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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 #1100000004814382216 5,326 digits created 2023-10-24

Value

6764488471760599974716991614144187067715726343806307430964031540246813133739509080754146012849783453332001476356104888741607879091969784386449370180271841659701225851823277886126572659091426803366852423020169070857839808474969333353855379774213179039167344282958518105695992249116851948164762974217309691060637121248600646618264234678640836283989220913887008224409054255748478479188922736770183806374084829540463751069323445296760719221111410943155507659580692305850132123563168938340219443024830828000844798990197033255128363948644998671811671036430544033333719151639773973930171235435921814004836589592377049110951848950753069945332471182174781293889854799311212704366829523703640103125267803996187898561942539393965413094520593160983755766483342963727629569540770946415114134822346516909493503560378632343035176105100309083957077762844310273294889556573883613037400750577557290513141735137529627027890828750135321513923473283326958963760200273479468527787107666544523553565371213967862304631125637755427990085353900725193067375467498836372061672258090634742197470062266613305626290706578879305172264173848474042969219402555997338304906424282328126702727479643664550512205124301756162337199407345915170813655530122077240283451729595948068648747171673456753107729550265096019730831317157663474449227443954766494621235661971741226273424016171326851472570251510025147176187318125577269399525369131161084928132362814430486856966200143374041044805600823909192456012877219625162205090083010129076421875485308444969731238345038724828058351305164859247289092722934245911401439318332688987532980438779518969796374755054723478802014609702166038276640771376134966803597700254445981296357470365302201928321259752387183683571875058944877935727223125672040117620682950002417291088121871721523585583649065096528075348324246884571467127672094755955963685559650604662360697372101645227461725589290581896160392618324641258454954691689444381109333018705511609737215123288409858598744127565079558586777389434801667344843967142067345157790255836816813048728322899691837032262366608720722741974841974169925546469407433472026272461053702714860092689090277672144642780356919125521697020574258951846703347252206071749593777337638248758681190223934628528524002110631365705074525436795479609886947628693300972415393067650483278276410473697007028566557474402317156712344539572323237231416556919878052758395993008785060688957114953688563793709170606493497822076176402789107465948335181522895493447588692710761605923867847511074578146026046142450292635517381645421067212391122677043466850374782043958764571266883708506302489138444488683121626644371098732522216139365461484495370392247865760102295390560931248133539291562552786109450170636543022389501739523360915606288138800521926777186227865732711261147423934766716380050828976851782826008028066348270641264214794590801882768208879033745781056491057363922068992565899754861642284421070642775942077361888369443326022130725899556551016763288577377684947002243615277507862276093912081097329121912429793439968975781013177806191403891699577420338275676448932074750108281012984804920110555874689596497798830449744989559529735095309622036444243501853226705314681393621274732199312793546214847762616720282367028929319510369037535145024839227832884353008135309639776618933226344415821526099367053949961546475317727659326564791655808954376065294472762343505591142361385005788542531893671001590010047412812083777289792573346531944039552809686380589667300315160981405308215049819275564726150575536744723071779764356404858209322850692273815395793186801638105005794137236813031170206926428873583575086226102172999962750454172020428114653864266321168610200063220886909020154511058720052701366552148793753085856655333782629128660174507995135582188175758396343604738426659409314878148478499717548362653452582225486915731275093971726969847527575195043271001417009774413734410089585650518297223372722618459727526500983264854026581571515984623512009458592073031971687733601504937050016873177586307233716706586555901567258035906364668459495095862085412262060221040586527980748652831838711393098200599291355449295567663502397366973053884809189138611130904794887104782175271258302221396960464751100112052100118829493518240937206765318777859704688502710910030385288996578998312484697500758349228177066482410753801952684753738283780334184666215378730252181557379719420557875052564294390690639102436172621418897655575716386627823613339245006029386927857813277231392517930407168238553536619431730092327800737654678683964430867385074125895287793336583720846389708091473048703476378106951076345055266158181785886710065504653745766116771947558086647595155732749331680293760498572923106513330097257985156104475059062133188680634697412065466161771880496832705604409952145984646248491042162466732468255389734456027962425667395619725759687829631790267418636431715894540031583394360476525824310117838892061717798339297425172300232355107089795316018059379712637728549298986489931531749902619464084409305984296957827994015300217524362591275007725910693860475012177110065200077670976856953744268612970784978775264277700012525704057581246506062564408169030459507745425466893021157465831228312130193879181241560635115843431545971752311681914538899173256848378537715694541031802471124263233615806486318245436907006204026011003319882528473926159
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 5,754-digit prime (776 intermediate primes).

Certified number5,754-digit prime
Certificatedownload
Certificate chainshow step 58 of 776

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814382216 --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":1100000004814382216},"decimal":true,"detail":2}}'