factordbrpc · fdb
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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 #1100000009079331021 1,643 digits created 2026-08-12

Value

13011729183761437214773856718892766308651778939000193092370780048638148520446729431262711320816722723807531387436251117929502894572700146264304774715039835790797082851064699767101505651019293594789384422455621680313206158749582560781106333855862464080606127622446012295596454809733110916405367984810853707475105131848639079123383975622280923585345225459106149585492149086979143321823733118367911126757253194617899299043258167765889146559809523198761138852278460296819287523684000773006524510785958886123907179844997499282042253611802657277138009678277417034578557476885752465706864410255580725069309462857678964835829452655619348960606661895713042986852399839156511450787032666345066437827601966774204765649163690282215041507398392129394070286194003261603333834667245862211268240736094714905904859166850485597414813919333732052688126006650092078206819315452326634089089339176397598309826008066519753517068797652122620725154271261916566210273724999919801352457693440533780112959771005636554488766145103376231143335691484294004854741748601451011660961267482286646773695230804076017119186104796270472454814980540910267287303496355890404574262703354782652609290261677906160793921879780759121966241814717787120167280762211197941217257458919629896226826115576367859728411304512610503364392285938186866414448915672786817648264327692310437831389708769654818141892695100107289679880056379793671388708553866896301853145000112352980664745247949689180867030995514147938615683566505632260034946677872773239139222387525984888603803011846098329158724561274145183848413855685839124420101372308440777509472145978291495966766165320551035802777947053609917340617
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 2,046-digit prime (157 intermediate primes).

Certified number2,046-digit prime
Certificatedownload
Certificate chainshow step 30 of 157

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079331021 --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":1100000009079331021},"decimal":true,"detail":2}}'