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 #1100000008801115687 5,293 digits created 2026-05-11

Value

1036276337257805403792403856908001858518629605237559026980435110383648873364119214598556058431474196639736108027217495083106954920454919645192230236535591204854492055575198160455681084209659623231407212021990262253203310319846364811983105354643672788482997091414522412795212734327258989266079049604753080749477920726519940194954905820487521581207050047169643162610594909269329131316666165864793817470228575617943525811259216511975663606542683518790697471069243258450651751838833177613739663147229651322564772686545902931291016318294818062026119934191405530380762352662035363762957003345862099713837242592467207763973681287482145111385012323865874610077927619223881084429976993521742442579758401250888266179682457558954667065923145781218127585677172620318876572414810196548349007696119828211588842793015148472317633511567086137209645969429019861347694986996603363673536152214777541444539781876472616148714842477174356367400748614287802593645610852800733124402906191443551806693072694342005359582890432678410849094526531975736508384294733182621650305819970837306255293886495733570050507868867894492063415548831282479365723175751114486689718249788087977449290422986057969278384274122350493380008315434872251643229259065703655037130235396531939124169858384642042834384899965153560055879170522058296840416195433428293335092753723679916870804412523457434979610110570984371256120051723856973985252637806549361499426401924619338855382581626332780886689675334439609503708839738069828640753601029721292650050793007202152417701308620402691716317287624926237247148866675727576737961790431474128862692884452166903965277529182715690131822507579848965657578924373712604650596907110009255910148503425671790000938910825011224647219549128574191530337798672602116880736696108050760663340580268804054312505439143386191454685039373185675020764289715211651107762741463353682737815168706894637015491495780035410896349974838025147003914482002677122638552813841288036833355923521115487247374926890438415558121350156738658096343342238356346938117256745170473501813581554789003282336685629084214171095936667200428524564083970742694582934638776468655207617850934852063976330023426677452895166360506861374454220708592327014824009851488004367542849177058060699319495539165841152247996298892800549456339962543879650274511905415507877129400390097250424075387657024846031059378218955532565458730452157840521498770872164573304856910353233200657880275428736430955951523952652732753548793963831670409654816003752728407562366850428755614579041046218346557603124319401951157960029932409077426963011723983200398634344184108066676020333313282422332617772353541261383570213960246018294567964540264580538887160375009824940050276598408078345140525128321288862031208135162620223745333071280808845466740071055727217741597542552127551731703855209299305602585742722843347883678021905735540473390330776489872181012334212656610620559619411561554654116799768803106860764746575843189318359673306425478085967464703044150746228180582110877523077329627613106425495601287955708427036289642452728023166593320784652822067211560445568581806891354085171322401368755582685471573861511285574238773279571190401222088645296407194514587344503590727059731491165215963866161240410206881217490815463482190091894693723377958370598428008483119969287352108700036869055007109553964000309161898979261017169463748932130526963148387588114197685940939480379334115207266215652898548624656165348575958107098606451908520260571089210534289319351169622937119759989898354695987033831948060394723616878529938792055173681029019770726156234472323399075775600438907959420333939938833892420836978406024073422930455186780770246788509834069665660950709463814970695549451684066350843446561868116640174248430313992074466960365571336236354533387003036549528848077659378072767440189851560201955444277042458912302330759862984363988003233387368857076901929788655560141002009200380435075791823062852959682918850202832611967511479351031447454046097935020321831255230869231601746083209028113885951499896505369410577051260054274487203198435135200699400039963811459857266099991992531134803932726949015918578164574275206534578260336626588621277896166283287550745311139663601455397668131923291716089238055363108458172466031233786124774226606305681775608115658783488126043137459982630129940549625734063948574578903073319144576255263805345754150327033562227056573281025433390814376302896536789246939819576648642288031887772723997698083992057382280999029087180498258772761061883315341774304407625286022776879397471295636621375117175922096170853157333440054340339655878077260706426002813388526662508564609198129073511486623473236962735709099880481550315757644796702679595466475093219888920631546067204924809740850157552918149317469619323160544911626089043265449590805803021916753159112994981962292933850670347619886734667779675564433501893990684920387921899737821175636865828111360264540602661391882001787857774678938598373333080460904026000182450567165300771873902114239041302550974329979147359727619803589310605469420936771334916698275957324939933549273923011207326494455787726320687517687382349082812825752888942939159121354043879716566173413500209522524286986721597397479014749268017865925433638902412397431507713825547376372567534160773232337206241597238405926502414100359857038299089166331729
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 70 of the certificate chain of a 6,368-digit prime (411 intermediate primes).

Certified number6,368-digit prime
Certificatedownload
Certificate chainshow step 70 of 411

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008801115687 --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":1100000008801115687},"decimal":true,"detail":2}}'