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 #1100000004813709711 5,092 digits created 2023-10-24

Value

2590637588443037922738891869030867494941942288022525777288906225175959372801828766068993968226855037275723334059588711467484380742625783240470184399257577535914407732365703533020468573252530931541547373472162856169990505798882582315193908434325701425216125186161525784133612258020296638232332846827499451871169829264792183142789526474338361518898897379501201948876076728203460067467207876651608641149413209484780350181511138438833193070486220365077629285568654157010068595399387708102761309239586598279452973995021114129054566070032249761953356337178551413636338212591330457156653178028362352567536836272970757460878212293338951683684199950240398138284292271005219160900078741834017332668303582178196088491949420160310607869215249225602519185276212802548904207511186382118258611699460901692423326077510156737125815298956611217963363391365320803348312436318428948664956074523622882179282654787482508277095008469442737190261316853921827699962382300933653911278735029101088157354456065293435734551418028113399041581905591171967447914569864995173371430769135888214976822530851357165233338905164779650837888989972061753831220894985489784178528346484903047078336799038716075833015619331287845600344350472350154607018102463185257748397605944355184594023319918361836564141780506619995468280042119356838702297618825319868742902143125397915386541252733153357203204544032439125390390964998268222800381452458490626042736477161892575106142568945678978337387206291769708338208588351839867152350626804732895131658411778528711094208855684639759507054937062107714105751658569277218165938336023097029757357672862653650884570584639572051173083268599885113323039145116282242670541110087324573499650063124078054308924430087648831647445216110123409279507736278176060789220497330562548176525144458728461175829390399137225723222967030155645346099508068530225373515474571537772802051023258420665661559743663015365833940783013394021162148751749442880211274819149874043279704803992981650417216612039280216132214086621556918172293910942008515883846725191386972746180176940584404319889302917795362346406241320805916010370571110751435517912722087798036302969940114590324242702261960780707200048136194830470675524712795630070568682411956599493637476065544951910147903372683671280317513761659192430830185593966660339974607883491263781432702047050129654409357379787186631223202494303629759305280515087960545494190731592463818345784863787761688070688363281433173783995147835821271363237166746439899454462541543122430685199009633064514220371341785464414114597162619339801107823223644262221759327539400794604919378180644798647016993563182548507083394111755710245853382605826211749576458928668482307035141158498504438993851564383863207167100797596094639578181308229933973283705250955120378343771010271160522962737400356655894256957730302872509942044449817096033764549903624934527297601138432137351140547599270804284448710470198598690276734298940352597874044667710048161327894616364433608882823762983239338897807604599245313380234523522862942316811476268588473843136131568546486147090360546576145193813847828641475892228347844717507582139620795770188024579635427864706983601331046290409437052188115532299373553555534091099933579192764200195367096017600337702853998248736788318535853655741087751372824717321920939962274369410896949740093997623195913629266770095700558753677529425845548981529671425933923824295588587441290116338261195610494018669732790584186574616668130568272379497671457055424302534389150786231734886517907365131254514499919423235195174909480525882432491477352703669991889847836763250865066224198297184181692377747607000823732331205975942802593851760583543374795519778174488168806883008774623164871563494096339873978748144687488127447864908384254551576807938511347255473491470790345403138725688182146079716938230079681477088653678871659361921429621913377902094297612891850173422357483510079680368970566716129436352634097733360448875291503146335155912203375669249389883484555736250988069052879082829866588445221188119430652180151706886189629884753911994736816371240482331407771598074357759927136055948490231736772507670083910288942667516012110303865162577360885625497746968540865659583507385420072586692811390274725164520253513217225503565744272392129739280458105242613550295879555810249337397055368992327967814924869499734273166609567248602653264667286818210212633613911178969757561338037204930044526038966321000430577078544874940970301297696867585478392826729902607873014555316239439645107908771973376879316796407863174923574020992942592075838268638840008700579123634682733318810269784468875856139050606399633991355488540216660561685668666122044593887175238254730328386220956791602649970043813422223939720889740470140825937066681838472379265260604958294404479016219133430069062409635987083468580292520241291236573840447485492882324593330104399196865415451627280296890771522531992245263135724790477761700864467249012991348536237715388737844174506671824778448671618032681553884547931565583286642349246939906317418224483353886539252094452128600095572254189335798588215064389361098199011023781228586420194470135322313
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 94 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 94 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813709711 --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":1100000004813709711},"decimal":true,"detail":2}}'