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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 #1100000009127082175 2,646 digits created 2026-09-01

Value

249599760878368435254526563405041211238009899390209992270640883961117691276290019370638222332018267159889020091730393476350855663931378085586845532992270040009518820411371120474954326938779676725506910811942199912449995773800910379426038466087631829411056630874036169119916604791100116652191737585876639883104971539573357664099003301011802256826159276972938096495766981377249140303779516678253696245757170126832440862139389816065232477194527897931280623567034240799487555023625090584264189689546974641454449332235887784195752506155341417944088024741116788289467664736381375246447433160295124787150934377863171824238139734125711084314617079903607873437694100103344057389766954300608877134104778033425893340218307916884619328062664099988519325409134986610326488205902818302966190997001397346106897903649360699090748496124700586719599672673931950159996084027408812072473880033851406674014068793697531702298315985798698631807153694392753800398623770340412991820018081201853363831196784690683074294389725999960210328573663252065177234039621489515316650126645621770450850989062104129553194036467289046834112934524109854650154664339142031905270672124663621566408409728239184476181346145472211970376246150250281096947227375378332154998504716626011576563171035418598344390419459262140980374558287740489478528740685915211812379004585844891416348885064769688032596076637878836684931758909080520859592902289585826751729820603958131790329968505577461323166005011960105045023051929466017265887314386688461804758419847995926060250319494058466732321804492667110980994173391471226136692928151413060919885331164871294684087638821566620016262329963945258890600864767998822948387244072761013283366751882894484462000225867321096650321587862248734043930803570352156651632938028315467274763312837058296871223864991289605884893540758807170047498224647627150964220566549342837585459485919452701199070225737180517531235190781046423331711659624556179449412088524456065682987270494285932191336794862999608239199504060308550597224117991479594472897165962668827436405297060114954959472304789723483634446046539407414126264942307601963059543993210337832705924351918941960830302709235093635510717291172905164986551958270119369978798699325912307117121404735154482015508494814666284352726817655696382246385217399684735190950433559221067678936045677687358216029466632505241658214686457375904011128362031286360303976764219304107603897158574805412037305104191892387086190842278873758646828261860872416040204978591735411446454238726220644611198721587877773930360094196840230815985835147932093892785649465460609005783490797625550960329149637215683716496334522554369914353717707684032297
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 3,127-digit prime (318 intermediate primes).

Certified number3,127-digit prime
Certificatedownload
Certificate chainshow step 47 of 318

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127082175 --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":1100000009127082175},"decimal":true,"detail":2}}'