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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 #1100000009053653622 2,168 digits created 2026-08-07

Value

23176751801287615857004671117462731115582155540247992110305136376154571217858878845828245966534373982282306482375172634010707302918039718110318506413012435739512952111269494903202798890648653794841073205073154821170030081198302800716154818525650354265917727214512713313635107196859740954180897514253884615873859074078437905866171261175400864959177098448438635590282732088924634000782726229013194495488622606509936237059881372864089442807697607761325933157960248712589545973781758812780267385539615939652522773592270940128252157387715935184427087757917803656516569504882094843384830452878790514069294831562609775146152889672285076414752000732634562161877320517190294218847188566037419556377921578678978520316171766314514725446740296491499349340565638465192380877711963401723587387529006851408756731593054107111094552518421635620373269480117534751451725319933478556723789645728078767851574702361868200650721095772237075454127428120554463640020478082587417291632348307288500612016909682049106897264339173632902304597648843896135894534100169997184355600882132311275296752211788006450078661138233621949469022105210195426714435272496415626882932894887835667243226201647125363059477157793134476316574781981536507693186085743337802320469940538710842632764521940567460898985455929774381860946747466841615508623758686096220469328732775983511377600170623913310225538502064668316600077918054328369092777602299461542281341197690383031292894476165625856991659128734813462162282175453666669098858533349836031209626027086870212772679204826562370015220429778341426935477931103753899273583486310578854758981027675875083242820170620614000126841050173729558290163648934875330259764065974175476657773432971714192632139882551526373237709907181016014403570214843023595171462172694174308879498951902683245817884932245963032859248226219756824274388675044623018486892088953527287046845241320322276272168996859033303726451114691531113228700482489458687969243309155345824007363463046260371157610374995696363706416710276106255311827933269408643300649947401016837766348294492559984170400254721669594358386521304869368606465604239558499955682691106153303154103681660578091346852465835397999904918983
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 2,205-digit prime (169 intermediate primes).

Certified number2,205-digit prime
Certificatedownload
Certificate chainshow step 4 of 169

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053653622 --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":1100000009053653622},"decimal":true,"detail":2}}'