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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 #1100000004816917618 5,187 digits created 2023-10-24

Value

251845684586999479809745177317498438733157152200407861341763217800176496112869045964722955595944318287172131750267792747716865455891196615095066485781587733825570250989657253479288880319662228011863402036859056840820171480764212403523895561568184059597730206973029901672765594902635898055388946436243031658426571831257496615458925354486947762961647270365910387287430044378725719451448534142685969107298734113117739563212012039559236413817542417871764281354790855152722661836298406551523356430024939149762154293590282743174280729161281795006631919185808237541687330795441122964238362272115149918654340101917889114685338979768995141905992801498494756682667696921931392000312925183918047344693740426997634832819073179614308752294940879057062007535405275104463507586062545911869160004257125656326795297754426716591972141907475979235544843375300831088231164739113727000923785092850064030552642200275778865334089261796134229343363878952373860909771582013487200864316381548342399437758101828937856635710590357796365211669906952754273706722001827592677050702380466642436378766248038683599162195585767001786157088603692550793807738897410948680138576346049008071761303500021616873469115157015651478402836855428628869071193464410645442216578306313941128828105512300133992839579602300018315034257259342713077950342018324465512132120929996122849645921325105459435436539638263528444298299507227550754290761806265900567366328619906996478796925813571760163841385953173136504737434462923630154559582891469236316079454693851059389286752760567739635613011418752308254300160506654162373583544427765217596078581012197176650292206876190897448738994171276193463198364667025300379107924352401825744546539396195322388473320151058964706998317474390867656851287062232114852615130677414182717630650740979668209914693642742763334119883479882989430164848644270542457803297550360146186089577372276041940847109746163298497972270969852803246929443862895601291581287821048160604278882444493879198383443664455841608378689661949395365180151011428777751217216693877170394656466673659098997703779966904718130564763776126216574721494836157195387596130220787538228679930215905388661291503852962708005987249404122631188918510457510239488911290608561027050950335048621667871211389451757060481323519492075376608459671304650518601315726010211626008891828059804283269327440919770053465426374201155379393921390467050971594770517445966597356219604675320300533271935784761598476282194737344460765359899056798170019587975031100522890122595122893443457842929715261700044994726668708606894537275695903646278517039258929395261577707947942735644540952550470839364426710073126375734227665466750286109892447669731784135310051861807179168118845127609901575035633391507690728620741741781144035997208734277565484216785388297937487245130620270464261666502227404506388936973688999396059680525014468345414830220209603462083746351607764587955438843820030376259485920739653380091051719503438775600050207856076940422916862925791941400535280391135499898066095720690369820294482040711010745925182343053010879076116049190247506003592988582737183624838770119387841763236935945592539649867316726708156877581916586380226588875731053573117551876420106060168052034020187698536232616410478348588410183807980275679367677407666203330956584915414939549632543567708689545349066135384938961945134528468838153623984703823177874280204406502854721063032406659262635738105781613237624889683542006168485564508732380307540887457571749873989911093146093511822870145868533165319087833679190997145136648132034205634684024103132203768962035406520312741592585016314946635720005048365400063281041994324465979318506524772361507039485557141131273310826059619371179565386225804986427056223514260869183164301726548342795990227748934592708447969948053261950768733488570921150131216100238314910587719797394902353053063799837526575195600658067690553561144665203713101740173008251959169486349710477765373178377556761293423838534189541446969193168759160601179582447498492781091039716986886217649575149935192149636747520090552120115509846716966112523792849925791645817300024522410432142368680568001301128438021006995470316823187584029125718314293946972665956615868868800513343508371669896272436146636525964503326355940955590374437843591911547973829195629517927023628395723536294455904287920511558080668505747556467262471337010690604161288667887723603340659849830251199736382764657786772360784061173615016387811730601797148317413392242522626501519708586073926591391105950441163341504368121699663049428109404792890806378126114174141045062191829909047223401647515401246965516495930710119341447462411133451745288047320102103646029171813481688655334991160666312019938189441974394416704568539111312185665172110062517425801683596928563045795371557226874213504598671257019677314432735852052903378435648901584812084054375413790870095126547454872252320044249224359488788163923339863065302408635407863139607385448714677837148869867107298914658878269336638851407590386771240613055358168320115253504848869041991036321016814702831727020113439883547131693993352446581180185164675056917422056855185975951617758262169134517647763054552878256466082483817127849970999063380694177275773669069154741168503429
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 5,268-digit prime (612 intermediate primes).

Certified number5,268-digit prime
Certificatedownload
Certificate chainshow step 11 of 612

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004816917618 --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":1100000004816917618},"decimal":true,"detail":2}}'