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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 #1100000008648834596 5,648 digits created 2026-02-28

Value

24243111226645822971020786486104729605715273307312160870427301878955443003419300880941237959890959863577069191604692555465028416164491902328367616685870321011180732915837571341095226384179719842685507348040507062015784570573815811802768502816752438598855067422089371445086096297011381748649412412009726296577224175891637465883127489452128857748307091872477931418199315554290465897154814347917769073543628833875964595476974750309598318939448090532566973764426197091106573767106994835789481328640000692613942097844247054607583641537436116241878910327401549371024577114282128310497247540862149703080622831469558015234862792156510084545759383705515067302160136463069070953224754560474681417330531288994215489416974078146271836907368606908400073622499643734087666671574498042471346108568099964139680109565053495290770453314700139566538668095555006521575850549566053222608453521979378847272882718600230041308495995434660215069236970913569132440286780876609402867472592905977741059190882518626624870254079806505955817360097319081418497260917357374271954064190127562438303553615054061610247443287010481943954725373271074999458296977460298878998741172530551406822112158281635719119642486115386227711332607987214044059408880186049090899211234219919361248115318717558232242108204793551729575748023187296887352163037752251210149059789621868852862912024580759323453373502797212950315845071447983637702176575470680934380564191039172498829705459615803445385760727728342769055428740116559836325918375080860836788099055513110718530358405067560537680636124560197929517490696054599517545695390450558957664007967058153985755071863795734005417854919556346242420657937786535925833208714116920974791349528903931130526181776451241349476968651993975373971880704945102616077364137092180520882649591160885933254766213170955907295764382994459779131910694499639657101781730364954274380219580257267253695051549677423508866085864032399404274297857415389223493183204331227860570139853497165768433461271340714871361884076646137478574500477686136220129928066494726137191775289573088857001638061416088554058461957749226966398036948638093760747323193400074727260577442200526047938370066387587220031710188200109161411322466803494784152986015571167793517620098785686905224503631419189692053147602523180549585975220669211627992639430033294941094956608802087483458789567521890779868417747879684903251935615445985071937949864406174903206706447100154083209103508684152720148426911754888088047625780603202227478908006154990072850374977376856884893694686142001566330048487472721864894534887834742499316796929376662777718770845653836575473560915883491079268145291753321905537834470001384876463055570294176928909363751079886688974780413253210879253485250308221223448871358856626536412579395556874956863378212385943467412156174845688172493050014632330173571745127585755530933703352528885699371393274922900583321964688063993000119784137232348566506539922483429597348395450731852530166528203850821738253310661918143265918724097264342567480650469711537994116407432463704109764128298942760272096122382718533856516321640410045295471517676360510329739849559213714821566514928973800188789475050394611226707054761668176486221486123532919072119093117794011332670848671511721959388463063637587714565408216158482043498420647857051425023127298846899760124754864781088466981788537838067110383045411057724868702396119746742940547020997908401633224672916247899379575155708528935191975656017898785844758895041934674098753099260482125385214898288677494143305784903162354991717205089542313330804579349587448411056702016089302885110423570032134028969739677576056033945089838780812370014577973068215531443121741253391874063200385335542800436562364647343047294176498456494304112048877581235003789653920856202047524777386742621295535696808527338920840570817574669909216761516526788889740182997694895390602923860836523777150729936607941713572422835914501015741846404987974492905556599006561596600209629230364172941309048120536580182590037336236482487615701994529229381743717998549556620307629845725393913582219450478078457793609554071716316230456439193204123819067313691704592602488176102834316307921408852612553976669459969245822420303996354149283510760788393296029907249471620796539620614734205240329677615702060377575411053399542620897416291318357126878227175643885122067410679121956627224857765348882006187956440119258158007808829249354686111095450901674225387385085438054125664115369657109355100269385354176939844001292024981048440031400970645054301832747265484314838858666189654778285590447313810348122324994129961702698770344022336901765395614723693886310268324045147322093881072258336781811182212364905081775606483548382230235950353190940197520457680335219767245269513302882361511110630499291211192304179544500895759319384350721553712403115403444733215726732378414581350170431495585369321847103209714838620148647556701522741056478150758973275071795877855603829427715126493577412976806432545135082251920116467600810891680700701284661093106580565896480664582409993251633344038398389978867503319298641707625901778709460922852031390096013126863236597763992832344592178587216113534502011011218409615727134578883283650601008098535307013338886861472031335637592657688321681191373473562167642453075846992440797378670246464735931512643100279888778097796840383165829318072277072896285024478865350084994238656640384468704867772829749679853706348122416513022374962227861520371010332271613958611546817658531833606063289492521495517625756919855368168875057327907855739866350451770352443622180172049914986469396079190622595173094409933726642457090801358622958869193084678297352886003079808050214261552872982819899218603949063
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 5,991-digit prime (388 intermediate primes).

Certified number5,991-digit prime
Certificatedownload
Certificate chainshow step 27 of 388

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008648834596 --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":1100000008648834596},"decimal":true,"detail":2}}'