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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 #1100000009115726534 2,292 digits created 2026-08-28

Value

461575951840735456025553671223953350274609587425263270040580241223670174185293965655528076409475422180456173825930927880318865721253851857769442217279581913541309168095342337657840683862196061861305379917416277295057790568772767105096784292955975021024958122362941288972067700380587368518152147944625624010462026734342054977169448134057983834806158266852852173457787316715373446544419012303994156136524403130255245570434836013329420514270908290318975559475025814581081773516982052416340229653721621318702976711365437845746905455420933814070329261742883422378888641797652579953399866118674531287658497411079002701641803652719419733493556914676912030438337845216878470790177450644641201300644822587383945874897778107622643334071403962170322713149484764332213777262881173687353356007249345751400512286440250254512166817239710611671526558991780280083933460476407044195291876446191575004209833666869077073688453746898309235013152043202960595421760151808452610700793870063560168948226164561988181448164649423135324536305403040460535919814943917887442457378746252210268136019842788928089191082027617646687766497269853003697600712833351977551341319608367119549461509683294499308517656407568862734402799485474181004170809142184093417814058191684621522721550480355439637462472351974474438837613131484487733388876507774807170463172104390149899007150291609247220672125785414639101840156075406186188727325573439966581894675795135026653280514220630011771901996227730757249766513156485249622726104568263950401562228556702159590840227757123779392307387193317082556934062052603266131838680175175867256190168857224779885669585635487276970189392101231445394764630151737546971345497861081633415645400355403682528028399061075281559904081151226786309175607981536820932789559810571479468010481350169426895366315524461491568890400534560296487815085131445464099646487679904608980919614458596759758920552252924565553543699936565717211545131617560373561999166292808557017891190972516265805579138093858784223854999933203033470997531868676834079930901596345098303577202687160092694840687892621717320508206733510405551156926164404049536995461427497190636778784028746439928566330724285659635058458929965381733590897449433467021143748927263121231270298037119579416287313575101389397597305393299669833560988398629835699074139
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 3,052-digit prime (309 intermediate primes).

Certified number3,052-digit prime
Certificatedownload
Certificate chainshow step 71 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009115726534 --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":1100000009115726534},"decimal":true,"detail":2}}'