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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 #1100000008804968759 4,301 digits created 2026-05-13

Value

34981691382439805547838627190436441428524325361820003308709282949538907364636316908098627947785001404792316771997449032329507186292760422067255922861547726449173523694893861086220790947366400940155693119899473941156587696430932416977043516482217622493284163242766458940662168738768234484609436844823505389778175561158099030614886355168729917858142522549551995183962223230690388578702816406467372199406346696329588938795639488864480262152375586940172576379884342364255123024440405165248464090087155623535938900208080059057764860190847208935099261755518870154054318079767600345826631296718935505619409667835173075065533912011342293374892290204889082395283949324909539517812432902832618168773135952778780605651134427513721434067266155949492626023367711576423129772680503794222429555761849204480022675276441350246942579391418080903923245245066222468243406127286509992283079509740922361021989573871307071288745958930492846539030791351579481862411679501309965448988814034387312518933134746872811000881180503883207595188278681054835716456186439861845298075771444906497442542730916602651281535322084221193475768407843144187641402108605254974284941424112470420188292917035111174910496810722668101533715159318580262944968988511628217073215818606338905645870176627019902040648796690156399617760561838291021023863694871888124603285139961550639551348252307267739190616704749367968584178621863895190948437257664981125801854072798058395194076398729653159387408284666086155606056516191838105537835933024172007264741829077519956082698021014631644017395270018013625857325689758844230029173462960786361707478248469473882728786403759388363730987296554170403285888059575326380059375691557450374877333757673798126731600739754605003574917047955011593464386268979786208637796652685589488576484752529484462381886968613713794645342620557494064829096292654958760973526073635400437471320867772211847645676387740732620674837007229888963747154393846351116623302011636044110683635944790171254257772253179179228534873044726485422693622862646908768508484306115103253742074562601103489005445710941884598076332561095796593071706978315251814561662663355627035367144237906382741220842736410887873051479071899783745579696745429657846027946732537588075591565856803190236844153597501479090427354239007414368505186699021984177967993283869412875710294598628999873415165111420982566450854883172816702030225955943924856268591958111421244304426660446247885639468521162899924832677217536518111484720810551861716093481887281157903923556139384172175337301750649864943425048730191696064450555295966167542637658165566341444644521322720963932025050737625102236125819414063263756509922169813357231929472666781228469230009456333607309306346717853245192318102614927789822477169435354562890275016585669768360881789155671582031845893328921234780409181138192864551916068645765835812199194760404236614115477205002660279685698806025902409360546385422992765533461345741866494040577176985774269078297093249018431517162684065775981882737062084788335811616444600411562168744673943799750093495800549399365111366375777021072802789543192420487282989775801065147313823563921840387518319182947593035752093788083980212191256237087632847745774842647548033402162627647923320382137097661667476252004785839385414499376024039302171996259744833521083179745321610311585861917492368671342210684919674773940209219048630499270131190626706392169146731159233239515311463148957962532356179435320402443973968957541550150253585382574810499542599819098520800472828431910571239378270608207574029007553431856015402173660921413810887435157162995202132898580110923690500712863744615145033191809216519080611784826971333835776621192359587619687924805216003035096769579276446874902497398879771472648306231525620301280742530105268978516818235476703393501921769681767642568234530466993712086755246096806604454318097611822243160210327927016307242371902470328775521331588166771056699636389020536834767415157704882158525851741040096719419567825604447281408215436735923824526380970524114030844716319470186732496077697037560205270639534844390287446073244013779317390028182607720615194388382606029114347122750412333355043970405237448068204282209456724424388336882957738353951502615165136339449045554324136712958309982139720251059857806552221731028558942760493618432788850526852626456435950478800378509
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 4,970-digit prime (333 intermediate primes).

Certified number4,970-digit prime
Certificatedownload
Certificate chainshow step 54 of 333

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008804968759 --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":1100000008804968759},"decimal":true,"detail":2}}'