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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 #1100000008659087244 5,337 digits created 2026-03-03

Value

212914267623824235533288110022513116702284146877573390850625405693941769454490221565002349216220448188191507140873086897905906187413166955761137178075325879295388210473738094236995773784119927047001407240840813293715794989026742713021653969796538207528220048550993364966853600408169079690327719191120720306253369441543540880681028075009173155911390403183324339853828305143809531809043854830594926973901695394783430030011538112036668760696927934201354022635870956940823815649298710207521671708590916790101906556765513518240197681697145370393075651397278241926059960643880533524191207434227675356950102295452385580677353600812308153865545137288888568304668615417297346952632787899944608031854269004339801760975086937634552471763217126212122609894946160504357515137544318312299860176608362905694679949380724991037829563309793229583719985305073123312079336847410568634131367734032299426308148451085917911497617437528986278186424968497278806072012586233445526236191054001626921808819580306842220107857908308568320700067372832450102626148721342839787564221635618586037566305135447843347382104942214370341884331135011759380161250921914597373531905690656647271678054337164840032329705672412104992674961858988013937536785035479397378808991451739292735725865588024368204496761307002560843606758723325739457972733679842079094063908819089148179425649199602854473904202642894376348121047229990701843733327481254856446783149591082753186682797863238861641110761889501694735047378553241161927571229955343652702180427195518173750688644230908090330626202869297655168357440034927466197602085573826834952394612195864686376591228928613759885965433637086847929505597097533193913673695127467389706981563025043730849824027570044134768618094970919119439450701022014820817138935789393871661685300004219304677059126661494353923482078885339111336804433453268486471191925068320392202320368373907353502520232654388991028053250926005761294252706576438520416261116273815610728268166275631043281866365358327820749005502936280253201076561609331674619705487895513018404627175814816181362269000827559936741604545016524253951412199921165254698956171727923602832982854741777361396215432754091653973154344677710150596439912812346161188630576368290040252919441146106996129007340007562942412536898697216099192315504546386206820422792473887054095155374021236675957026091000015193608658329955509009391401892728610267549712049582425542777347249480143546577755381897203926313858031027155391235543715448632678478792742844555111555401782281092685809342363680245330502300098138690978301950329485991285003316600217464934536011342233034697225890364582485520597078597914047990372716455208416956358137881757549356044011194268831695232311089478586616057879002147180835138849156463461763304069875295349674888329546916941102805171199883511314759099116070665477060873151890531224845704627194475615892549719037062172025371444902947542180775608075513495128236815138098204799243953938356665321141611501140383799148970832534761437566538931056434523357367299122713358265591951595308411060946916206051777092160438735063871880045473887063972325559112586952468703750005927683409323205098107637173787467310818241819458680428694193194468689539955265673649043756596721812029822936304766150116928883517244490876394478979757279725428316125874494406910287169435840539090216382193970086432019623841412665386628673510721002038541856842764035937587727224954574412696747041521649358306865494312027486891652186895993237354061522387588502901918225770675715817897581479351006217463952254094756860262092601742486987524794444960329511310353345967803581711116438845163392676690858721322346711153538290560387593441795760348328848990741708055602247081285443463026618879756874796789833764803964920163561597884584689051867465266068360073128418192857744965494172914858889984644930254202142651586850040959946780773944641496188374525711878867366310175064264500872053851451675523841416160966427441075001407725763594881709415008901751285337551981101821440090376103480167473885884705083090499493923365356127021894599245485445699626526099023982446183423677733321294368215022598746477691476193056412903759428651941250984585307148541976819523631957303780991997929872685822668186608576848416736821847198692250727538138783629059483549877716500145895122282242945481957660065581447547759572690736089475308298257465300155311870740981450203669331938571885697436097424626806498075473768685801443133666827047071179738589050937280582088926660032629325401543399321393874684971375136299488805188567480027371307945147144159780205905107143777306429268384004796371642319721428259948749711232535555746347673133670485486919473847912513456014625875664723251865794591575401651652483915295634948541553727162700103252193422635991640906899305934132978828135369086216392467099407687817813135743264182435501855252254869044113068713300786614858042626821651844902019231010518616557713782941499344796158123453583210105272089080886847762888025874165921395910024338434660073765478291087518328110151143344814229483715846964745531042844823268729165042412388672421150072361527673516435514248346111308165329937435670740830532378980981203600238082156462493196326533738735064789512357495032033182408752733822261540959536937689136966413865615568003830255960528449580953519088521524604720992113999650381258993749278722780272395244059718041942728677557127394962714901
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 76 of the certificate chain of a 6,385-digit prime (412 intermediate primes).

Certified number6,385-digit prime
Certificatedownload
Certificate chainshow step 76 of 412

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008659087244 --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":1100000008659087244},"decimal":true,"detail":2}}'