factordbrpc · fdb
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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 #1100000004813708778 5,527 digits created 2023-10-24

Value

2440636373145832563687631646404538098228213684543659571066640726746519269916941722455503361682521327270470641652003175195545235111804831889232236631124241911815754701066240563713868423527730093151234402849152029828587160078653372529558429934869125637226773606858128543615202223789059086365957237339994340672195538032556243295346353991024929301103499634910609673772525363308271213245800284508703544852690377896697644145789485696126826969122213494463307009838200818666020106351621605505381546568480180147432170589080658127285563862321752370016634781007693517810664045558803114233481618291856125049727399112583099023426386754444267166522170824165985690267676791017253544233618496843003815653091747116855133372386926119722753377442540561324981755434621818009966557468852745633020953670098224756714907777262453562300136464614251968074312605510799942234586935746342782279481934986506216884193898974475879094775877242715419268103506636945892080580281153271998504889469269497524139546603352988201713995732912559959379654819884289539043910482348926644643532439833225553007464711455556002486479519498845879411643184140727160439309542886624513720914305004928288540482807242598406388556014324272111773701871331527321446425569734058878310984718834314786676241149304596517150765360936142838309630834704748454708215392856232578925971918628119657583135627405639569915056365757926965420621400107538271268389121817153686987243395951899058886795980616723909561873419194548298782184975708156340008730145358281380674188598052994222934234639342197415922417106067454565239444141481316856909535517800253846198919579266966149378532218238695136696578045007305289100183125714158307881026961038618570569438105852552315332189773695308073369435330171585510047189858335662778847630327530590695898831324450585458712216522581121112109603005269279053725967927372150079912838596297483259174180622906782196882222508920103956691179358527458782364242597843362817864124200911453736858191405052561454009816494451187874965193266100047288041205516550276147171900587906801474743402664621795621488289685701304309180442527871030941956033369766248685419647700671950933129439214345922628596629894687813130848963374718799746399225734866774648486286707468283008104182046627594425254071361235060973467937125506334743953505689794008264038520714630641371526397509711736529436491921251871764505090141659647597069493867739082608337803120504736967339050763469882330152800878713206431626496527919441268323654640667724400869786103516263183844042125148634169864816353210739388116603091900163585849596695909980080734965095858353044011307433829423943827600991390008263797699249351600603861963443472672119456046120386078704284056778222339844816915330979326086250106785785671389912080642968118407364007118178443097350221735570528127327439644829872304220386803240205767893197340336379029397927736978408023805717599697944875191611480683104765291164793258364366455661477617826860476963955860448073812736384170317195868423865317638328447120491612181351359316932247604713858675353623551581851736066764977508631419070765819437017982473301842894568988817607453417390024287028602985218551351646290794585327358205845554335173808508178531327894925628063352725903097396189659766360534234566926452503281351246991389038565456579847903750435796406856932689282005316080542210789710484089440412852675119630184001130744837687023345405276724375050900995240671083215829760544421794742086562377867734835367473324634440642919512200229230295127645649553776430181692610294988674830808448905556554799855917403548475165301467142273973789745610858923384054262263345127103581635718155342985357818637025914051790862438866050358616483112838047637537077908730047055610389300089044493955034932036895698457995177513780305238435178042485552369788050659086471941404628046826613917988686115042378781060276967110389293536803413462092417896866935153217319397990136715049750761737981567128582008379723316814930246923756769907643760345933588789828480703468979636615944134143850483826082061289666802254356226114608518254517269202952445349724423054874194250457787527938432352637097933938709043869508953812756693401335523736396373068148309251682303397592017670771917777548210466728823038263218485160976258945610703677322712452134947816366876577362126816259207994826781415077553233564386301660601106333948909493656084388662686257456149425455617027810730637269739320112360849562896524268204008955042995853326009772259423923058531985457170963289535849274890365897407888557134842538602252578676770321187239236878606538562059346963886552980257930103435955215543636835871580884810558931599218696963119390082681950311928228880818820250644031702945956737288809942536637008077479406523685773013523635156950296920827551045744660502277494000662233015248155834698171225334648100795203487793270540975300366628269263139309618584720329861858041447427359882102529432810341897079371741891210171892352797367559157027135677815826798878912997190331193834443614790831852407429990949577317658510816520039688691457531242961154061495735357951644477847320168169469822224444123434618755616950598296585593990779175576843123321822888655834500619058596776698264840781806001905899602538485722218944964393995724357141642102427238062861430661210819510730192681997041367032108050340226619128159689053104234142651265936758197198539110408440873095209723145624388218737824755160231856945753380065424048152169234414911079592718055189783242778009793300183140459613567315490452594420770521753939963146094738662157711941052740251657343440511463079857259670976760619008221
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 56 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813708778 --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":1100000004813708778},"decimal":true,"detail":2}}'