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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 #1100000009054270306 2,027 digits created 2026-08-07

Value

30675316721793441701076052243569719525530097421341355272147959752899240333336051667657902202438083510920189280413876647371069425167196799135423140045728804691261254598889039176801506292421485289244809363506971427525991963923641718902839637342687369589195010429062708579697753823011516320967659845397459286689879553190936194948758143789876877221845486888847883836321735701016853387098618895507347003780803292181296438170525818118578507669874418436673298204419611251773876293797094536856400347774436404587303713111757054555173661265044966027053777517259601029747020607369280627001338600201683062144767268327847774879738889099442627020031091133520759347203872745931809701000254740281609333952129768364101884643701456290280352937870066678456907725865902821283473213036920728146844752530649218125905020620493134854732694353175631227992590416291770512627626688893579944328032689950886486267982385012555963988517215942691262494561604965524502006881512377701907785297047376250838136524465473262158234551200774246489946928833371476949540814626361104688002412236151693760502364131845490992872661610155975242314272190571668425689112959699218856758318199755173527964293029814730401929532867564022929000635859177994955988185880899656917421261367940312406438676908948352631141102586313094097166621831063980612235937670556769684824062100291570341692626435533174060789103108422951880663714081643578651971089710064979032529533236832742738109647038362995256286293710432815571415352682742167957518660574870238465884103378851903951947172619276486689488135600251195147333077113669415904269950551095283900285453861374597838539702130160392608207077792933734340510381058785030586332185052403771850145845422512516187079425753024744180227235375299208405911699711936415643029692351308090040231881496354277921367827933579455131644833935758384731958144087192048355007297755180171909947464208105263516365797575364872244658025608948986107455430044540563565778915819364399984890957160870034193103825818810933883754887442740439534717863189425128470009003802533
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,580-digit prime (189 intermediate primes).

Certified number2,580-digit prime
Certificatedownload
Certificate chainshow step 45 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054270306 --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":1100000009054270306},"decimal":true,"detail":2}}'