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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 #1100000007734453022 5,182 digits created 2024-12-27

Value

1731098125867885963610417906259520378503976027397927463211438361929918837725147667127669733286433538636183338764060206178397795814466259499509785475383335419437044765928894710787290198521566182638560404945713513541818544653895584500625184735831743050840681297899668198243581444312898882811327304995056537959579536213792217433073760976031960270897056169327760189674354113947097819560157651517910552259752375664271181718388143062583944847420773872558258206880350536633072133541340711811557632220012693413726114768506426397875363045967153515277006250601489559484175898421366693083587643979325441450253502658266860871157883804068480322258415662008833699813928660746887076478418671410210217303853549493234459827795495740098740298403949922613043411068066199907389710228646359643888761836449307313994871913484459318296170928788983199528078638306825218744522155447165399507359411122612125960396827137141419214795028889496385489333916963299698262281303861671317068485660673078318846431934799280989002553249877231069850239153973633963600588913912297362596626597790466334613355674174766772321022641906281928160296980001887966306809135834591314364122747662124010532854563072694498606886060050983903676788743366052759694219307412852462583907741625230356086758347883549282129374661362916915260660809834756774994691010457686519128547426127242666568153389870712631590443541586721332438911511162118623580588583375238527462199239123709576559082116133269703306745574025130690652420768580448038827153901416997865286073825160437209153768562755216443833674943911787685443600357170759588456359489324319255045421162764284570613008471318117162860809714017533258489390038006853280529111410347433263333260403019966347382348056566363357129053000371292001584528243799186037517020850963034852669974807612480645372583716503683409448281446376421213199535589793655058873995871497383813452083379357442246688925427038602406544114629523446594586049129175747032205113349040362586667132554990603290344921692484678871851105763699583002200604546290933008096915702213492071913662745397903799676113982609916398530646941036525756270057028247352633926098231603667422732323689759939724126238376923589368857224005035983926819352817490520651533939616465345859181981473411757395429720634753894624074201791616386966487402162424103795265544557829087166924735941817387411009193296681937971247219463390225721772958328310892294927655183048044380265243626871405550841380821274123971529619204362013279667445350074034925919815023781425730623550527570086014783729653308539551153787589177209232418949113935275414765784865649386838996139748961091740720734592345859881974184429074562264711607221539751044283226451894870297225263525556764940850030653843296628087150303972321027580008196679168319499229749936535439660185549979473813684090220305958709505177955399702379778034256904477228513841791229351622324760233640728812812105568719332426006458371981096627841129852696031179720046837904178867769097408700004773037902221200200507266464177645817582532813608809641714595392382452936224121317715225316427385606112201779303479944687173700614252956546835925611963060213449172760087709713300583865995684427764513065977581339428172183320003276701976592678356065824528653380947548973606055788190990436137217412990738096513541802720934377633559251099720831546336347802678751095862719784645431651386430999068399112550098264990686297559209489262332366312838839386155504925430525476263353181589921212092031272832040467537662174639975410247191615510479136533399032224237694427931904893757828086209212848048411154209938110874017390697849522416923370180461411587012228010715585304810246676912855744147512795414512523560030569930331816162474575303300540035055176789737489962188331423336251339103502967565739033306699400003804123307657132809499813967295745485281130699994969069757877405481767556057710061585923959820405820953195262830721174645045261082713858737013294762188761320981169674719657087544719420490865495214843575962622329143569138585232401156195430151197867814800395549493286681654228449199838464419272023387682256338532777434532692708164620676885338501201730176654354266344580010168393386724362735620972182855572043929305280184629549982647276020246912508714010579380516799646079642281179505722658849442172752473619600517078180556997026384428965517578369043338565831566186197277136566624926150005844491056634289585814744839379093986188831921890084138181985326214913490118458425028569170813840329368386264029104547167883288160782991750016829875366356800599132647831007112981299624370827475842708066868118157689971524047803856948299539538170128220095873191522873983126878681890055794738181746051474925527009340086194970972728200189477783833015481669484502321002385012564047250829104777531506558956577950473261486920723761238514230207452250813470473263741648449617574546788176410331766718137968009657513509059291156287447178071415414322515885127334712948334173337268307659045462872876427847239550875122623462748755825994279923737498776177668512406481999780637834523944215616948642582734719219133434293362257562865260724362642306444262601853290903893782117436896153151351503968593258298449566857816466878793873647481885002650059214362065906816619710639
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 5,496-digit prime (519 intermediate primes).

Certified number5,496-digit prime
Certificatedownload
Certificate chainshow step 30 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007734453022 --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":1100000007734453022},"decimal":true,"detail":2}}'