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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 #1100000006985328478 2,273 digits created 2024-04-21

Value

15533407300284277593287517177448512594580573528566690600368183490973562841841613762703201465109290765450854584347027188540362115711489077086404395171638023024030451406002632064120780026461670485354707070829035486731639736291905948724108337794358547322331430661019575665968909372146309219281610851541208934422998331092325920576731519050143769927232047928598321200554828799508207644742132291010189924142507766792867721653061128376661185620610068680000898792298805575452712369747900683630424719733290580024641413871834707118544861054475027462627302739754541180857002685617027505959715685744871089579776647183404860798363176788621255454332185305966743092261377076525534346794580578837949519453405698447725031193662872430410114220173102678635148159957567340325419534128603450433574629137172994405359292048660475989865336839290343915188286683654139528806925490711276655791464540456242928373433741372668312759722430719658915188805963371267576790151112128658239426858792412942656026818011380420927733893722219789238781333242342646009132574079064279724721921637341445905530406944912396976442232330673553318197356535000036844679863773387005259102006122012305129811060182421664813863170209167537179499707553369547273222660098293389384383098763619263926352292368672021384043240275369742600519171578934890982411563271085769993162964738234818065839767747109678769858162744773988422801838131047118136279754695186963555750864537259729213969597724281501041295167552497006116686899160009892812126609264150896054059617088122512898069404031115345007612962592083970445299785893022096498199184928278726180406030468188889393169336695942373380365404434733768367959963851335387500082658087025474358300811452038564494316587887917062389092288664025967269855871721180187740561311809715533698404582589763359322966058917567904494962899367915460598211021581796386298700771319016727354349721345456163458972027423195887555345138912344635862937764941975805049246022958866132899098906650043312633688272189966749685231595637381394686209057594318251639757231266768101374663482246954927441973164411580664856018179173245627536341917857401205660136872060120326367055352433131009741447218515030696135453208312332263804502514427466512619350620317912901477200405929290616548030216350219689882187208911075895151632669
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 59 of the certificate chain of a 2,867-digit prime (317 intermediate primes).

Certified number2,867-digit prime
Certificatedownload
Certificate chainshow step 59 of 317

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006985328478 --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":1100000006985328478},"decimal":true,"detail":2}}'