factordbrpc · fdb
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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 #1100000004814906555 5,116 digits created 2023-10-24

Value

1727225238820420416470963488120761074667322901852121160236648417515166031484137683644696132391028770063413597439003387242969652953805223892442460685005145004082702821953122923509576307579973559881572395354044482879535915221481215247355649889313464795116466236254276719535865755315684512295717964897488703324090740958442483421518028920757742461880170329185553146017253364856274708119208382784561091198764864471589871148441433358326796863218636884635934664273809648532282310824562663185541487884104863470071785321893571677832152713214637938199033328195623476801885708082561592557866250119390375971585830006186024512454880752847449448178619406792330396092205151351628449916599665254598465414441771039094864660719506598243812457841099831355920582123582785268784683279094531366630956792618755326870464602986897972675975944637908247663368027487892767408761193809720171649091154954726125446869889952193572584967178736057364753181583715630616943157004408635863011460345620498948413975423472238341512779038848181956028159395321497254106810733628133419285008081200856456394905075043793830495884257350535352831666515342947005806746099116893464255842451942948452185337306607271795081512444376135054609318446551370428910918983370447915321060132635863942991689864460383737342079151490171933830993141365728384920759645770526967252148203369559938018294104830550630732171677951155294467929926720157559015509803390777597883044379607106182652998756283160859994053487206677132254762184198284900667713980884511260279789876108048320343524823430030222476177221343043654654611212452507771822843084225280103258135537815311205022933150094799151158704698258098725763837311505419986969966896595345886376344130548894946823506034628177341073574374242405214805532562018279867711348262570254889551639112859636417636950666424863071622325138515168566683007118448539739897515205221435942855457821910706505997053134957035500614537870426193838040695662888493389672518563129934686793213953100651058239245098951655133026238492136541200486872373199281380299411493349618775154682324677981978236617221619788880830426748931465779842874855312073549516918617849268287431556586660778511471814094301887308622748888366649272783054767997209841530767811327170895613001682148829971207471886941301766568369655075465953530217891369998492318174917617109411755411486628254285001974361527739958695968836737068072184229360483336373845438849042922505755316719380181057707812420082448107151097157960459090685543104132077365765055006366544967913444562879243809216834433821846578816374107070019254799536405447109127243199079712243621287792515873695695681367999199715921039253036372491736536989189665864735228809945119643511178528786177236125349876395189744762198007748985015162662408964777575240125360013981758449985062332259910963473155813483953503891809047920163724402448142550915032932702843800545488471120296167957512740655091147525939445721737027336632800763142990530415507513358477458924380726340333625372431570651462568245213358014684775775063492026385366279174846945727594518023012695121995382685732513775110686405995045102331898655249896937273445137635055399940594377936600020976751890141406823552618488049640244601970061677736421575109283539077745381237498901715439961485296220628241239443840675712453814974347407762532353596337760597421604499821936390089366357284108179296757158783618217488899415792226930810901438854636820350701396924232687667518086467343546754618460782535805681248137579418683703600791291619565765064033946426318067172194860589995019865009073617161005583192394198119880719342298861016957326896846619543622758518026671283017524790505123379117889477753237396781214152576919590546350309253281227599301819562469542306365550265744532611591680291705642324757117275699460082639456674751803026244179376033165683615173589556290021441178036805862905200854034247153724005500468789859222413579201034623733491955409747927734713068904539758025856405234582649983519087922044353013198965201338721864401202225317014300552175569652358748583489212357232000926476144945176700236461154800674958152313111712883465987784398152091640424147649964173480114317034961957758575403130963023183441856653512132712016710114041461512708566878163999346565882960792773808753886206961329238113958510080084524205951112000343151172587193434442515621823292585009439760214834796112304737649485695339977173926974445709920885653267545319103117788850333373728659876418468844814134236904385605768276949471845292620902831377805522378311405529076540701363379768899983790102006262934156362358935507960494382065560698165458065573988668328694683712591507956276859594282915988985770835207347249028838785376439867029720671186062834494882089085300815345892881455878623619927207393555390233876554946594345577244807129928855194915480399363189785950454809598965839743039461590786520812777855656359533215603255797860011588784632326328666554622027688432906356746657428321332661525649396802417769432418038940959914029009898101721538147745717005719925514607732480745390175074485908430055903818780252979433976266399787736751901343720899133508030671226525451839350066989621142764502693210727219115463237866081
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 5,541-digit prime (567 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 36 of 567

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814906555 --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":1100000004814906555},"decimal":true,"detail":2}}'