238114207718054645] [1238230512435534843146374035, 1315075038316160270110585965, 1396688459197757363830918035, 1315075037999223207509881965] [1711297340943786116109511448, 1888101127065987604236088552, 2083171509832141053585914648, 1888101133101861062087685352] [2346727862974452098740419375, 2369573992659876194205500625, 2392642407470245633043139375, 2369574002625104282451260625] [2869143276489624384814244672, 2898518150206342368321531328, 2928193769033289270342884672, 2898518152342537554417915328] [3273447444077712207870469125, 3301182341516502305771002875, 3329152201008837267067909125, 3301182330204930343840762875] [4365820056038767701648443205, 4517240788782493327113156795, 4673913268559529099574331205, 4517240785123370176693188795] [7511931775442244715088002479, 7978121899118038972004221521, 8473243319133061340574236079, 7978121897195287458893283921] [7570005100154131137887298170, 7904553105145688657263345030, 8253886040954710127420840570, 7904553090296912765483607430] [16493854433810654640679081155, 16659190733796623431949187645, 16826182478352847456353719235, 16659190180306797278895317565] [23719774735815064211723834456, 25161515607161831556593503144, 26690888512430862495260313176, 25161515517302753856107674024] [65545181656114464662087235250, 65548999566506766433848764750, 65552793178634591490115779250, 65548999567930385919829820750] [170192704287735216210764179539, 189553518985067274045966178221, 211116661444624989010882029651, 189554535469915745227098724269] [475070174388961596043520880915, 494431259431038033717851279085, 514581377021619031270255268115, 494431259431835126105795931885] [636499778862883888689111652156, 666494722087834874525292955844, 697903170601335155179321136956, 666494722157908808917663541444] [1709722805910697412992685336608, 1724837735870363797252919463392, 1740086290292260126886403080608, 1724837735804717729624807415392] [2317767947240920557262327179963, 2375247621656266713665946064197, 2434152667121688399242150406843, 2375247717266306314867521754437] [2606787865657293984410204932875, 2610797209929509419613213947125, 2614812338342821514474613508875, 2610797210037813345156531451125] [2668433309031876701773023013072, 2833226610340886605998404986928, 3008196851983938892632243973072, 2833226610340867988248767226928] [3173046634295897903427859297335, 3276703330335460681772140702665, 3383746270346419469924407297335, 3276703333925321099367592702665] [3698442471517989059294076889515, 3732229168070884827731714086485, 3766324515973088048355536857515, 3732229171125636741273473062485] [5387361589025074234447756861275, 5395647567187652800533975490725, 5403945499241831129914201251675, 5395647567411480913323498332325] [7115357079601573667938023993525, 7981846973514782108323136966475, 8953855772230217368630325049525, 7981846971390600053885898950475] [9333609351506897340348642890530, 9489439311465945440798230965470, 9647870940513161880329818903330, 9489439313400648027267905973470] [17127205320936383720956489332375, 17586189947256777347464062347625, 18057473752023806930776584349335, 17586189947302382177441595413865] [23708390557238279117317976280975, 24279385677645486475730030375025, 24864132659993761298367573413775, 24279385662386099433818362458225] [38610270684012998111165357181849, 39639550694680687719820845544551, 40696269360591233181427366300569, 39639550692725485008565628761191] [65102017285805026437223511825781, 65398584278844707400454025454219, 65696502220141042637069366110581, 65398584297660905072139634849419] [90260237090844119686195870849095, 108672820870022659645661943474105, 130841468788794575382457536845895, 108672820867852138947285893605305] [177417524717010270966943384481488, 178391826723465796951420925079344, 179371479149504780650253963355856, 178391826723507138680495960716592] [2028259541841905471815362469912430, 2245181736134074016140704735002770, 2485303741591993297203263737685870, 2245181736186387629971594167056530] [5757440099806931698752627664003630, 5821110677601018248621730005884370, 5885485377601578770782168463000110, 5821110677511823124282468056475090] [7535076874508075497962012611861828, 8755229792220528619772289801757372, 10172961734857697678373513852560708, 8755229792406862939276415845128892] [25882265447325632294900116566667930, 29143587458757470834539308712103270, 32815855770882497976147195523723930, 29143587458374302217536323390836070] [33105961236228346292404166616953205, 35327889573401576461857775655046795, 37698944090374413141833299220345205, 35327889573402901818743525386374795] [38965204833140025019125553789263105, 39321166988008526451483740309168895, 39680380961214181496881783957839105, 39321167020192083433168194983600895] [39112970754741290655955199528114079, 39747031298726665969018389828122721, 40391370582949754494786946325918879, 39747031298906648514663241800545121] [57203500174033092718907524800361875, 61555847049338671480128141119638125, 66239343622223790765986667636841875, 61555847061695426550966856715158125] [69985120407134435488697883417157527, 71720722083613544753698590450475113, 73499362911049559774808061185073047, 71720724970563526776837820833620073] [79720230712447264954174995405885405, 88239254739809347644507643995074595, 97668634515558390457998230046986205, 88239254739480933227981400422133795] [163441574292269266509654942424313715, 164513120234310405113931677025030285, 165591691318964155824812610502803315, 164513120203630815317482424549228685] [171747907447957966350174765739152537, 176007183625013270976956070954003303, 180372080597920372074887788591125657, 176007190709770937105773429787913063] [226060980566069181080418624779155712, 226215154723019927472174085405804288, 226369433738013212754868726176019712, 226215154723136497293599882856172288] [346717974663150402925726294622837319, 349980063809599873991728475317233081, 353272844242629203267654012220963399, 349980063808404419381110954549478841] [635565431152920306491886782369615175, 747923167692399280143120011465290425, 880143943214823234965024597602856775, 747923167692593199571159018985636025] [925114688179217919724232420427574216, 1025460343771801288935383834190025784, 1136690326160058376713743461807030216, 1025460343771953439288284034593865784] [2640252556204588219068323587833154695, 2773224820782449632218225894485437305, 2912894029191911577028900652885276295, 2773224820810130502566194726245603705] [2686186317312072168385276277806904055, 2800560984855946990362008975476935945, 2919805591762050588746233262792504055, 2800560984921838593577485900763335945] [149426098253321819849371648905334678899, 150106845863085904475618503012935375501, 150790694763010622148173210182407882099, 150106845863049831763376945935154281101] [956721529414102602539229749574228633609, 958117331223809166625820600437556582391, 959515168962151756586749782108847104009, 958117331223811954526054317616412057591] [1381523347081447404551358629572525186935, 1460957206893948034573409131751850877065, 1544958299026579763867776359792467566455, 1460957206894737392508643797771493777545] [3455944563510730476819381489114854159595, 3891920760731631926853210520882320624405, 4382896464175360935080003812474449167595, 3891920760730935791847406011669975792405] [17585789963428534013904404002021320008144, 18497231400048707803835849252271758007856, 19455911288493918107778981565230275912144, 18497231400048309531626769947099030199856] [36803250848591150631010789561100689169385, 37010272954644073806610838346870314478615, 37218459581179800088886015091333630084585, 37010272954644070922025978118612610017815] [227102582644576165814138794069867493287264, 229804491173878460452028870070106839640736, 232538545131090691836832832317980020136544, 229804491173878657921668679564687889802656] [860518663305771804274837246578188722617375, 898161060171567738290653871550127578182625, 937450080291700596378888844929224789817375, 898161060171715912596251553665268349382625] [5115486295605105878861671702552082327013525, 5318445047310548895415558723406039407130475, 5529456260208696419132379597741531067058325, 5318445047309229216363452354158565526861675] [6035224922254092641981465838954300759425475, 6035546806067373505494474098911043240574525, 6035868707047189713749540831490067959425475, 6035546806068249403179220047338543240574525] [391150239292252590375909613374696200110421488, 412706950753625424982046686336737421393578512, 435451675827984725580928493503563614741333488, 412706950753625437407286121400928295713962512] [429168480405571212692995943031525059785201875, 457588145237691356054233611170794084765198125, 487889768754165981946621343462680018326001875, 457588145237691338668423889943053550185998125] [14297285407456393433046760120968525049181470311, 14640457342551525607358025553132568864363233689, 14991866294232697687124933787564783082428190311, 14640457342551534725423980967036406645090529689] [90769015419218113854283914785667327395531483090, 93217915542980062046845416395623224263865636910, 95732885699433900744046540353043304534214567890, 93217915542980052197620698709984949250193496110] [181017541347134401796562505110734885245314452710, 183453436764234006003455468784446760709757547290, 185922111249966914853345771282277471159220833510, 183453436764234006002798864819744602767066526490] [6979168587786198405613150434932148550855240118175, 7608777983463529523279856183493392983942815305825, 8295186120443361092848717143372297546933641654175, 7608777983463529504745800969931467275877432905825] [14519107409328055020788010497049864497969588903050, 15935489691127313803962737222455764690601007448950, 17490044293830124306125587405618544759490166797450, 15935489691127313792072711838649378844826697714550] [20555852431559739232866128361655153827588186979725, 20936741489491920063864359101016542213563440284275, 21324688219925505797020107181653230974319362915725, 20936741489491920002129566784321067873623735452275] [30942701953271805880422483450380899428573374444624, 31037910260308902337647868599815763638655297555376, 31133411515962522019914599924585624865325867244624, 31037910260308902358973762201696123674834132755376] [188394822420306182891126641945239989877660353275605, 192221914921944033127059535109588931399812165687595, 196126751794832804478573602238876131562134348539605, 192221914921944033127139721517226368880895315368235] [5538448230054607532641022881236353541103976064744284, 5933551532490520114777989734560176571832075066673316, 6356840820081741207915113569521334449564183917909084, 5933551532490520174792887745139882295103232479223716] [62758261876984852057057483693931511681163489828154612, 63647672711074190087858290191659676489350012189790988, 64549688286087456923030664375059664453743310973447412, 63647672711074190067897246740506167338979458373112588] [147746834067985707361310732616679007213699366371920375, 156954852055209571165255892097028363273798468943279625, 166736740851834488340986563768567891579735713095760375, 156954852055209571178089427171534166635492580024239625] [61409604971013609454103769127031345280518619430163431065, 63147284794766419853817690777106987749189247478158360935, 64934134958750254807130546909594147594946066544337383065, 63147284794766419852498143432953137987005585989142040935] [177721053704812504796779110289265966410838032792099131891, 178505359444203308968745310989108463243958772869958852109, 179293126425129690139636824554292184245819045539284693491, 178505359444203308968743716852177090232262194886376746509] [635004216461413136028700889551951420724649274710492658150406, 641158550794243269155553973619696867938876346084746991948794, 647372531709093465600170701412095558265866812707006606489606, 641158550794243269197290632677521518823755235098973468641274] [2367126116412900968387931734400273122968802087481409802018865, 2378774739565855609602470312478072917252170662989756971101135, 2390480685571369189661104146687231275028040848738483702434865, 2378774739565855609455749745417185257418800503460872569565135] [3980276263254444341640318688261890355966199851172181287058049610, 4215932035780994466928320588952809354539564011500189661452670390, 4465540016509213099462649089695103916782193021858023304082049610, 4215932035780994466928304899207461587432059165084815195872638390] [6330456296084620840401049177220050833323890146040449536896293952, 6394117875518783682947180878291106576809871393295631332118643648, 6458419661046551322190704269885085118792264264779647764712514112, 6394117875518783682945529429951224343570967740823481386550615488] [74966435804954056733374490946780103649951940889211163998924387657536, 75385147455880591946108499000613657357571283105196338951722391222464, 75806197746022652445360679546219342575226376816152037598446569404736, 75385147455880591946108498983032759932714477440874227955575266371264] [3532142252955665757234680218719638489858655402001899045080797512617050, 3961908610721864308561117816466026727224377755402926125725014791664550, 4443965932169683994796538870070324833233679819319817037984141878031450, 3961908610721864308561117814759316998568538367038583807369010902666150] [7365738027746798010069605019386624442919246919276378703542082617738170, 7524064425356786991371274008185470815931414373336211126722381168245830, 7685794045846238666940615590189023542281392190783931710533861790090170, 7524064425356786991371273977993529263889981756276242375760858584284230] [24604969601522730119812483081690177911114675451920256511530819984744010, 29380170319863500892339892502331399034100294620489917702058830906007990, 35082116418090090751430321709203100961767254346549696524874398302465610, 29380170319863500892339892502360608774950013665995101325117337838539190] List of (a1, a2, d1, d2): [945, 1485, 315, 4455] [29450, 91450, 7750, 347510] [236115, 476685, 4455, 25264305] [118118, 3542, 4186, 99946] [3848, 459688, 296, 5975944] [171710, 71806, 3122, 3949330] [440895, 23415, 23205, 444885] [2030, 32750, 70, 949750] [3465, 54315, 225, 836451] [70, 447350, 1610, 19450] [1264545, 221265, 479655, 583335] [834016, 59776, 6224, 8009984] [1393875, 300375, 3375, 124054875] [2880675, 620775, 6975, 256380075] [312130, 196882, 2870, 21412118] [7671573, 1342341, 2909907, 3538899] [8230365, 1708785, 748215, 18796635] [8497125, 58149, 67977, 7268625] [16695, 850185, 315, 45059805] [1130150, 3350, 32290, 117250] [260728, 1644616, 30728, 13954616] [1758735, 3119895, 1758735, 3119895] [223267005, 789165, 589095, 299093535] [320216, 44536, 104, 137126344] [13576450, 15315550, 241490, 861032750] [11498355, 12825945, 11498355, 12825945] [706095, 1024335, 9945, 72727785] [510008217345, 282638915163, 83129092695, 1734027938973] [28706625, 12375, 5625, 63154575] [40297257, 45399123, 20351331, 89893881] [310740705, 93138903, 93138903, 310740705] [521170, 1407370, 126730, 5787730] [35959275, 6970725, 4952475, 50613525] [2500875, 11137815, 5265, 5290462125] [3702239541, 7852551399, 284787657, 102083168187] [524030, 12824890, 849290, 7913230] [21099975, 406568175, 62985, 136200338625] [17489115, 8856945, 3263085, 47470455] [791930601, 20655029241, 1511343603, 10823051547] [1130350, 814850, 890650, 1034150] [4911075, 1104675, 24375, 222569919] [223314975, 14958675, 51534225, 64820925] [46035, 290910555, 1795365, 7459245] [13276130, 3189910, 404890, 104595470] [24292125, 37012365, 2208375, 407136015] [13336367715, 827067038985, 3479355, 3170147960429505] [3218185575, 2673249975, 771474825, 11151387225] [187478852, 278860948, 187478852, 278860948] [83823232, 3379072, 1689536, 167646464] [37648611, 455825097, 37648611, 455825097] [14373952, 33669184, 12023072, 40252544] [9703692999, 12847653, 21515949, 5794291503] [29268135, 283188555, 15494895, 534911715] [417658815, 2213595, 1552635, 595457055] [207547515, 6604983, 18711, 73264272795] [288900280214, 577803005234, 2444806, 68278403325496546] [7490181699, 24037958763, 289613961, 621685081017] [44132, 811749532, 8668, 4132917668] [199423336845799935, 110517426322474149, 32505125388962985, 678039345275719779] [165171116, 15122668, 9715948, 257085356] [29240823105, 643323915, 53456715, 351898181505] [24501555, 68983785, 928395, 1820572065] [43603684047, 144324747, 358484049, 17554729941] [438218912, 14695264, 14695264, 438218912] [1465929184, 1778818592, 1496311136, 1742700448] [37350608, 182608, 464, 14699396176] [9672128, 58644928, 64, 8862832033856] [161552, 153902992, 11632, 2137494512] [3225670, 348170, 2030, 553242130] [1064129625, 284911248375, 3779494875, 80217730125] [3725304250, 221392250, 63140750, 13062142750] [6649285005, 20659582845, 8313218595, 16524460755] [16658636175, 4874175, 51574725, 1574358525] [106181595, 1632491055, 229128705, 756520245] [3792782897253, 107967663153, 66069764019, 6197962295511] [9734092875, 18354769875, 164984625, 1082931422625] [13200915, 5510387505, 1015455, 71635037565] [2495740725, 1496737901475, 51611651775, 72376481025] [1948015575, 16877571075, 181575675, 181069250175] [109700110, 2796078490, 124058090, 2472471710] [40338995697, 125334802593, 50433526143, 100248395247] [1194800949005265, 278133991407783, 176282107230285, 1885130386208307] [558538604, 16536172, 8950772, 1031876404] [2932117021657215, 682558388648073, 432607429424835, 4626229078614717] [85018275, 584232340275, 14584725, 3405647056725] [3352402636, 482894852, 3918332, 413149772596] [1951879784, 2121176, 7094968, 583551688] [387129435, 1328564248935, 387129435, 1328564248935] [6779770, 9660970, 132770, 493327970] [574376, 1030476536, 310376, 1906980536] [3506549319, 962616351879, 19589661, 172308326986341] [444470565, 2450352135, 1280895, 850272190845] [6516264645, 2422232235, 18151155, 869581372365] [164312, 5032917464, 3648536, 226657688] [2835286875, 147725083125, 226040625, 1852954482375] [13646144, 559460672, 63394112, 120428864] [13609443375, 307927125, 1447813125, 2894514975] [1951831455, 192836805, 206135895, 1825906845] [39532005513, 14694875559, 110117007, 5275460325681] [14762347630, 714970, 639710, 16499094410] [11223546892155, 150362860635, 111124226655, 15186648924135] [84244776632, 49943384, 1792442056, 2347339048] [5272447750, 138409789250, 318250, 2293034978504750] [4037998790997171, 1511114392771469577, 74539274979758589, 81861248217488103] [1198738035, 5911664715, 102465, 69160565500785] [821556076, 34805615548, 48326828, 591695464316] [1126631008, 1566112, 1968416, 896370656] [14052596656329, 1965749488337943, 14052596656329, 1965749488337943] [41481574875, 4002204184875, 11890125, 13962656621350125] [886626512, 686424016, 464, 1311641661765328] [322335, 1032913382085, 6346665, 52459698915] [5635188195, 1266905341065, 5635188195, 1266905341065] [85728588075, 8271221982075, 24572925, 28856157017456925] [274017084075, 1329525, 1406475, 259025267925] [616930, 171058165630, 839630, 125687402930] [4152900375, 606171301515, 205335, 12259814573140875] [3515777961525, 645044175, 1385801325, 1636477071975] [1059517868409, 15483164697, 371630259, 44142502551147] [164425164057, 4294528929999, 87643447551, 8056833038793] [65188730145, 444043005, 89231835, 324397672935] [92365456, 2108686288, 114896, 1695183213968] [47122130, 331592804170, 530019710, 29480713510] [349255600430, 30336790, 1809614510, 5855000470] [287732276, 1592945677724, 468058084, 979241468236] [1342495148410, 43930, 630230, 93578236310] [428969205, 2504883645, 3122595, 344110570155] [59369927741865, 13347571714028955, 59369927741865, 13347571714028955] [379389341331, 20721740188149, 3911230323, 2010008798250453] [3005828986875, 1876026507073125, 1490092539375, 3784338694475625] [424318866863617341, 59355905234327494947, 424318866863617341, 59355905234327494947] [609967832565, 127821435, 127821435, 609967832565] [1499274756813735, 8892986355, 185016858345, 72063865282365] [1041305309622441171, 145663141813153444557, 1041305309622441171, 145663141813153444557] [24795737276672, 62031620039936, 16675008256, 92241018999384832] [10878295471659, 552493557, 57222459, 105031979825157] [1853902575, 2172916134225, 10733625, 375304225413015] [138717416, 246937443496, 3239512, 10573976597528] [25929816705, 138142356760395, 25929816705, 138142356760395] [100604042055, 586556226377055, 196095661245, 300924186141645] [1474085292821757, 27422238026799, 41923872837, 964193311260279639] [252464306435649, 591037333970391, 2639928753, 56522673359590402503] [4738776617835, 379740894058305, 1927618751565, 933538993713495] [159527797117605, 93253995, 22509585, 660900873772935] [112916981000144, 4820974544, 93250096, 5837740810336816] [6962807289735, 146280789765, 1232055, 826687890819756405] [20322425504, 2077012606048, 432392032, 97619592484256] [2415567375, 6653469878742375, 27075862125, 593587923274125] [112409982370508025, 62705670825, 167819223075, 42002002052047275] [2372831723475, 63563642367192225, 2372831723475, 63563642367192225] [6933488, 488013921866704, 1328, 2547920686066061584] [18995920274435625, 10295699856451875, 426277299375, 458800630316060743125] [2415562056319797, 7801189129660311, 2415562056319797, 7801189129660311] [618315927922990, 76347160834010, 215160180532210, 219402426037190] [474944597826710, 126725307340390, 291610, 206397243336126158925290] [77378875277918175, 28693683608175, 4181244975, 531010495308521951775] [738989026549150, 5940187850, 17843150, 246017863257921850] [119508667081263225, 3095225302172175, 1242563348925, 297696089699426693475] [60852792006544, 997385973644624, 254614192496, 238375247701065136] [848381990574405, 901013147911695, 2307457635, 331275129980462070585] [1666360062012932, 298135070844073364, 1785239945174092, 278282130356159644] [27539519821366436, 4374548954426612, 387880560864316, 310592975764289452] [277830948114734625, 295161807540585375, 277830948114734625, 295161807540585375] [3693134728447228935, 199864165352278635, 417803844393585, 1766679028781940199485] [154218076550569647, 7276895172554931, 184983183, 6066652971213859313591379] [175406, 679203422567418027202, 2444062525586, 48745215922942] [2263319657423916273945, 95231849696865, 405387948643856955, 531688517512175835] [567297132202150610, 379416700216970, 10026310575970, 21467717792281383610] [107988739861639436608, 113870556859456, 8995773991897024, 1366946074197967552] [131386806707199117376, 2118984052729408, 16531904, 16840561628690570137287561152] [34554185610452950, 3148927751149850, 20353386422570, 5345972003286859750] [5465428100906958237170, 5771357687290, 31979870, 986337357984887344543366390] [34727972108410, 643455712053065630, 388810, 57472575348308838395296430]