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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 #1100000009117856182 2,478 digits created 2026-08-28

Value

384747908200158520835447715350496341966914513700505783146686109096363726177773661514723033859816965695754829620113868042377652301961202520422905221300746935673387977746193524557303624237308051352961595886088359517160859723622859203571203411544801615919867186780581033863458315379700731623700502354160957701352441389798209265750760041818199626515143414569177867545730258974853427607382660620313652464677846739678551503369273836014437176165797623305545020523774204675671630412713332107323134040549356555722400593372084308352983825330064332652830068654326036410125733330181875625042905778159979170484700536589253701778937787507703803687345628545521403483524151960151503627808091028863354314066430669522777545729629380591975866867270063725152511146737760262226978498882283388090288457033812029651128116856092662851859158752871661470467340005803466233049687505155741924691692337364067246727867766750303549332052179199900855212794693810873272679189898637695073513573395058266530024890101873307692019965912324018900399470959689141306434525588785879609743903013422986251962157432979627303903297288996478462863568534562903530083602121836776065097468389006082533694512363387766335533324597486931612678869118028086690224979598161509800733215211355715761218002868493547294093878300510834141933552318711933615362536155947708102929201187433546882487462473906345337427677187477084956506543338772508755817903389454228966672432712314053893219469948814932738962950086446973036111719365219704473188806410016147452744409288984325026972931708008638614264219260050461757336723881484060696602128209569574052930949453324052722600892444882263254463848190225745904529792140107047964985630186850605243925755053719225430174537251198043591197562255051414862977126070044179384302753271870735186513245678987009964278398262158034300701265154158635101814136013306108055163302580296461904791835604293814311911457486739326524699326601879597731712822250054044666659230622716935906954693075524843102616964634822782764716827122401419111173552727530040235273478344174950699250112211949759603603840312374063620984185013746671952187358699885838702135086537996706996158914463021414460792495192053995819907878677823347721506189868501888254009721066394908223291795478112717429009803610338505748379718908626016370563881945401228239813351968958758914927415074721222537500664707897572339785030473855774212767190429337626284331516267435863393077164146484605847481978885994308553677588373394164367586532142366768231722314998497
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 3,049-digit prime (315 intermediate primes).

Certified number3,049-digit prime
Certificatedownload
Certificate chainshow step 62 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009117856182 --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":1100000009117856182},"decimal":true,"detail":2}}'