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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004815174133 4,428 digits created 2023-10-24

Value

244705786735976175395734048591108703208848927819449454993332352880091328731499265849681719871571235641756381585090236077715567408511581602974373105852287611440105771692852943612367159868407708738181545851910003910895280786116080187237258875394100125433715702444566740914872336435106112668049669682045128120418882030706316452156745896328509282893913619497907375393349268101716714159488813861815204977400135609322089581965050138887618744933614296346847565358129528169882548940990403311223926079487796899201270406381641632754734706296525633460213745653213913340965187209141477511588316251079599350416446347534380624591235117157553646088769834865878566997130275038970539767410280744740776297432426420346061014929489073202690890975720739094280856915064740541955192767018995671092905379230131199712773740767812328028616669612988628202731916544173967760916057542833473638633210082533160694726231749857758477064234998581836273636162286714917267459619599222564809558507632601479331170048431075433163303977613405845077459111881852998650172086926622521886433613292749634147601568656083113928156871699181430992782351424245439099377932164737317789621284031036730548322740136321257396479936783444562794575779281392715325968044870566912715960501393330047935424914866285931464988506885176386562908709163413747155464530305594161737557826770627598447826108287126413503161310741338263200483242456364437025412615451207899221091239973836312890844588481131424046202098747959512242590907571785389811829597244367132552387386889827104519440547032380336417131570650259408000361792330018047279992862723066280243052306462679147849633653725550338078076309009865478002580207382434863291071303501258558369495667825690776387244968221230004508094454496161972303507719195976977880169891080447639335626599122660327675038719603936157525476214951744203632021396695447188228612312791429143159436434157539156860570003162915263387208375239193322324673668412333710205813389870137032655485363525863749735029844858596014972243669636473679716723669257569846290125438703443678266626592374437839799038027136164324035004245121666771167061559814502408055136537203870174879131934772456460139698918594805362652857057533000437006274550566874483659368485158666160003394712710332329860342335484612475937562881656081857147361727521606637642923496251038594943517423096459183969959860577233173027953932494968855587483915885945289256017577632835557491191383326588517449534316263886730991587211805991833550512502326319501362682878924152256225250333565734321556901717216324312564114718630886996330762864577493659004578213058213155324822576899865227065655322216692261087250063358529525598377983610075701674391625449456715483260454658851271203668141271732897650408025741642098196258367196548267776739455619351968458305483913062783602403832800951737868786623749648419785338060749975808845300989610253910599921189586224351527669541787656063240860653712666797679869518104721351526338900464157390779307210418585681416559508367799298977901646892502660928520412794309340302271234255150693135501818747810801395766550462477544212673860981193758043659051460942157920826607268059774698774029316664685482295724121133757322075299036561388587973073146070856116399272326071539035531560445752935964193047452750874669839699544963881087810218522203516025412937610131972344223357210243916810039753640921654998918152171100498755710748756373824199874035400518449271004693117359545527724610171911181996644380265963885100809353362686499082923285609034594764331257849676558188850890188006240145537681867501115298203566655444380947448897847801316143723584691095434453427000200184057256804496063174373149628315996281594434836161539758601090177909783083611206590368529574367649112732919002606218440995592227646570751308478999550979299476996405628672043591439568847630308613429563946519476677250144307758647227315391118558582382196563430590407951970948941314323133940729227941386814593356587836462046634028219388718277001836232038453758973890222648484492007746910460783435940569920164124697411370660113301869235993516192166096561254679251879887460965540458529906034479817400400516186092572286118959138630607465099404614677807169946207566114887426630661279626632720667796950306563714565322113710629050321909841048747418833642181874877195194791315371176341064884294898572022441223301525470253817308256150030175383497247252717442753538181956549933879426467023508218677135819970079543225472146503080157058660090480159013
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 107 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 107 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815174133 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004815174133},"decimal":true,"detail":2}}'