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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 #1100000009079612317 1,651 digits created 2026-08-12

Value

1509370509689105089029063266543348765090755143318133411475412166738377290872673527739764185291212179175477354997370021476607095903346543033498665453895986250495895789480146019600874680993765320827235808779405819672077625826050273082406643218731532442465539424682896673053234236910351693190189583913445836399250317600083242201065359927816719266886474271239560521730558306145110032954314813384799868757137066781786942484795355767808516497923008125225687794725160838291087439674130028497120778771784849516502536795702155831869338844212098000464364182240027972015535339074963300302414364749849557093696226254330320734400665169588786013555048793644759962108884973313572880651252149016203552772593493416295884561193181088743123674871141442940347630599816372762648520805699579130659276327513225309329027498156726695158376314403662978274165637159310436376730940405362054025858321336621419700219512333143919252867568919292412495467190783681894138618579109743748516101612117958166148204915874781347532479556783118766519042559906045966840417261513091630576529629517506613754584585333640672044032902445268619183119158222586180658816178662071796976579521145055348498763539002269604707877089611675371159091620673451117968639555716324987757481873068909096496462990285143265372870173773657510981118549836432086130529545160600521703944758769172973868850843539347494748566672409860910315387202723163817024498541638135052142647787715384597376981562778849807820608694343097918455314091911732857239331380776268595517263278779415832114006655238069939036750293258787078656252779076387991867602525973252649357331686099257138335133184780225548298132759628305902325388583319563
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 2,162-digit prime (165 intermediate primes).

Certified number2,162-digit prime
Certificatedownload
Certificate chainshow step 41 of 165

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079612317 --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":1100000009079612317},"decimal":true,"detail":2}}'