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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 #1100000004824082382 3,734 digits created 2023-10-24

Value

12195618075674728235770074544789818156520249858693113231091967095463619549566964701654704039959597834248509501757669193460883931941817888881693405588481526258673822515871336062054340813612010649270326752361205129435533903290761751642121838795940048378179575372929201464725048284420180332802143355557506030693788540657911692011751063125574322156194801532779068634625114223866586452550293084556514686580182592654892497659318309995893850453098850726474498588130309975849845216541487637089703305275913623757327274227916342088457582234170943312829974236739259972362581423890301970249622760025713096465503995600531038301547442033755765105591101968714190778441045496390193927077233981966258394077603881016854775045796184836597040846956408748396505504828190923843933771657333504555236238371976207344945246160153081598105236950505369463546508180238766249410548188874241691595338854670246010691409819983132495370799984040586385975578196125716890046897552699674008263956811037496872638485721961022588155167894110722536601485834159545060148687021990722244111305730910142482552014221771152574440778296398052549579783304290290788366112991045830366927165047506254279491493826920487262145264555993014319261100118491797698976806570242751778979399241897743189156213207015041491043762697801297744548451815977802608187412410815706343499631759386419709709785561777504300966090779485940773928147092118800921587503010354162384219648909240914622342967365300870808941928194536905572009389864400395238375929927738115111623466973443818232471404180021436277832936231711242892190333729557458618827173072002022155081929246853556793399006192208086035749098591510002120365101934910328552386930728707348247653167922964250503095335800549600792879418808384430309871053172431970987620172317535210217875755065235208433426782521446667577917598692051865325961884807088910679949375129383858320393206881380440231768221432868116547401097193547596719586708729044998810378585030861156530100552680926372677900514813272623353527321846284677298709150582005542559505285067012494899284793614799596944473176406622844365076209131903222558357188784802673511689823476319085366286578235642739837826731322042067967867021611251551216429982202055557164201482984000729585811377039389460736403200754275651607895592220559436034172726943853389608790104648661931598445861558793616842109459128789347704348551819212059304025904189633998914861835116770294308487144984326467264460658760434578301978530576174854540950009175303765057531216300313077394917491284107935129088695318988215301002383847026377743169500682182723376159653708079752240969172369038346797681391998559143098690537020959266164970820630131222397789475420648332043252260097279878336291026097419917762481458367996331941492250295329953712784203882091757290083064477730401681070508861435465670302734078045908873532017518693318841567459649473376818421357654799416066208498226168216941164059000053604262448126668699495725811511204958427819074277380083943186882957506777324385017376474841102716500179777086807842495952376377247781656449060244867967325273607268163983787593573225328512114284532253452259006431575417058390314627824212818881276164831144174137800390157504132795927898233969210044554696800393436072238131384121202441491075898125871629981458303251837297267367312249656798959245962971615336574548183105832566636159350776991226673416314152641555023651559489842928759003697827010564353282656092247601319365848681955104320228023293499666970593053642364501052473471847165363441091144848386499297954501560395240419074581026767407332884669139813843250902934137376688279078403205378359023706513271703244218396751252321728074409593835586173922164168395631159510865012344286587168137255645904912395971127816099403589034999342952116839293163
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 74 of the certificate chain of a 4,478-digit prime (472 intermediate primes).

Certified number4,478-digit prime
Certificatedownload
Certificate chainshow step 74 of 472

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004824082382 --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":1100000004824082382},"decimal":true,"detail":2}}'