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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 #1100000004818347151 4,043 digits created 2023-10-24

Value

22849032993867577593102711364304002949923225022885818084961716708959280935140298134944627255048925207696888288822567013357969491667509841493714732195512451179952207436700240848125349956998538594335457333984220698499913706358729222878992724574572867297395671277387859271998307709455098824249787523971416307370400862383672203910373230146569735606058864462503239130685809840958551160025658231811674871618562200463592660466563243923000525411936460117666926211511150937136925855774869594842297660810274441421303955118198942524113735139525447100549148451660067624433791211804867378045355943438427700276517864207564501541935779866747199799377590224637645494657173653810802593332471142811585381930181199826330689740022391913689992542249762238205510019367427582493151662452149251154991940924159799440287926569300376437976635387425317899852737183989055326240317287816195470600261154782661176386403810461818081548654871622791596462262221094565521201372350288041707886563076755571764457872882120446466301660080333955546540451803603737539412016137989962939625467595950458380986552255074205202720022566867458855136570928624990119836148630340951546722500390396384745872139606259727298575528368749542200475658332578248779479497815219112799024630616367440207822926603833799132554054400287624387595409567742719789497431675729351082775684870849430703816636802784575600366158667743769067451973660439734240440664784554224752579151520006619962984969399784961387507454606536999035660324525168641131949357934607964066758961718278841546366760684453844564823225344030354563595883634401504599591390968295471346253387931531913262812387939138200514637718708403133990087161723259793611295738122230016286868831112299991818327854499661238151215397144407107313779977513991402101821760724016385553993546756107577517224424804226577385965243194035207391998314561817540395749711358546971334164834869877677725476951550845534844234000863045098846227828793683057347097892517799618223057841973010892757110419694847064574251486091792154577823790292386187771463604126404451662087653420622642095598864448094333946076765591062320073621658518798312822207424227369428506474829353692117920990792827662527179231152862660240006266687094123439576056544815322418325557375020337047310803604351396683409608939099732088840606725351928951124292787430183620497661640527255134118412191922466614517464854339481232701802317211149186858301152697348483172576583936161553587629163559826225573248816902706076900095334187275893168777536962579019694498546793693544558481416573399069617618839752715114011023529126053658407597617474807591173689292713461599191180622720880754129087050796632271391203722454507263156178144461405192725590241556280633865739817060958193512290232763354418807671031831720856803064255529233239469221865279393993234123637964628794832584729049891106229122744800698373792089311307694577864179007574750856111498933200606290706007317775442333080230012761176963068589555331447111861255213987536626944317315836973794938015801000489946026457279561638825997578578798966162718851478926527484068603954069747060893026337917329421902390395304120512774572324555007815236276439131410472432951832544181397515030829123619401082386008371261337963849610049634436883881137386474387038785367849353335063132679738156205909184406241318490858481112762836111722959643847305269567508251810693177189494615905977920082498903744553884382497695769172078068547906245327980488089014901538114610460516203685851600031499941890413333851855740655715169675441767773988946838274699078618388301142089658384590597605628346014866675414016576423514882334180060459565091949615306815703878723461126837608661784788094856262245485924689661810046652715832560647322391180909714007413712574314283029972955668375876810433566870029820864799208118967478295884478130035172889424339008001675121494441430417218394935515113448772327325209100166621325874615435644564722347221133750576368597708057985838345561437367750338308787054015252035644680994681185199158294915231784511672301660546790720375498662953777119152600895326521390682348420815947
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 99 of the certificate chain of a 5,103-digit prime (522 intermediate primes).

Certified number5,103-digit prime
Certificatedownload
Certificate chainshow step 99 of 522

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004818347151 --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":1100000004818347151},"decimal":true,"detail":2}}'