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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 #1100000004857688845 2,119 digits created 2023-10-24

Value

1040130357664240480215579968172087167935334101724492443898830749600833692860894854391821768391484524886578713402654737013561261862557163987744624317106838615589528138212104478935936563974743486629279110066323641059604934396739307118295858932772948341178538911361165347411092572362051898235465696382940681130639859444781230007692145472098381482806387449869912548481627498242162559963554261737959444069177616509612922833365083050532796773923597835823301138401960048072179681512681756052503203315596689709929031062348449099253821082971344996784875207335318562655092523818875167176018500045055628042254445837922504093251581839358435044334746695032909992957942153029871190635845777607978362401952396645631788052351963617663837290915101279468613038332199677474898601696128736647622377963364212251200827936048014675628138554353465960636729593845622159124051882248139024416011614878699575635376030731700854877571494978675545899871433839252774704543367103434586671108905130713791470017367311839225029426079402625210773884855634871230441577363106130492325366311111319713866280333136048264910165929283052075715693796610743737910290578701817730181719493965364375142762714419975072804049858695132450996423686176294694478270295317694156465820875630325498212273668957272387845761369415250794994888495141357480810584091102535289977061472471946451135323997503763742419140422296643749384669632696839173266061698741213950222104062720766973417059283552541281177009589439789754566687822787337145340973419609208249296248036815874058204032663034512579393940745571230425598961574552374227730124179388472217183769217244955604602314326794552577141792501546289013208652155480225674135017733057453702158093110126121487396257024245513258328124276430826928460235790262683890194648487093751644028079843966757434774990685686386541689001373534526964407962215671609959048198050454356563132142719333632196978252179454092358591276693949626872506497526789252535011178340310036701784750481033202497990889608872726083891293999218127776181572440185052859450860285891963229467277997976635053314720699940118386809791850428180561626400067792637360651172482076763
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 92 of the certificate chain of a 2,980-digit prime (329 intermediate primes).

Certified number2,980-digit prime
Certificatedownload
Certificate chainshow step 92 of 329

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857688845 --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":1100000004857688845},"decimal":true,"detail":2}}'