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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 #1100000008804967079 4,152 digits created 2026-05-13

Value

662048268095172550498562153491247250266059966694701756372354109660994238826617449306374933804866625629346337233429415696665621936818600970483541664252565117920476533432256213471709573271877031105899985704618227761811739168053099435757537646007842494161480717989273020698755899969351756166547941109137636071668749903881101368738102635596651052154792342101463049220432249556454270808172209847727043934481687511134824929137110373830796168844635761427033528571728309820945348950950385031433823975099770188985232750670628003244684060250897782986127933822579090502979791594420199328069263168388033774416426266067896511589060613362021895651843319183574179449074550198970001585888796217572125634238539619861462620854809480002562641491950164041066535034211739429266326993649452089669350800603818059717581817703869062759994946588334763265916176434415441786273294439435463385040728160052018186164393344125598272355627801700427770800761640168158044836000799306017709659285662591232156104778214471487587546783938396132868539565865917815867680550231209049359885565638576409425803934586764934316466282568015269290942542292018044759474653009691813537320162625767669875226546406796352928595134214727559312786479689700049131963501993774768206015057589049511882239701770003886828223808353434869728056938918124526629668667830990345952149322272648270875506243869814053389699636457131081664155980013403545090198679389898219515695561076481658454804101679588920979491339490724462153147463133620258230175161580275735919488225287885104384556822272890021794687311674217661824497762424316174963271289651478542380416659916582578658618944530911610776695302780096760862664197822785213367992453072054006697731273883312107273147227649252732383224193852318664983820656428442938716828025172193061216884031294261566485415794335793168764650334701432052774833608225135885816223001227900141331436446529879438675997136785344008154706994616642774821832737812236921981140331700669593783065901801279257911526258400400815752892716211492689663645800160453258640908510541641179116227927843667595947977274628240861769586296925280442769404661958714114668818493010148878890997130582625631823423659488181981285550592582086028076895300833744022649300340347141486831587076425615891257165219540343304865705050359223179060759139748830495352918924418187889965976417598941891809626556430932444867915474632761868890872891757658818354151296275157201288790845571585718151487857229515547021988048644504650109091054451141837747033710767328601434431682164922439251678725175533901717500823667917214300524296082938191718918526637772155364970496835939820627086849189272320927372047198595620509051408376988006572245637920023427802933474458848801191191944346984258328474135259505977821169933856214345601878672171448726300946080194260425920522315724278749791127788591614492181696418000450379609815451483215375132691849771554938951969707802249494890456731532241300581736058155027993013770078940911754917424904594152797128414523215579713860912843533627049325188618847997152580613024532481077361821010636588873637135319258058170817162120868871968100336970439006403297538594169401924050488760981987724739938358546662550328082404181997793719870705451021306067678983583318748840461789565406742023426348226562778096689257814976599562381620777753011419351727644775775904233695244181025479349670861899816838498015524479459736847662658837521985334629822392704260935279096580272302505773090227972860894262212618821548683308907241174436225108561955117809551573802646127829459534974602805132824526105555879557079237590638550179210550001812619201100139960671968452826001224238192908021796008628622720772470919558401302642709420618724230928467798409979485203186714479121792085633255849831856584319545880130692900387506957555450008708720792464784808321060782074051192585611942206636251018536096726305830306976468442651528801144442224957633140241313729328985849397436120261068915885146154175517277248360963334058872350744179084447973864952361846784816204732302004895138030063669787992019502982459991600055335015577358196619028849911581880077788744857003429002337440331049677111482324533829933440252924919822548055524793452783486980597163
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 4,980-digit prime (318 intermediate primes).

Certified number4,980-digit prime
Certificatedownload
Certificate chainshow step 56 of 318

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008804967079 --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":1100000008804967079},"decimal":true,"detail":2}}'