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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 #1100000005814643361 3,931 digits created 2024-01-27

Value

3859434491399340489210612486124475901807226000094954752356505488439355966893899395220817120750855232160425961419466981455100585583140135010356090715269169452064387557073214490229441688698068462592665271644398748394587886121776700112593180618470197445008201769095210749735511703600256142157256778979730685524085105534199384500709721986802772330760318511119632075121867422478694718540336876682313626524152434269517022348374986408699616481255041861640388332420253101491628526946423086472463995132550912161123367548683365331822140082465820186687448348346534932408455929634132894465348855386623985777825564916111961263147054505726830463707012534441814488276241825435883169041930646152436136451281245937384733798332866315093729948716019839845932965461605705268309270549106973239054767075876786946882982746596074299319473007509919162890411265495688001678128356111964721490076066157635488503558460622062833012323784348240966067798703821177281125687269917942392761741290113469570360345556672517774926642252298851208232866567561941284805138118500598741002674081068399848103948108527410760827360858361463286184239612361644196898474223850898038393349610398164936137628575504174247986690653003139262045326637180903979213228651595521683069896502748080142029928085199257818954576869906481039193650789138637965616864241721685623912174360721856243103507763501681267582060756276980193070500033756090371766952617073845130774687933450812230432976319717592885606146042059125604716725136046583053130211709908511645739739461556379126789177993951831868138351301467043659749488100225309297134408970446422015403978151863904913890143494767842464368630886961257994288614583369505241009838749111592259794113934335193243952362437194280893186440535969111506204889884515850810025410922714424939193991015139283342471100818126385063944136515766549043604744841514920097900788436402063487065120184309963527330696883666751724199288474153474202506683972718513433779032076584476592896411468219864471619073651691340046132466582260487481610631020243815709205491387702014166182285560385711720628377529671165475360596207982365785465913937098273804247650542214587853412116466996282894421915169822854627633125907728747932925802573187038074077408994632492483808231675269826118061705856503733366858511036607384700439424006811288754732514731344644339568696507070742209303158285453202221956764996004718138588669684411797937122358010409634607688052073592158149236273826223842836108746727452096704168187626452523198832704420581492919213148044428506736868090911594722053720433674911396451271312549102992931005344123920937588141524982303747990985328329045440471533939412443873893377397343321958586456595453897259536468768584218185029088657722197023156114973905515898690509240093554943995960401801711155207260767476620769055343736323453606274036269625682253255580981037635623863853037799191654218024229603810494499111960886821488970610460029140394701723282169401735601237452336981040699193574148770816050429792342605777786408402267394594583466689166611148697311243116758903532081974140380878005840985707517034182988884656966533889432633906997017339263274873356926336948610931765258844555817917203014701422889650884652860913116327629027865758399825686179389762369097086615797948268854205327997636140965911622401277722480561558100189386785927579448955470595635637191860263817783013375706552875028584923421117164014000269770800642707045414925609548161690677359053388770794881059235835767559303216773448534723145907859136792979859578390265142546739036921209597529850534531043876808582174270434598077285906476470266334521609826213200017753008743215480013450296756098649432097060549509793520175065111146189966464748617819961877846124258090900182965321182983908408241086417757843157404397642125666298330107316533369049106256107338644746898077453261148543612032886943202481578480124121308528760707807364805086952026394796649012759529800378602049517078702753835083191916910163787307950938532861
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 4,367-digit prime (247 intermediate primes).

Certified number4,367-digit prime
Certificatedownload
Certificate chainshow step 36 of 247

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814643361 --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":1100000005814643361},"decimal":true,"detail":2}}'