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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 #1100000009074591216 1,832 digits created 2026-08-11

Value

43653614006683508007612317447387199989231134200179906446965130203234567548434954886629542963677353612366326317017272920519679711764211029945019360805639120675768268497967759821828923837383864367296326466161602180478272149550891443000081302573333946819450861295768659008062501504753880974686056230557769490176703505371519863008574589736526369534902966545865169861093452272389115655546780689498740399254164524405277859499464083464876151694360910037692417781651538494993212687259686348472510005165557594530821382665309434859195629363062897065996278211223689508120863993213230611382196299730611717308410077526326840180300124345023368977597388045983349667421752201431190508041986398449030200332930603700795579934048821446377265815663313015260325728169747464075797252680433526245910078909563543931104415643953983113455942968388232642678572507557689583687056428686648235430769260576700368012598896633684293341922901806219444618075573281482886335080604764098417035947509474461901721232416767889793125699114235583311831925258049483502074965562711162359715976331868285659593006404989151354125810526159910396847323821428244346954311813290970885435314390650816340542499158100996025065068682162338247871328980921411330318999962120457381268890228435637682645477608670095985247762925164412776990519399711579742272425109448098785042475655480434386186104128491240500432283886444340536966064467755849461697028900567303526378066825281395311258239940134998655402665271019717152725339481934027720172647514940446859847916388321405984309811025581248183079815335487755892415028666070135122855538517689980393421528407724945910227623805083009145007013821548683063120604955202643563808917323218357999081703308932017044233415905058257533391707260629176132865876781503922902407886006314603313775305510287494369329590934579545219091033125278988043122114047944921
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 2,010-digit prime (149 intermediate primes).

Certified number2,010-digit prime
Certificatedownload
Certificate chainshow step 16 of 149

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009074591216 --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":1100000009074591216},"decimal":true,"detail":2}}'