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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 #1100000004829663188 3,353 digits created 2023-10-24

Value

13451274049644068186702901727520612433197789768517998619101845916125128504448447784863181322805140399019009685613381220638188289036165373189228866578343773990111249161306195616748335496813410496451532250757564711166881569436468951259102548822912772593041181597980085421041218439445421799096742675318838910197200861099865342135413503921140174999719653180662860689693763050737573761033040703885940043864455960178951216315667861177982748155238447049412215529647554582655991469672676696798858796039636802275061760536041296318602155261732465765129242847093624293640058212649443760669503033064518518065811961960123961314543359442203680300430284120071739008977763908136795586045745652630831559146029059215594302804724496125964322016617944921566059094826508457947343319430046836143659873651585806875430509562578300947431999263773961213758186405076951509526594746487352876524564667457470847230992169433842911245525754192886231475583329417288009891688048721939500954140748909918377117513333472248053878252473140143791848050454725000096959098944311847088165501666006251952047723458528183772274930407108576479522930632860633244226868041755373502879616591021505577074646264057451785830173167640076855868084553746349484360055819586728034412557624852874956798403480812357347375979934654213823242849742646673295601197046545592137586370661986349682947812029371440183319369182886677235500550599425813542460134028426490870540068255132152638989062043180169296631204371792661303170504614773674020328355753927324922828088100686925834450257999900072568332390624412270016426103138601570605021398564842019821598191134272646952533305136876617050777534774540875130356883728873312945635773831738522095395852871013302331452991143409291620003776305476536386575390826645725556704217980923421728372888411285769464161600046074792536064072936689739610119185299931040973526131832171467668495460809362727363290707703712832977452469252394230597096515963694277140917823563351318443007707474665148010949454608286630840092312800519291408030247955371849407623441972908283519191941979246203778891711576223936143898890914899908548721586141449551293829258287224692745168824764987837573323594125481797479448730022709327905472277633380997564094356460723244178813274330369915875521682020416427334322957205917557824218239753843657053826063686470841288037928943861096473376568688483407610206423893338849592343624561148237017436130475443455980718510072921771087769131134089611731971101627938363439929666082542358721929900577237780789137771261623849124725772677575602935998634623008982859764669722791027691696983636783193892585634264916952835996110624164734960891925102420604543307670138760977610882087454688016445213335350464578786304431429862931790905818469711292012431543688036298252815267312309727356730922385540847106474480616465087909755859296689139040031204727039211496815823530895755389668261745687717406521946289335978741674144474892270218277710844378748237435280066144172768202594872451589297610203585489451568848527855173468304044676289972980053331529366067760566911775560799862326617666384133412752599793462234803063593041673433439039866145296784897234164539562654867186435260753383105315382627487707808464914198496171973460688463679766306959719566652296078433597757724399611739631621482125714844988748050800709620828523595752482791187086440427020574526004753990172535231379717099198581358241
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 4,007-digit prime (420 intermediate primes).

Certified number4,007-digit prime
Certificatedownload
Certificate chainshow step 67 of 420

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004829663188 --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":1100000004829663188},"decimal":true,"detail":2}}'