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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 #1100000009067938147 2,290 digits created 2026-08-10

Value

3039241376066901528856251180380470796844817312664114265544531382868839977509773745877673246919367933429963799866296664357605418858923142497704338289625587643510712434778294691041749241312421149699629174730576348270153740684106420430430018209453917751463657782429889620166333736235059395191804907591206525047013125272501636238302144339444780156205091174678477659150419359885414530520732794442351873283826762553094022611039641739151511359440261964654591107770367882918811880465523623463081054735075771434433060541424463033607012767958123495611185580476773452721949836772633628737047072912502092026984801894865699328939142874971740809114809040887540743756485352707317984677612814666248506652784649318224549361687970370779105872519277775312925636639625721641881950697751575875913881223179980526218209114588796958927985276209851024037470228960492828801056714150360993760810735874919594091939537690594230266758039730356882061983138979163724672010872880775811022948984695943789071906655620999183451929865618417441348709052704074854458942686904806666229162339577725511475392533433720926831005499760780901631783718355915937441978407252014025591079334805920078784332699476717290939967361367156856753363731796738444953133768607456876870041948338968321645439706347707232531907701983540968305189441986111242206140435331850020624456305049822101040196318484749251443792606419385566716734977795062727263366788036668151265669264066254596235101388505245281124211173131511651733463455058755971797482687412684416622545549081493120429409153272219555434542872398161419854566801661639346873316600052378447759105803501002677303579959840514267755259270872431513084223823666413600805446705365693381689257059611705542829587195853711317049888107403143521594532557329831308670609830668316646992044420674320129794738479919142618735391732956337331317769420544350875051407769061024062924738900791501783720031360905861996779089819616335642787626666649504111847885634860123350980339651466115339402643708126737578630946802445709878572364203927232895685080230675997940854392944224481687143318116613870391559847941422332493808896821647102857399249055408718018774481806848924746173941341071730802037177457413694523865175843244295555277417096635083819040525632804588881004212004096245223406418118385833143011825515399806815350991
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 2,638-digit prime (209 intermediate primes).

Certified number2,638-digit prime
Certificatedownload
Certificate chainshow step 30 of 209

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009067938147 --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":1100000009067938147},"decimal":true,"detail":2}}'