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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 #1100000009102093322 2,825 digits created 2026-08-22

Value

42668641566670297674983457134904954406048415071334344254954270330104324823898851395731168682636423407606073610964569996163996026376132323304317780157956474374921646695058382827784796100428009530991286339553365180335842551351843863617620420406144444128936653444774031947335332846951353006497104639307857178706547997104499466385363537112278278303021326266714714711945346371640553667599355810641208248110697813904096491096820221544139654707796570118093057414891731171459403091830040584862448833166469289836920579424288904275849955678590550865483003177496946496926808353456179512272413337234046187590065856753542463778262350663958075637424919329814935575201816104243596443274566642128999197637643181362111631613169702212924267878022599339156874236650079766634689736814740787831535408391531400422706587342322303335545672319817578827696728535876370430459684580814102041118047902854013693502411013496829450327254540937117031240592465897938244028895708266558307791887452283578850316096655555383532357137125840980982372583403488303091372068782109584658500042924452017906285714534903333658077531044988998557530801257111081244799705389219700195098067396897604808201388199506359620530281118854063207172441744878927421342837684019784952488237103851180101169850831325972628786317245248212640427843546318189845991657661532749927911977424238564403472059573532994482202821702328755398966662359406215686669492633822761785378048792579567841705747142400656604625876996281643087088579483964581005855633797756669006847938334469654143620722508319513666641634548686664019184042003907401962962933537416017883303379847810945905504717291949829678518001842974696032453826796021344410252709704358517865143798586372154074641988020907418491251072445815003334330547388781183066499028260157509808177913503897024843589262417332843741765092315483884132258153838724428040456605990106647293977684163954702463018297432237189222332236627571060856025880770942851154191907675575068721707707791201340206504491073163115880331250586674266377997153762878113360714982143646408791196435849189700721472046125060905402218189370935036813398722801798479921405632001858556761589008555265291450676301926077872900196821230338120236789308420868577654037845240654672271462744722588329265442584579773908451369892716385127114066995726190280711622140034410606223057264386540078297209198785894997655153790873216227616215190610456048260032280244310982019123101212993071632614393715502177702301555291303829639354502596813543914675744054125454090870392133841178657247352425988670648832809756068584222472491078713512787685196640955223378744888017116531160854889892793446284500241718245550750383376088818414514490846385689331451663433280982088602074220232716060041622245359540870864146097110225666171441538156202014568461551380048994316043364027248786981782546464155887351622827033835385419
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 2,979-digit prime (214 intermediate primes).

Certified number2,979-digit prime
Certificatedownload
Certificate chainshow step 10 of 214

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009102093322 --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":1100000009102093322},"decimal":true,"detail":2}}'