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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 #1100000004825888155 4,172 digits created 2023-10-24

Value

71414996709881723839316618914654608221164645704577477519494691642852289817452196593156517071484847562703060396460923381441744494576014188721712562059821885654853938473490372622761921177676213651541500582539774302113921524745720216747492868784215897920080876275660375634801776497040716203604727500781850390847795166232043290626022654803771363776258943566540139905435851460564651595057947203393548385393166307930486946869995648345674706913325255043799288955748507247675681193368995830583797047935282403358313583763002804940306404121541706495511421417599913217919447533269917722295184494385930227070216184376780706734847795064347601325158286460825390235992370036953424318916143453267346086930102963155706899875092069854150651828008600915012671535807730692015836711816809580930390275717973181894918352256014697239667698718542532808826871668169395691385473913637587717791770291081955444346049794521751990034528364135367590277045353063069860536416889303105515850650303518364315132413124364498414716174623754004074746637426207034092415083942808268284481478972835435962523828372356789185525876252044186402756166742522241835821888229710304806938501039372819874748341419715239869590380578855136177221034306290511846131472669844876942956214223829937423009046293191612415749532367236462841157387680899606886900338427454274018865494147176849392406994626224882876060579245464663474231019582630084673182023341036550049814206816861188922674346859964436295143810102529363993420888057416323128742782039814547040033565894421928187748342289325050779166300604939293985198165903698214500362237108457091050320811877049841159472473659580815794293093957179481311939721592374403761376639086681845290034129656552050580557010174773549265525182646442446250934026223145404561791817217633776993391281417802936937712146217200991884510557485046858195278692438562614203951616184034370211601114652799386067991208624300930311325281140991837505210950938344492178679044602929067289772433200338419598022289713721880217711860577091932717937578264855060268042610213391355222747161790048073432189299495955150591432228829966699554831325271617799473830559387464851550826772015832355584638461045241948415715251925118016711302518240051051652639040344783055608746437879276504012705771579938097578167494874266227335484767537737235224641987302364939486766936295137746903269781100516643656238301899060172983893813220880484299213355454038784804637640925519892308914343831431553236588396357529903931600820384320735661911370857012431404267277404249851568093962885775659402212465981448694947333115591564441993921585059516280672851793545207965396451672560326214900951656799336943359164093040847319744789772244952359874539209498697972899001685783866055232826609670931132689453387736200085599169454112791450413387514011344575197548453916328009415969700104187190587026217845997280393083125130377384786400759672001578857253993896026605038359137758459377032533066940196730569921467005927931766147870199744353085727899897621705148671447971088671496196898199229980637215252650089619108086850227628636827591799111566484017545269679698401225165810654814776138947144383390022755229878776996425110582502299085995039662723131609772691581178516165943550674983508805055732426251973400768939884571338158312458361906083240388562465600574849308079182938112426474459918579458161080796022397933872262311638899332325723502862065161241191064779636579886712254843085698217434581719326249435624740451398870780626661734813669442310378008992065766477382223867016360603973839606267505851671401138751934975890844842953682149619867707940447928775748330815033455867234066601299274374163602470312332537511090248001618484884246908362804209817534885007153488261031755426232851740376028486506629405504564357428865045291054107517479967733943087265294897114735785320051088444317238052860839535676282569646845473015037044171408097461250744213991469436616346893123228241112891735556160726997237926058171403664505260365880094412032901503983830742362325990708443432589621325774817672637877131588406063395679855706258244262514500384633567593088199009178016057593753620307754633091512595683941385101863129333754263370895068951860254314641401412859752892014843803758493
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 4,289-digit prime (441 intermediate primes).

Certified number4,289-digit prime
Certificatedownload
Certificate chainshow step 13 of 441

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825888155 --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":1100000004825888155},"decimal":true,"detail":2}}'