Kata

Would it be interesting to add a batch of relatively small random tests that also output N on error, just to give users an idea in which phase of their algorithm their mistake is? Or is the fact this Query is a total black box part of the difficulty level and challenge of this kata?

I don't understand Python, I thought integer precision was infinite:

698119055247942737373149623616118117019566513095661456257350274095685098756063477983242259957969120591773408829420243380792493576774337559143462333590192584413892551501066155597312352504894263922770203466862879024279844135296619832656671710831073567753660810704098296342723363668027324775849174352253474130312894352905519149806994824156361734715060967720285505284843589744663709933234188407344498510804270443362861863104298924076199109455882554489258818027306847716808148041515662957918851262460403370100247551656004146629952786541529740509966496902705513094452371188199142343915960826853605824416387371030628015059402893670790803222188713159591639181740058821989597693098749164225338160043519296450217870006566221896950544460331089966816082299916458678748757076954478433376429942344570816363234582459578828963018426946587894286422967492769189934352550456802793648810310100707946472935957304708820896065305729252362493239289587009855444381476543779685515980112324282434272329383078022065010156672628008216029714419216039668031081651633002654696870243416162007629672149594040354047636584852976664676912626979795175509754220184425749242184389213472785938542804975167582378053124924463641500757789471845548274999355110515596758250863909948493637300273698316515232531499208896899559289105491050799814297989807431359989833797135472962378003624556596720066584308350550475406149321277460505668493197107068670797334630895445020608426732285954571017104579076327124133675517728179886605740672024571355359263699288427239058474303348884537444223249500485004160197873494479949351201104970064737454270763917984405437081864087636708345906328965144955151718463933111743955988107607910504571118377535531346284706457234515306048102668938474078571815414070385612024810700448969042997715020221794687673659983494226665364808999615742664856304136550622457354577938878942984151606776434814181728229633411216455352605859752518867347193810087251674193479713008180862483537330615336440895261086770559650497132894137625846261764320752783785256040385195303394441041545501812635438207851623444295068104887687712728123130276424059488745322382744947914903913602671041888873137212629793756135553325067770678418719005061739349475711640153442228883994416335459321349396996100193746062713348555089101002325644893179136573727405114032885553814763518602266035920381364764309345615133172664129729161713041962435354572196617000478013628956027473428088791606115556645575411604588856165868230626248386427736044912472004750318166429046316315512427210971555289354074856084779203256201456938845142467587106926262400241700113885588372990114720652721651893217578221945354887409293419194374735355103865105667758661452343108391943747184550221613994885765573050911559501826818884159231642437450333836901211045302779828228320746782326144205455807103148403823518632871682764548986831476299816575575463435720776676224399463609587364545219179101974259224565092803366302423434163279318070175548910518930770848702288938136529046238838641051261526539963089752080074983429328907034809250473848616867633417617865051888759595208719016050965453596278168309331257293609075462926755449135037590441992505379578430994997847766889134654677231462496100770920879937150897018065154562383724784912030498816000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 

should equal 

698119055247942737373149623616118117019566513095661456257350274095685098756063477983242259957969120591773408829420243380792493576774337559143462333590192584413892551501066155597312352504894263922770203466862879024279844135296619832656671710831073567753660810704098296342723363668027324775849174352253474130312894352905519149806994824156361734715060967720285505284843589744663709933234188407344498510804270443362861863104298924076199109455882554489258818027306847716808148041515662957918851262460403370100247551656004146629952786541529740509966496902705513094452371188199142343915960826853605824416387371030628015059402893670790803222188713159591639181740058821989597693098749164225338160043519296450217870006566221896950544460331089966816082299916458678748757076954478433376429942344570816363234582459578828963018426946587894286422967492769189934352550456802793648810310100707946472935957304708820896065305729252362493239289587009855444381476543779685515980112324282434272329383078022065010156672628008216029714419216039668031081651633002654696870243416162007629672149594040354047636584852976664676912626979795175509754220184425749242184389213472785938542804975167582378053124924463641500757789471845548274999355110515596758250863909948493637300273698316515232531499208896899559289105491050799814297989807431359989833797135472962378003624556596720066584308350550475406149321277460505668493197107068670797334630895445020608426732285954571017104579076327124133675517728179886605740672024571355359263699288427239058474303348884537444223249500485004160197873494479949351201104970064737454270763917984405437081864087636708345906328965144955151718463933111743955988107607910504571118377535531346284706457234515306048102668938474078571815414070385612024810700448969042997715020221794687673659983494226665364808999615742664856304136550622457354577938878942984151606776434814181728229633411216455352605859752518867347193810087251674193479713008180862483537330615336440895261086770559650497132894137625846261764320752783785256040385195303394441041545501812635438207851623444295068104887687712728123130276424059488745322382744947914903913602671041888873137212629793756135553325067770678418719005061739349475711640153442228883994416335459321349396996100193746062713348555089101002325644893179136573727405114032885553814763518602266035920381364764309345615133172664129729161713041962435354572196617000478013628956027473428088791606115556645575411604588856165868230626248386427736044912472004750318166429046316315512427210971555289354074856084779203256201456938845142467587106926262400241700113885588372990114720652721651893217578221945354887409293419194374735355103865105667758661452343108391943747184550221613994885765573050911559501826818884159231642437450333836901211045302779828228320746782326144205455807103148403823518632871682764548986831476299816575575463435720776676224399463609587364545219179101974259224565092803366302423434163279318070175548910518930770848702288938136529046238838641051261526539963089752080074983429328907034809250473848616867633417617865051888759595208719016050965453596278168309331257293609075462926755449135037590441992505379578430994997847766889134654677231462496100770920879937150897018065154562383724782390302102246753330414141433590808716474896686690211413251309222128273806624178520869486959687365398988375808620363776

Random tests are horrible. No meaningful error output, just one big blob of tests. Split these tests into batches and give some proper error feedback.