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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 #1100000004851444219 2,562 digits created 2023-10-24

Value

347249200785671722419108341272329526060711198239787297213565273787068153176473835273244344712113044694401287107386864094236417907179277805274260395003155831044476430105717533293887159065814739143861976634312377649118767816689465759315482262689883811859537706657236307979736437779609155676051881732792614193215988249030990552521045908566249269871014596281822617866962380361788600175373887510436252913719597412008091187090429345188239107889726276836288770684168554690428695562918520126636663138468159652891731352987966695120632060132708449044507472338815022891307172173315062054214997389552538539792971351203097686233822162845680122633230433123513846143076965235401620722841104136017941075927859978251902320513793318036330690631563753893568320534793692902160520932895247283297181900448126628748123280897717112689439762777170521352939288971044062186632275648304163822570778412951026275384870363437198035128674028654058960783317599014011994961925109992151390488308782221312501948769216352199060778896307566769377341062216818959734740500351753164255944525005348462402929338188242312659529384906332862342927454094199334493737604868282342331378306437564749289585564096338143723425476840402211500501090113739732361999327351965832782979122486327113711944015860012944435254459471146082297206495729922956553929173777271797746405908393849040441203308952883628760803310328867230257812679436258801155323246700107348327885660963211636475142606438957453012120976248257268970715777630051412385127471598941027715032649946425591179759094607663229024481946484341593381226835324628120324989975030624791116142122126274829365260064690432394205385076711566268369101715405143612790190564790676678576800766076469963052174409686459920864858545465468370881256586926869850163646125186175861576350646968811988532798710323927099627025979382346943250798291889272467362382291589485180497114710773737454837520944006134349357149570021592941118287691788264254720091984938979882392744147998337695141888905121836258740793799648633562694169372811631112328501549659475523718023764127215243730235013510213402230159156199802040029084372306045347539440172139299619166642547339815077080056903901685126058203966896711317302522581174974205692674586299945538852988049564668654581101058076948869519658706176121986113340832056688668946333292999665449200200345770094372162535219254181358256814744223239544914212074136492339457364452604901206624421390253736014740387722943221012843140005986096925908631103076515611451138518360013320528315623295553347314111196576036834553616688949065089762641440124877517737281689
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 68 of the certificate chain of a 3,182-digit prime (407 intermediate primes).

Certified number3,182-digit prime
Certificatedownload
Certificate chainshow step 68 of 407

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851444219 --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":1100000004851444219},"decimal":true,"detail":2}}'