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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 #1100000004817606348 4,635 digits created 2023-10-24

Value

980576918675845170461216925281377770930756285425464056997150434596284559142307173833967926464809712514269834403152000603427733302114424293891145158508267250709870359134163241825211466352413861428716624605812056090579664663699337482571916090605510795556923140971851235312716908788648671651176829684295160242641667813634309666289601567358179264371337356863572116890598271335366287338769474636210864430716991631703298854957062938995817524678126221329163935043138051689251223578273336328251007231783151366848822439390617432880558654205741614230307235231847210625794091921244716771743706193648776861625816002215029801070878151757759900543238405525076520798172740878932931451930636681660645294031090931967817638645630844787422374755188321444239918819893293318625137597202886377639788087469913824817063046243699279105474470204954736159597192310621959701773061161003656044342345138272129471174342072566526912320701242626474381013530331177035746614745098099659400917572434597132045598746498898877893880563421954070024816351120788126466273497389442931883631396905340189451186084580260029951101877576969969275511943864816611335940031150147488845624119789478006041947649508395671680230307248116692350152649157178768334005020186161284779230356111181638268329002249381378557883329495975188901183740348437001171285497471264735367005605463915530187814323925877052307841814405863023317657523426848641154617395938517686285858785817648466573547415776135613149873886300362457356237753985565606962568379931091847001697069796020992083871096677378168044424339953538895026643463913529829285184344091625798268111564718462099997410228098202700410121735115779155683284921106008442261531121649206319718832784963076310372618173480141588985389723127401532672852033331184600266136975363166667455399668252729373300948619227069624934290938224752029705116952384131379927894093999007874219012138663108531461488754569169822558048880581057395109456300603498565080620353629145312419440732577572553818264485705419206119956573787596257129343504738198147834091743399243247114400907789033534514765530514264038705683024620224676030782708467612695751834605803019479835818900106233091127920191329143492561732829389514359810247816737509883400029147555047640822747488747009935926141642256747478790138224317640633016769195326315962944210956650462519083252753326898088236002462837702754594101312113013468243969727573307417900566230107644372968929118993342124825985577137893616702629312873872023066875000180623833738937928096054134316528199936946041172650786464740078443947056877806135197074167153752480982722113965192640272976723369579770459954093578040073497819345035723057751005493640210214188721271296186363304180316089632384300044172312921092321353171400810163556861459743798505802789228821845797053021969262082527878605231272520914638815139124233268372269088132817239497900584778679591118532161308397421349720120786084229583091493558779038214485831143219746782925757277863511988960059242937697343112232251310822623301026677554423079589893701594065265550887271460793430968313903478337489252252269039545660318020341458680646377842564661144767067100025866967465604153284378439120482928110059430587490601536006438854553166105271994264169071346071766473674382109057132742721726901095962051559574350447063143026534992241249205284226406262750253318877866540961243484493183879417957125901212991967008441172749917343774539643269354520159580535095621374400816759058404474660297296280513663396788323676677562311513888949693295813515367027463468580901204380208026880831152600978206049254946885217667186599920901418473551140791917156373293017939791680084354002750220824691760787479077261017085017708226442229005081163613077783265758165502039628255130852826808885506753421486390466655976693595076209588336467859338435101418202788312096982745909393474044757100194277552829727339662391061357113894695043114820216328603149827723324963302261055802204340947909094452545957541776070244896312270696417268476028392568522651849687271467990918493523384924509858884123873157052531630730722773962983113497647139186444465706072813325046425381793870058202082557699281593219067489318130387162850141273446741867755819598822518914755511274407165121806408128403021100125023653614053638160453210696753846468803321116627705717228363674763129315568659868945179307857667975514182387293821989883935177677620458663193052502604493940619639125953087331202733470936086399911455749042448726029533872231653418842627095137257220677529366199348625008055302276010618532416691938998113326449097669116633079391308322353709655772480458119390650495413371867470729518166529369438305784740831935801434789678125257930918856701329731
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 5,184-digit prime (679 intermediate primes).

Certified number5,184-digit prime
Certificatedownload
Certificate chainshow step 69 of 679

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817606348 --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":1100000004817606348},"decimal":true,"detail":2}}'