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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 #1100000004829756158 3,285 digits created 2023-10-24

Value

573273549982645549814353748554578139527817455276429321507808758390189574484890138227272568804377632274087858925498271610035170749844089670809059588942995533449645662306754914834196823891888077199430764499617335992292240997355511781881273371056005341662391704806276442068102280630044310653553522940537804750035987874642459656248907978571762479164699389929915894232513379085979349145129066330005845957946267351340305877201528364345757972082851703354207455184241124392349629330781483185601751616591091718058013398939504198170994266076527076770648203785977656673810937388764865897450096898187275338187527056703184528905320298465178658443294489035688848745616407029689758330569291308925035867865882260711144156056929376824832342506013090823082225944556172580284641292111769336180044378034213874958113164317989209861693526025628619066757875052445016604955115302688172980388456619797024074291656209556059164135132095319473606631664745236289604486876264108172248579006530530837502587816276104424014072437042380485373546594858987385247075110355553441908627279036708163911374501277551111613744746366616315408866516230071152250712295372903857994383658607028452866162283873861351529786806569756061153727365037052714865589971136299757746929760314973168341033644070150796432742347113888242505094528517954531300515016101510652830589354257120066224447994826694347449340604226304503760654998820071716397266828346075441325197198838778680537635418818723081509092982666964535852258843370483718399439564739645572704389204987839152485074677531683375719422934932775667082987810069022832591184845138411369216543236643764378059534859266104036893113557793336035266280598336893232262255394089901376806771523200587750952366390647496442268242739079239048180641602945891128804762695316071534032027968212096495455071436945182552388628156775613048159939485788776580157681782463465595065517065997131522320774865327590176634292574667012225585697260877296666062596815259977542832778093963098242814018428865469332727716399452102495234080530802466498825152267144201391953183776290518476187667558976250824294877140919202587691809845445949805675826429237435016406080089457589092826461921017507387589975415225139044476340409208103246974367877717585468523310970673364354556845544391831061013289927735537313353737388498459228345921846714129552578551794366433610866973896804907823749219876057034934074611351564421682896505360905823361497406942894051547530464967115762238361389461783408177940921518679165198697622913857947545493419946048985408984694155854024170151845809869736896287864597072575781771940183136591303290718279785208437966278379001402432051620555965524987696160644917768683257119787965564952063074608752983501588375826913286188443693252923639332183882398535400053562112243758622473449201731694115019283357866876629813832602053947635241919745164565074518397756203679286022083850567130655596843768266240029520606424063832134583270371664062100914909540030254824079115645545806716385891687182423315582817498236205404733818153184091803033953529724354565233871158564637695820471385005166269659225834756362920034588789662573662982608031656568525639430731773173653346807358598006741852322208806703131830456808620516798764979118980910068990921080059522732062626090380028878662709598562360572541872940411139265583524676285811
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 80 of the certificate chain of a 4,005-digit prime (448 intermediate primes).

Certified number4,005-digit prime
Certificatedownload
Certificate chainshow step 80 of 448

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004829756158 --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":1100000004829756158},"decimal":true,"detail":2}}'