factordbrpc · fdb
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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 #1100000009122012749 2,736 digits created 2026-08-30

Value

291112776649890879159012488646988262008513304907837117170381492621103079161294286542305920675350706861999046545831495734800002298557363753848688217275729714209296959352509821504155475349022677270482438264428270044490888360042086421243167487650676238160810901934648896602335477474025368440710033314711371520993760653005217879017153024528519714906935395012420494651572819515234855478571365198083198529599800507076621669940925450602043132815113597345514775770464674318348036953351631848278259056157868664268332986534124518145909061502477995325686884642212220560821325977329537647519088434412767250965515994897445472421253668267537761056439351940975195779055568325829287935666335235539040746550474448316997051290333127973336529902587219281364315318568315089429952060363370015289719229382322036419546311491602466249297758280512895223180023931477148141816545343393236617557059093092378308199326081600205884844517564745355479677436556525599920767257184192237712934566662334067293196198304247822900625832383901306243793878281938067019681268257067919906631237605954237994968815142901696832061415877692166570012535689156774045363519016840437193549280893124072129111478700957132485714776701374678575336747649444443558004106604269904077497081095057833477256814024477799060226209503071388057871133792200682785194887000364314922859872887330094765793502261051191922502678019421563405571303987485150069642921758807137314237967815263078718571523719121884280032199751337599116444894585444698347604096401940376927729988355184587974882469294595758318395173605498009991125811373843744270438905043033821938923854460885109348960755014899158971454152445785890753355703653181091242482072858799710223343638312728798401370636299321960001960156301416239615586910916408699620894084224442042495687501249934750896094462488144663715320021988492550172601790361991835284780206755021429838625732809973827237093861986202753720265822295980209723063163860037029972074718044986413810724057762274924306445074220695223157225751271620583499392150829894235561526024005524877475469817240700643443737784927531431633473536796910692970994727782401798668452944048221636813179833090743485268356398387876708330946506801682123084561468632955641882057123694061124171789978458677267786505302588754921525036073407832894359594691958753009252240463675078737175635167513424435611984154781108399750832408874315144688600882165772072634465273361169267357762218336090804152955084990323821604633399690700677435955366383359345027196987193003241574504170576520353057504164702564944115768519319824481377784655058286536535216451919871143225516370208546253980021638976399173428485057414249842168539783278412787324126787746803646944766010257254399979995247635935818054483804281896844805640816619459954437
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 29 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012749 --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":1100000009122012749},"decimal":true,"detail":2}}'