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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 #1100000009061620160 2,333 digits created 2026-08-09

Value

21606970190645721828599767889641195249254113760144210075194758856871978445658500320211519137595528359266041682126294609569779655630554229007255223580085423088296074096854274173797538626284639541465476053940739720473186980721938425037380130151617133080019667213356170744866266295816731657821936382543330308898687876869282986934453296358948766923080895721816058622091958290542834644536557479608324817678014018495644060892576143950082534268846344187061831894901089180123298745974866519608679206445927613229603971068996091126326826772091187218272463271183036696350770127131526422022552926523133127148329920790745918209806283359288322154503716819015695854613473401171678723652642153793735676725193384038943091678902207721474062572005580898853947111608068978686315868508494690544506065592431221771449716073830380153642779664100241399841290364218980326840922874568720443687341621976357746956647203328573537575699627121375692264844619277857411414975882538659037537121442255174181160997911889784161412840994276773609062167705756029720950655372914749566948242924149347077562665740222528516842131841530398089245252621596077292377760900778434967830243144596829967038569324191489134217534509607745595440808222199480658984997516804361883690569729728250584131719412116136498320342444893920797574080916160079936472693025433611881171786611470712325307372194866634670704973132804773930548854720130405293116852006072765814840559015778211943913945778754236684079505958788191444750132013167572016355665080070472017413411063430935241253424351977715909789830970737481327251678464654686063928864537652048437152074723224811880380613151617797210493930538972686551089463226527468969835510130788525364033979497373494366824490852124976186993954285029620030545262120516088236519004490400299479401792142358174753887796067534962239368045516531489343612420053579055681570152147478197997322983771328855233050131901782181112939451083264683213886173519039201356121074458056401006022052702257084910994259654069072564197885714987294261392220345487785161555397958120076495390076379259484863104355649598959250872823776655334309908949623423449178242001200481941127259960329114534703806834978429515837778203711790457734736312854058251138547464538136790643168640838839673538734294792134471946148531000798064343465234104483355189873798187578452743553134232012399351578905504531
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 2,562-digit prime (190 intermediate primes).

Certified number2,562-digit prime
Certificatedownload
Certificate chainshow step 16 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009061620160 --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":1100000009061620160},"decimal":true,"detail":2}}'