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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 #1100000004863669136 1,919 digits created 2023-10-24

Value

27200167266674767068371860745395077279418843951007231992006138034312375441697851209280507831834877153391764970009146471738412527019147816504653398077040577447003126656897704901600945346149138180596482381427797578790143463503920980011351840560460437979400003040323006263289434565314818185293868770932033737990668700858810988193654376597408696131620161628864037506325297998244265071534219949109999730207146041628212236910803357133146413727132095010639857159695378293062166532502393945665310907876451964116953673183267458142140786789066675247233271802331741146477358971107160936283466428846828301984436185354325999313490257724075081727732815379115425294607245655743237705764506968424147913408272492001154527555238214460159398989838399465380831031122342784675932892306473686588511089531583959121958336821723538776415849112399832918195768801600916436362066520208203506370247486214488012537511134360964959594170007376232173211608332996348694872439340553841963825307284804198223156113870151859900312058747717499056256707197178444424737679362792730127728893126535309606727177950456125319648067174996936744440016653159477356717530231381479483941200290059066354489186038213960932902794807107740659894181421184325579902819030225571249951030718856039035194071541075790582562721298852119467024180370091187589629094227980881742631256061916366392056789343793934098913499365211579633844844419758252167077611583503715884675858863999537401218806827127821459492611889456025960628961911093803567965529945581894192161110075178686181320432254973018743834677658750303300160477700803750548815693861119255249963967724493386948542953260698967325158823659768183084821380429642133011794832432000608928474814321727417626405193060988676519206261084188512883841282031310893534917383960878545745277122270014498814767336969675880610356158394252415564770430406798319315990015408878074308919332802167060527428955884547148998173230708881461035431599667431
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 97 of the certificate chain of a 2,845-digit prime (309 intermediate primes).

Certified number2,845-digit prime
Certificatedownload
Certificate chainshow step 97 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004863669136 --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":1100000004863669136},"decimal":true,"detail":2}}'