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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 #1100000008647888446 5,348 digits created 2026-02-27

Value

75309987099814042968963409086423662963302804035119115395323307550314897383259374693156380668043489069419847602316315111682359836316723568930367836611657308008777665808593758274030803205842742881127876718085815167551422267744886026700773630811224505906080831522605996643096178238975869442134094456440212776076449575856699016696381371760174689022699803330690976699587320818776079465296394852386225930970975765966040217176807218963904019603985512940442927046598954920866153910313801105716211278453825372301971435136413803659952996042572820135925117674603497370675422020871803709285896627958767795500364593995625516565515352975431504073376818536235978379477784089060123699570032736912774530413172083775889594238361111992812045538314018939663556419595520756538109605670158847978023852869920150358155536094192546273463795972624953671741254299592442194758943788618559328059789103758392857709578050084916945965839677406409030428458442388541758721687223352549426030799779309298330010220965187091904139896748250921540494810705410890235290296624023511052535231298225411189732518390260166695408588525792746936693908377275297870566824216880074963207861739000253270060866919378564451741346058490530970858445082085540579209097452293826160638564788889359781081078421980273160278384365259552745350929240686826343614152928629848352518282115102871714434775597064439072376050717107845790632629684570610384454604217382948845126249951079409793960252309302718454468099446487275955487143148439877215028103830912606065834912420905771739565799710984216033412760066806022910026698474319335826106202405712379176169252402951550258037038902098984291964265344719748883775962224206605235264057490076638516468829622620680350108497920182838277308441813285878442938859474399370285562544101596721233162257450168326912722316885645925102566471868049967095293401629682401496665186515474981848290271960340649852507848189719411616183004868049515974343614628120399839514420983969995624733807671089196948411624301148266234615151713373980602687738737894599435802601754961401686704540553686326892002571048905873006092768796413301738998141395626169568884172722364643209719542193500604215643158015843334466170480704787150254931155429488381626422112311410526243866181800454447140534998542163412692302034640286358189655736757506815355108696048665622346724115238495610415722217435653921494323310249503467822418939174567335487448821918663696005613710950480340230553549506489324686122327893850197364198132412846452890234837666704452605596169798297730697416627640503691911484502439778711856778363638199758840715840864816456730184159377330208813965634228853769395141055999096416816415181965601822591393785691246582709141416370821688147417405027426150083246214410690109739084635524844317955626379755151754849697572715692676394186842666127612968822895001780216534750679529984659532150374649308522878657994949051809653188750748266226501825329205273438252656555201634357979598286114087930030722954471633349517190261378570307608153414774436254035617388977544980957018394961991149636141330565864353780396800437857698697287006612801411693656452642046583633351011526374563817512084225801743500220794891858801622590987295572986119457803578939931034621047024496760034390176804081022413136999448727889201179928439797802513799855935139013359775574717117174825510279603696667275135621460897711140486604336903131528658969309207638435591913199450918767350983366437354949664258170441214064378831795689354659184809393016817661048794635402435094433920025474999136708895747642116775031230683882272293667020814053127033505487910066674102701366865115155184215607362562080729222185366759714998413838765858497832095713464519440071210542638133901081557369799316459888312902172357094599225964114581716907975369087249606327318248746090646925123073609791688034606468660380259017000400392627654992662868619414854332426574603418671731707639266127842498062914152588328696031855684926872891366342362938843855780434568383186305904907745313817950024785347493827928124860452262759419449434709438987876502828508093407825285383272463840702431369884960075678476005649117437990485852709225584327380220292483179283837619075665644609138533113105419625027456241681041499276614736556128504204956760072968456658636505189885576876136097091600676252597809680980088096219029046378362313439790500844865817333497360971268208377116010316049652264170165038389137311509163177253094727582404302418619105608536910137838735140675308860163704032690557923929050005054663411415717847287536848216338839341248863615966543544696490102137593212080344562888537659863986481782686188422554713767702349071052233106051657680275341767297073128116676419812912310588738977945337420859808088033666914065285582692065595844896511856154990133619278396237257202149872376471408516796225903052068732838359479072307634310015847767733838145692783588600621161300702348242449882325605122332316732934297308267798162598723350861794427383386745404433508702510589494209826425248999258214881660203879234985252942791925485524287337617329198709135320561617998370172955256712981397519442251540332752133190544146237994116042796767351636676999594174636368993865018412223307740580200754346406342125991210902660313767306121156744304381684491653537490438363171060587549373321172734498897462390211806918659083342915235322826832098655684821164237061564019971984439940691463038120092463611344172089
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 5,688-digit prime (357 intermediate primes).

Certified number5,688-digit prime
Certificatedownload
Certificate chainshow step 24 of 357

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008647888446 --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":1100000008647888446},"decimal":true,"detail":2}}'