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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 #1100000009104460193 2,904 digits created 2026-08-23

Value

378617407999640455414907777170904067666266374019087219812820976245711088292355386034697998948753724464994896699891897489430885453573609774715259148990492874881749628561200350079838580679493763901622065869785688123541210510586316279166710055177204197525186474499545172581600656068132737994813697344067495033385638971822651464859240655596828206775910575818999103418184290546913188577578763725918551560391842218047289958089439839163225846447730137278789107861527417345287149574592856757114364260620228036727074059769769109398384330742506469823746596068375817228376483495500184565762381718420319695229825421184246723473919379804634205718884068730274774827421780871905666398264282774098209156142051322470164344624431745342224344096800113197539245019586703339674183331824734963453992606023305902651623191644909186613893953754469026120011611569849517939912669575807984781867647904643381683818234297523044031959357868079262837837535344586412152480030768816430341704796562869682853929084845161947266872262412279847362148145223666650015897206198148987832866833393334574583391585187595723007483705251173302134086209511632760918026955638159995992620512337290073237739561657693431827517179094541853380800552312057703728773864917879997314490923492446389032514556838306676140702076335650815053148028386574292321036693848531689274995049667491385734891599257250249498056137152954294985825893729191536872044873983708597673091715337396573258589966979262781625746227914950719009387096627452748390879245520017256747496622736539895252410915446578720677235732256925092104959903138067035130794908379139648421359159724052677878389438937425273265196692038892155390517377498103233272053851933026983184449756968029182488630477876174541485199188740463318241836108268599076493239691688454333774880729303192969209449171189772729400415117975724319738826930007484205756637608952924555035838186369841895673715681677067550273958759834913901622458749136213322583257634819360877162026116647077230520280433842815814636512470451811263802996504352584536701632444790896524699230901183295062247581400894712989183690038462906426767537554342013201996199931277584391047337070829082665348788202138206515008341832194282149017525608296017849188018905200665252231520617223382664941818452195008143615531789788208919732093789785339538262017129836516420104538119459133981717374024194990793317727863063977619944794698061517323162342944507315638582785743754525157685990957995757362760598890688401195721702367787522265442259876619412141972950448284125751668952937945076521328841394625797168319358924554659023834223691782910806634088106884468829144771879692739451196201298233473674653861502742816640243055805176104081522365412106467461662599725877331957564212548415981478070937838813141282752813602949095828061208107790069086264393829128766921819698467398726128796140450149479478349930388858594341538137185033643378225214825498115360361403868006955575254575717
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,989-digit prime (210 intermediate primes).

Certified number2,989-digit prime
Certificatedownload
Certificate chainshow step 7 of 210

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009104460193 --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":1100000009104460193},"decimal":true,"detail":2}}'