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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 #1100000009053430328 1,640 digits created 2026-08-07

Value

46711201518061717647333498085577203455330077142959760257163091563895662991194824325187847333983488967391888224996273380805664376597197818432187902204311469093740663429136563888082422126202883129296025370573508144326348260667533698915272762497724776238405614285175832520406308937723389788747343132251094638486985299880797751742898509233517717449078151403057590816031141512911572247186684836608478695263226312500298131281439998801533482041065160735874616129301416780204928797944364468944716665486613076435395153696700443133612806224559276112743599022529630677149793336047215620714039427110690547653117633939832837648441730372363812651916624804163173078975817928522434157638464683344457247208467413099649172085176569801306929953931033468502065498039700253897398405030338299284990937416630887191538742930619682648938877865765348846555596164637896690844192283609094955102842039938324018290372841825552561053430104347494325922564785964447318587477341468562471755207446233161333257233174781527272449207828971050296342327405245870886836276413928251634738143933404122899236749221484094683458831462585851674811200376192671689325769246471367436808046749978141543631147040140652013549944936708944313973615099036243144673501720978163794117968711325299053110129800908987047435827259376663679660936711641746174581330000592091894288938269821954415365301684655005203562628310208888597261173262965367069523369340011453468035551472468976203027219995105313543263155352544267278644785851381782324134549838306472151312337817197361941012411949059459691278705843806552983517093556927027712825561388849219900561683666845088268808037167536635141338602471742719423807
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 2,400-digit prime (183 intermediate primes).

Certified number2,400-digit prime
Certificatedownload
Certificate chainshow step 62 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053430328 --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":1100000009053430328},"decimal":true,"detail":2}}'