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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 #1100000004857158962 2,488 digits created 2023-10-24

Value

1701983967065797304560101879730951891546443748564305239342512688600472380662458203872205600286129633789934712234886368858444416806917838933244822747822257755362959676449223053661373622634835709937743963486651445919979877121817281672694455064888241028309332964904151426583461489427204666016039597148580699206884444909997707124833092796019836068844313809818019443999769352468328196811306072155830981863358551144225419018996335567595765852335535294189655551815384806442492010314983275600867260004059118426431879797031529183687481148393911711555086439971341061262931585384899057811637549728355936317637255608239579490719235398700278657219615182270070104819024161209276249515349621674786547755536893364367928006854703435526503635820171813879718267503963471249164512950910329024119559250625241691865246884637069711046968197469888090799834903381200037372833490235237448864699878451395537796944004470054811678646869763034838382123178848843153261329445311129241467959782924602983420846229209956622047101680773916014731643396141591538809874166311981451109700764154434316014540355556575167421121039249452673623449188793973396620199811219028920868107149628928077408844950719377967370710134860658045318211883838545795492795739655220336596787617178312035038720483886495625705398463031908619473045297584168889786659499904312795268435072924738389305906514869114679556578897909957101757842431283860430873329184781084697249066141523938288970787649958400441874525268683828554968017869994907975997742341514993467644638705883035516345287351534406484306201312555023009926288753319776848337572697330610624569646420142783837165872964152025968568858168112634128356516091334660059846406890152053569341638895728162583907063118080606374436456444903639729283319318836779366683387590750450896815526489548642307699752652619778461573893534799686216921903030662695690785453919139221480410437892877584533797588398876639713326050836100681648395093597893286454515668921107209231763840470514640819300005991411828672587640820598109419668376683697754365963656983341779614751891247453654097644205854085069933715773146289241997052282125770838317748951647712987113844358051536021323843347221254191995643239969923422197607811406064218617331854739925439434930940489706941750952945423414940773778630629769989733945922070801669462225139150994308991949954801362969830030000573542331415082123320402313906089242556247871429935999506037778305080501829978698682345922478398952449064874921972789131071095329391917599813003195210503232881237
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,997-digit prime (315 intermediate primes).

Certified number2,997-digit prime
Certificatedownload
Certificate chainshow step 48 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857158962 --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":1100000004857158962},"decimal":true,"detail":2}}'