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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 #1100000004825890106 3,313 digits created 2023-10-24

Value

2048936857117425640857527408103167960005567538512000537870684762239342161270639251282466166783962002714057054204913005121855201733359759901562927187728741549891883563383833183000925980361385107918343750229696079661986375105930218552041644610155665958118565605034290653590945402108131423713330426469645148411950540886267339671059539550876920775148800171959425929591509095965621303047689985156648127960634147451283505811567294240954247988924425721381858164897929142088108783927610174387998382584537400754204109054413285519492295680862708691314882640294761509823747562817171842064292592414317955777902554176936777340457932629235097754214569800131818573590892844101489918028838934351748764178238715675018275757411919811114805708317864894349164000819012700830700674517291816305866660181506041349468455660206471073155075252253891956611030753665133961516502012299700702103676663480739513301244038924944492666424476755769560845888752344043093775007371527584038185369992711600275506464785487051632346515391884867607555956606066488753534854032461524018176018683335903339855962104608529942593402159166164180428898323888395153855552003103394659690687751455462166088407632709399395282028485462457293026094938855233929898581335844646814737291205456856984323683897339801941700971325020730082087697930005448808042413198844138716228852049970909127002167547718896692950959860264155176581363493749266796198268310133081576590145957215604713494035359787017218859106771575681875587605414132623835632783714589395208051054864221373623459154309106033706737422900227550953801114554156569388127523257344080514012402120879882231328544751466768122572640239180689585084929302570094585884566670131210659744746274547164868674778883131194786852208692200428406950456688120865256728852521154340066704678238580427466597135893925580768490333631915268022920940839314567525613336111384112463719222349145646642203761675946805949461380848019544573889324245140561626611819541697600268978703788390334437163296161943384480129065674230934208624457460027719016877052387694275333422465974429237958861165452974925236328391832716677754398354652282745527397098524421535626341335905979044231392397946178323783503178753289860565330756170843121937518505467610782328928039660652285031806997498978630843865530697149911448785295416794128622958739027462972240163906379377015592185690383173412601827976525789067599383774431644488394830600498119592570161466508019766838902675544957028711822188036319254231539653045797370024650536407014516881411978819788532408838489506371791100603216658052524059710031790160467456432812367306384974766823116284844972777765736332719001660905159236087707357300332938393644698758726348201467765657523071621237678182883233611843450490904043569428496378653041561917299400639358992903498856234205168526786578402166926232657416857600460109211915229919866262863317894957489988663323158493019433668453890254487698014408772205326537770394469266646425039367611450701579222926788580894999879261212352141979214659793956406466072117884955614987940665446878816981853684131913775868019403961784382644932142365747122582836297285638127614395265936321611259978001962067701210065385193545343279349580376493713065340578928434287176629820094754142703379171899384008355615201215225788700581826345145189698451403128560857637707126968336615555602849242690641353423
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 91 of the certificate chain of a 4,289-digit prime (441 intermediate primes).

Certified number4,289-digit prime
Certificatedownload
Certificate chainshow step 91 of 441

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825890106 --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":1100000004825890106},"decimal":true,"detail":2}}'