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 #1100000004814801082 5,208 digits created 2023-10-24

Value

314086431848250466186278613885461111749674596781060949478825519949972036058374204484553496565997120486177873645539559072089748804871329368504998736280370218778113882992095822007723417623759677433029533306111221397662515012298215413952250819744513705751776209408612953032709070889735098111441729573738928132390752817153929724007836616606154835098101512952877333217611218635309709384704292814780443559448117787866222608860518376739964329503365808814203985697064921903837799270778279823399428562840331274600985732632088471626769045979130855207948309739791377771389092506144410125560441764843123362000002366657489648966622596087423083878584050345433032385508635143890455403734552862185078024777755181111294252007930620336316360234719577504677634277221163193577364831436969575329995456224528933384146847021925249540568493852246070182302965536121117615958341493423918602298332802091212791819192041930246120970934454703045488532690058603004778999456917087457729194218556582576926559408603962279683748306924111264631448727493112458415201375622460221560557413573854064911616907193956333979553312738576262152284898718948849287860375254251515658307034904344899437472853475639541069631055227409933495334374569788652822528096873752345608038942282157585289553926693360406189530478468370783809122445142771763209802568695138829982195965003611441543577629919184835585376477817498602789355162291129584603389439607038162772807484541537264089022991541929018716742447818770773983388390985192769467563340811595905900079707191100865984112067011984244985087725641760910705067355488141775357653489197748802492589219922708298488624107843622296143119130846611595487262115232695033523365026283900929205034024910139616093417314862034552905721448100783717159905629096489969291999566448795534238263719178713566723426823005995366084171038202971774113717544274810623710654204608354936066967971266644962045665294093263068312923878610330645876635257188192555111452729974254143080126546117446120575202852281853531750522015732813866841340517604990697565449482241885978653331556000366223136625280413887294759202861238734753052573188700660743016494105512831834717369473139666322613079935234281454358835415420906478168163871587509602598399688671381176836036848852615957510834862872656526720464736834044435484976230167631166948130384516599336436219625115813317675070032372301835104729252336152279509423705461236859056920525551316010316305583124475155044529903096633838863239458238719881010562104794641788085748790559187012750813806173607126538760965622634608816333070833543819662359727822683105978791359730593092476433054679840873594258774274403386780380190468667002189610249796787503441002352256511094053006181799040819672241351005416402382428832458091730342371981634517123614972291307589971869961715288007416275286125213345344435976062939710054637507923922346402770625312338206433352592370748609482527157022681431391789726338206560875685743548130390903671430475518663190036125631093861380623777335926024900718193661792307817351280702862587765595868515205177792054060186304766425067751677724515637133470072066657296104805697773480215864634896605761138650009507904309525166005956364830123447682758041277134744762829613984980583558024442170515341267250498025340427152165005317762272816442492884620196257736421750166537489489657791742586832865198625115721907354870148705071584951264564816854842428078143826633529590998832714054741265248587079210234922964031281183350481440283157102564853812591478753902000248939823926999415347630765462982651260400302145061283362277518180408309546450964078781539965654239552618237230525587923674510079449402103013672258763422966861801382102902013915888127703630608526174910891133037545409195978848712754679631380742770328805048000534331531242850859639533304041789708886657164578574399641849311877373022841921460138056308598297755642091088691415852010899073000310027320464542370002605139869213633101873635085287349454799549793483389587633412018998895410772232026587790078460301346690654173299642209343157369179552993888478399632975456345335373734986310138009074303950021786061108358223658524655711149502259626135296157455275281411909391329418611909926513833650967847550353651930762631469495472758839583836645662073364745353163106254202927550724059500482637278219380184641621329504995650254864501539983851258598994158094491941158640434832521369499961157978218576449689340639398948164443036173409467020356631592901260247555436913742348528142293507915447107025126401306645604441170928906084082369338977455257856888646838197372603926365160443527410051291221678886684739245546574564180387169501472085439500862252489031234295363394220984965626391853576935550718199989072493490122116176023065994032467072229458723690095079766966431284457446716335030340257850649887736797958930017649590493343370510381410426446893435976942385321375530861660512755035744979954890728393960631570366657113375970526332710630950218580971675063439032474752486480014577924678472295950232932700867217823634093901043790303245565830454115352235653883832353217669901873160186818989263946861455733801677836477335221178059474643594555662391076694672462323104205706824010263666849214571377704606528710944669597733703665633790207730348149515793414073834804127
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 5,555-digit prime (661 intermediate primes).

Certified number5,555-digit prime
Certificatedownload
Certificate chainshow step 41 of 661

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814801082 --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":1100000004814801082},"decimal":true,"detail":2}}'