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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 #1100000009102093386 2,396 digits created 2026-08-22

Value

51474941345892029420845889863227722739724377096797674111016100923168012516551205537491787967071135479329041124899894900804050025789556809008927384765992484472992552274423515793672279611796909911359136432611253354893824741413219594756423855312563345749832377007722443092651346955649004832171478682574530795768452571282318937976848010169361509523670473870769231061919364179272132831355794412925617992187152337064423734371055019099813779690650919890819301815285884897108623906323254701655974054705372621802404929848017156551986954280114313908716363826629888418342747779815747531489458972867087239680310574466566560089904684892166933478344977001560772772462453815119122780655212779061670915176320003627076487017310790092717564617517237290286650543548774806586972749949138477951244948397018990424749518546555807904116247746158408299681132036797091827743046563752006999363051242179534853060169367647221800267345133070924934947000335904169017943630321615284428195337574147855394262243442331985979681686862721702305680111609506798422716006817204763521859668006871793045091093159871331832079152210264226150090199771972779181713534587722095311734427248278114841230093381111377319073457669039732663119018484951209183645808951599263410815928430511369415093071061476108510860419103697037549677623954427748340930779765304661805703890554390391085850501501606424036094370566858866863618070961257572843287708812488513325037636253656753029516323575021865765779651346926700639428135656206865726411196808443886613680899323878831488581981548115934813649572754193998975850475182087421907747993176460290824294578375793795646809782846433027882735789697675578283105468469274396527994184184241369001142136640404689653200452988268438956972739250762335882171287281041708321656752805596574625821668427743810855274846669271728080766917346279326696708730493156468320575808825525121995320735921979269234107881409022382614717922193871981200217812191655585642737483553265546874320418667238112029687070658518928380499045205935559254613553323396317294803208741581349033611669624743392380544252759685913856872274323237672491506149948643499426952837584262699749102533862789672188949751796375361427935048345933362198411065493423300196525957777012918716820760979738476287325449104434197055021983507502482775020941075813949235814859884549667104935784720612168714480171336143223706999088469728129278078182782241332184269533873484955311791
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 2,979-digit prime (214 intermediate primes).

Certified number2,979-digit prime
Certificatedownload
Certificate chainshow step 43 of 214

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009102093386 --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":1100000009102093386},"decimal":true,"detail":2}}'