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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 #1100000009053334289 1,557 digits created 2026-08-07

Value

345085059378802767759564214054266038513738611851152775025124310849844089355824284089518162414845709564177118276514085679315322922098780507882619845932975860480782353841751157551615564981558133012612593333509917498143222628461072928451723884788671872408116723041256723478056876389855015521432095742485577932541852926615324316697853312868310225552651800857281054518913132833733316939308193989552159037295659058625516922642254330002304657061991301597761804017764127468070280021407372411573049572079880095581125290369443093713658561830139003084498118546633089122295336461986156507809955524220405508741961708307665335296780335527140068996547713267413768533207123448502973982365157364922656738881380121553351182285949731728392877961536159342904586005270767680859105510178480566230193383823349438540010636864958969653543795748797085698961526781840097474344195338990759657619006468432518089796205854690148643419077767658370813289505503833493712751310690624191031238927689419595822621537721196989202510956043060166678944516372648000978256961066093417300999796106501836772624797399336864520160934387128564429737014381629824298678628377293913657406272967557957631922981628949762455117938335350536405633987225267726070910451769477784284297713678924378890764442521486976591180174356393698968590590890744362586060678493559793079037638016204996949682045885434281895962118751328642837680055108586795878592699319960005180484860808550414301451401768858959017351166416602536141682112335089100365192349411507239578923681748085540610383163003969984370246490521957381276494624627
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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 (177 intermediate primes).

Certified number2,400-digit prime
Certificatedownload
Certificate chainshow step 62 of 177

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053334289 --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":1100000009053334289},"decimal":true,"detail":2}}'