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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 #1100000004836536557 3,457 digits created 2023-10-24

Value

1815851830030701453016499681690330319018546974727730892511137475804507731471513966274888196780674872818398265939999231767476422148362716651473828767436825697434352018447343540891797815933131502187687035261556472216026753245093586282973678977517524488017189021050111294471853496116342332768675093751859628637942997602972296186955421721102300190437802877587987721311532263705447661139027010713666932796743272775591273314805207912074440698498041748941896599030718052470105250877833959075764824026514023164612413736306604541369279731367239864037361383088764269742985340059353336823930174995085822872385092055380748830550292087054663740149092886992856854958895837545222202472883551088308604674163664356309913217426782301326016290270897993575321230341843942417175756247707735373980771352842157716843523310666821254681084995704057658114926193702912593514852215151368739680490319912527236679156690397842234251645856830226987501911791819453315640236899814828128295328179415308377038685372918880489874534632575113126583596630741358453435812809843653854900916588841983214717615126722196922190299867368994981600742831649250795842216963098227099225718608473376686907231362261179656289625401789868287029032910840842909174626824319980492357056806162281964356538806186455527113740800107420716413091543137598165622421714757574492012409387960057006820117038795499667950487563122274190396914047240936726155963166806116513647874229598495060968575264882800106856159089320084216848126615210573947788081730479108014589167101601121218498512967013538474103216193467530276111208736539087521542118424839415130866687735349284441842966525318353132075941612795396604913821122878188494470233957830446555637843720825924710984453502711250550187416376202946334377865290781350499747356745395403348033564469217005842904888340402677508006624550810800961265587957993161728031804581228660222310841806781067149943045022665356198181802907503595302945524203278900149439307738457855095197919534090837901656521605980427149584909579323134544250750302105415368644251671626618428573240872632046724760614405747713035828458739072795788997533918541338801478032609511429427026115735806933146996275763972965862805888224637138455047473237639255497688714076856613447474451676493650764237265272592060729984908903771822081229424116188496338286277210928913826374599933593183462164417630288855153125914587603033381939381874566863113607190511496157634076899353227042954381629422107719763919676874008487189860153518248280564377762758785194838318306602485520581681563042689445912811946756648776111517109139471505998526031242477028805094297684532591943648839125132933402397373319682813716855746597316988230672027491922278981119083536163866870086254110989788416424897362597917892484116922689020756537968639704889675468046822771866142481095005340250540317579548796479108203037182904029149515367734319143812808647387431490599102614781638310246151744749814436997851177024215043371303291265065983793135302700441907947893841112495310571276015912375828572881758820203899786480749893937784299060773833507097078916845624168581121860096717057459259736707973388745318270705521318055742221158616981130242550854422853937262295239173287893925100409190902015991177425652296606065903315636009993220290672190194096398465907233680131132031505161174573590753918642547377545618244532197657628208756190801743847773489661927548011029840379300411100439214339994252868427315177549804446964387824951538339101631566653025380332653123743284691963
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 3,651-digit prime (390 intermediate primes).

Certified number3,651-digit prime
Certificatedownload
Certificate chainshow step 21 of 390

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004836536557 --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":1100000004836536557},"decimal":true,"detail":2}}'