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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 #1100000008715664372 3,309 digits created 2026-03-30

Value

551982052871282773465920758516667351970273898643117454965890384112891916592325143608274972505910952664855510727766414503174088969973616313690130990009181455058337626990935207476758704389952797642046799136246564011567735158604301803411696825819374963370041520117915560582917028060791405938140894869956237458386117203335587060104059035203322205901748145310225230933577402118545642101782216545049055635704139192970509919847041286904655232043250554156483952419649884629058810898001724911429541539227844645826730188451478489013693825245199753328158650999214211461952016923251953535983297149627634789664534511240967451822244918077871050357901204183203068389133818407245458799605134331861537747634144554491240603470739876418140526614610666365433144847226698017882681155849053827650493926535901266540258235154662587730910417450062900742622313024363860656220855901198782157257693454640214838523437460421047128400189416007809408652456944315770077846163672563615906319678851243376212862327072661968174496156913299770153708390600261696576554137834670866976018540324998968029434856640240585705639803196310351582940948420478949314297649020524615709452119704009382946542107619332102940459233916150271101269121536473258932098255834559209544739889833504289977446610367994838885537713454768467876958212211133725768711341890085387657525197350367604439530396423969828264038764267467540535497923829217435536820158498944697559880729046262032899567020096614686218963264963954452933926975154248677228175714039863515999401339600338923443437298655277124982682671934276172444106265369938792526899414062148366095050221515604011452158138232944991492044204631365293405749932665788372516440160199906634656970412964920224950750524635800112950748755694719892666775210163354170731921678718538983433190718545280883092875718067091745812255299016971143353352904930631178518029058297396284315061990730493279709740146064604531300907212423714734806340780604461249361570624979447551787538346434313075771536774497944788606042467984647594060696056663172940251382127215986730459064055305443684082690262204526958648148620972046244141101375411541088724230809009483034452587800164497650339552357752968095410262131760537817474766174535566064423469850727223184139395933955102072145421217135357869813096193097059122148213922210526455628226555599079463687606730253249677413962265302601015666634944623611930540741740881957020826798987358959060631129040611616538217038399937488609317566852186244440247785070001875785760562685886977554699872322745818618161864541017220033540289389155265219006113411743074280574323404268966095564086513583174650797433587814178686275606316495055713673164271837203405939726771345379485659558492819170242149132029964239728678531044423167463355384367299170068387243655040456405561129243177226148444646666481931186196630240888016894213749483950104022674862870733794421816123840379087775084093750976891801351188097297095122555174369473435419894825435811091118538129384358577422465128726637166715888790574964535685331016072826322524566609869045547842524114282540301129663537173116066650153856380859462255998923511686801395524559422934301726155420526387298177128022961548376667677313137620203522205350527908605787346623505010771272791744435120558871004463912091397781920938329506031872082918164882390274791851423408835537343816874364219781
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 3,858-digit prime (245 intermediate primes).

Certified number3,858-digit prime
Certificatedownload
Certificate chainshow step 38 of 245

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008715664372 --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":1100000008715664372},"decimal":true,"detail":2}}'