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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 #1100000008804870021 3,780 digits created 2026-05-13

Value

518545256686813317542238788387418059406125459536105016177370428156294265700322469576079909199961214829979238579056658266816224380498011116301549999561581724306167438559873253863533488134873800093797822966849062656534066825587567214465334890267458431779899219625662725225608103252411569298119996343617477485125827292717019967753821774864600068772262413998998702430517072710770178249250577917304848470669587772635321380184229088848189840198761398167359268067800951818061724395740486889839457301133235694495217378910571164255302446473402760254366438061338320157925359449937696318334975124266619926662880748844611286270251595025333695831682182588101479024995885171867700369696194470615808196421429546192117284965240729952554927181502694164990647026338343273845364788968248351160605462082777615985834901550953132661138318150771993294826568638673461303409734265832577686279297181398919478444704304082913759674764284870398059066735619241116322133175911106801265264738235928136693379714290259588840346881868256498507277579714507462166098149065316795865724865453814725363133971045804668612269753713022089361693962343976472131016527640314199084391897279629902485676575174168702768989869838757324660199937843319906891400573919398633543804748352991297011178201813507403194371426564486911259863460200662467408342156274843842073812039892568681233896574518163315951750953234022714090071442716986751909173376321276397744617019569016898470023915384051832786291804570955929886021881404741296994714174661289682160451859698161803252184028533116058088251995789822019541074723299719289133176087381132871092487623651113539326438611443005829364372433106916191864558250843008578240148029433763658786148136470694576101320054410406878824152920844210329694264193632603559317802941267752801350629971732087161307455876661420043127739366061668649223857931489791484935710537832893384220772581440027177226320073566185121388313196445361207312109917077393474209925408901453202299027409525369590994301628787891040273011863033346574076262057349007130453092761193494166485512448242196184948347071232526802462547083336476998267117649793787965949520113277915627203721376317731159702802935829939432582295326089874530507136788937155800307145455949825145187581999725603575426918266704992498880615868319187814704229047448855296558694539872253083303271307473641806265371262971198766175354500277428907181822388253157452607050736021460364733365027080352497311747023060087050813409331247924510588825988873118454115067826236504934242177002521760886939777410599330777745888090111177714192108916362912029664972434902739811367132154294755547438370920906854597732843996515226215123924642581640144129200786885223926692188805392195906002480652664752417800422253080603692845174448369912693340314246483938815072688092147427750999624710418945315822514618443540000835261216803635792340321793664596888389761721374062009589668893499644943344450383201650612487017834318981968180223976660355739466380763781404868522024003214763663446653537717858807895114964172727230073994047341216327472927722116089000535293194046052619344157850456680499935729986939098314418231871471084994088189422182202039555249396760235564862048688232626484822982655731381940400111558244341811469377155166021416927750619028622532743383786772575843242501277176215922666950735216829857571532565944767264076300143898312422648181368529055233724107004479683007344880911634742062223102421315012223360328620214758811407044975113355912848706393658338157684160273656107763348235608420842281724251846679054612716548086375369476569165309616865608430124746708904066743049995420165956100543900121718219262855446206630157811901801483334390696142096045534279699025796811318964031724758025356963206594099358255381408030368220602994719417944496271075999593432910804805821381334304839126451
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 4,223-digit prime (282 intermediate primes).

Certified number4,223-digit prime
Certificatedownload
Certificate chainshow step 33 of 282

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008804870021 --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":1100000008804870021},"decimal":true,"detail":2}}'