factordbrpc · fdb
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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 #1100000004828096901 3,715 digits created 2023-10-24

Value

2983665878088102225219560790076966515966797513123306247033618689006312478467181625827013868076359385732030047133228254090948024925813337792172836045697145476434687973624066983021027234589976832226522582547907639101931713937554235554976036017925112294393423857655869732774902812515006988484407165566561827646568373448244977389351531388495279626743626782782783339977612318932542891594547257621772389600015136276052034445553084877157869128132014174097823381778543999930977562613404515604926587686524254359254558865739196380179432801819257081785993074792391991582956388677855995390351562703609532101083320458935014970334141542492552782837670728631688229584393693127143218051085353283862286649643703797995826729508301761412843252503427987596542597938029540382873781082374916724161396791351019764860019945636118981457890463480456490047365937971575105310489160312311466866222753925581490881421229759646014484014139103714194801555826573613920170178544260297278268906945715207257486824019275223104764051023278245521291453248483574688462885495409759962727226983046812177045236916809811045911013186920926684135411038859863187605672534722795207542477663528204084980963606607060811629610439168679617772697389920419632538343430476760301084374946511975760025840223315045629983376435403081010737433550848346940542479661401950690858003930768317756127582657075798676239558881223674448309240047403593628365343670448369068256414984923766895914551022914726710329718176432453190938909828366593587398571488905049127455987076541898445599896170643900987056364135156156161382403539717489406836792871453453567218558459152507624834549946635288257167838448605648993134829180112557098119275576217014498601829683154593985242583746795904901821996914875746793299128977938218298659582767035655876674103195461038651533459012547252461362161611414546842863837930164165193145255342264829819142116361179740256637864889880079089165866976274708150488823074318688184198830262709528383509543267779761387645690530275782261764944147811487793212062904267800934862364813090973031914073792375096346600666801524607508046548657290557354661620085053222612256604849415258875988472223973568328432611657557855551906298430903611117989475060188449453755370877099849526178334080415133154177808418021460612283830247386386107300985043645345534955681956636662663394487176597077506181125999842802217612725326070975902637011839242871776112721712951765957972129854455627506363202598239047302102799773304675281491954812700357716285493582591890250435420951568767066689402193258421515380508573696235174290712567369082285928674820371170793521049414395209534384507604568398340875978997255377891526275089328434915329580032238052786774535328342724775544726152200323371656316905089152712009907520503442637997344325510696224320974421131951639199063467950065534144334793988286104657860748735236039209869774729179001000976788797977837497690788256653878268588353925483613245820328490666874546813806532674680303598729290448028617310451894366186369856285795303594352774456846955020475423151968250614186941252864803911018842799409523346525767216323866419084926432344787898252095775222463928704814643064083538550864530379951888180721411759111735055666068436547088867297606819122624392035594735498118992628893893157581950674285590302797988839651885577627428881972997982150560243222378908903331144864146815593505901803232545054087474467941495424797506420616116960081391546922898791768257645639493076275093444562620357731436904389851913723650180111804362293681396816364034092316144296082748644789222518829287125031389231751336392101157445762442615446535969320750209751987333009045328403157656706370837657893731184889342042940426634589234871790878886690742826556727262958140500417307224291513156751
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 4,120-digit prime (563 intermediate primes).

Certified number4,120-digit prime
Certificatedownload
Certificate chainshow step 45 of 563

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828096901 --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":1100000004828096901},"decimal":true,"detail":2}}'