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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 #1100000004815283369 4,871 digits created 2023-10-24

Value

47657894018376020746452202998270382234442830519103466720165589724190294281350548800691414038261130354585171409505299757020053365721055716949446362346007526138710514915211789547737110884034747547178859809743277624367468428580207121694490210426412128416979797368697146684959786038255101559519958488039669686785975449293762268517099187565195409374554731365875044035628090979639394494415210541583378095565972167423711881550726841514093238298186365420596899476225494801058433158542560341875338560044720319483319339874242171503527794661887285257990894521050920295985018636924543957939859450137920328586565145887930490444599544278440339787274246203236117500096773381905752915097792324985284533150081354805717987889672819721910836867607848108457059824750980416031851261896617590885740253539731858260260339686563862744436305609161770148914701242934160011523284720606075570582991958715465665903581140419393076991534502244079562528844816274058125686403228297385532750940294284875341229473482900906666653179701010691526852418881621358284812650600306790958844253984458156664374714789277357183415805169332097979094892864190591047153003893066842422405517280791545652289756166854443845590603228875792511154374542455903264588171771796973965370350052965897642085559524688001278461077530967979703324109656213010841385657246151490974495619055207201165504103918317532515120364270917948559781485947423924970113106776063028194374655106896574424221614089771119769615630177857262028388979071550641871962195912858399489256987414271421046680642716600071377356249137872668114651762893633601959110135685797228213269670252961012620134134139004862874343783235818804929169953909162753357534338248763746143640548736044054631755078635449239545107040411252631510860680262685046591900372158155397081265701913094403359690463197812457940125393427558210713768710331512367077182347337512220879702692507147770442202683150049922316429102711761920691696234480299141799617772822208137878884106315967190594429431833904701756041632633993199487532546456287480132695295247389549107652397124488530406538870990997910345727592304047981457998697491868783696515332221618248475633722230313995222214443446349295216153623999699109562594735298364398022922029314404198053956366974851919316855714627754281883980741565625027751771690136965898127679407917318996087423429680675067762844553108436155815423860373904233307988618707203119749354294429252517263635551912991531858794533120569792898603263787232895232871813050518799259484892579562038486035660281393468372656258424980863758671425716760342164340669935529982063943119919683089122707803840952224575545348072272508986224757873439040601138365812075595544405228047537546386685647676200391903946171568608766269820159902195384037629186805634408377214833594683939166755723127976991796960309100146166686675206670726176421382835050248076623807442742809550678294262648128182735528783901396497888516814661314855128034343186988755637968062291082045827231525218720939057711463049033263539862774031282281698684630867129723019752350742487852201114384145771720452431846080531084402704195863725436182660296879503815836621296562564507828744293394269162730866266495817776315313574671005933007878122031642354083415305508714873791827464203655992452375410334978001269680518670263997238787423904136548829425303505505371420951592201073082622183057846221997330255404100200746513237891353604152803326580445865055302059474598316433027051312192941860973176126299161361583587665920672745974554474837386814962057336919613291307759174185903796197342170026659722895595353829883728600456993764132971288951095677495798145058278246511747051492730921454536771195852051967636892380605515940356031640469932135725971709995488618262865284355379874761757345784165606766259999257152300633214990343030076668364443041300917611112077455346870313712628740246586319593672361361621444521340934421044810179854937402017528834070653190333113043529189616180018139489311234394861808830652371090370442861165560247411080534708677185517051288328409797026059248541435922700896383499308605162603396378759397547513100003536277221559113131266554615993536493861364013769563751574473247526717760318071087374230887051768206490808951017528342035989731304648545953350063930820599975593413040557258281501763669522537925297991013158385504832910812223416928887644998017915505426984265166592082273312989071614502498591304987867251614820233388678749672065186054931240139795090626424031783766674357544152219082548446522439700230892080750266578781562326182637892886282042928358014171985188198109027007807971867696302775027343054502265725404199466544110406241501384948328002540140871616692299847183272671552980250215294688487778527646516406820695578994664366763998948946523959874945970677585448142615645520741955262453268572929919913287020207712122039231445024372703868049234251262515993635145339322246053765369702055994112606997407276071765283264813
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 59 of the certificate chain of a 5,499-digit prime (558 intermediate primes).

Certified number5,499-digit prime
Certificatedownload
Certificate chainshow step 59 of 558

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815283369 --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":1100000004815283369},"decimal":true,"detail":2}}'