factordbrpc · fdb
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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 #1100000008668726136 5,618 digits created 2026-03-06

Value

86478018607785486325011431263863357149022025341172681039815484740420933478587418859793316704876804746130407212943463604545689207436564138348984971458793689530068023385010165902292949446584664628520954915540620348132516855110931712869597820773640207453471511776141522820283191246610782959545086734785935721053768499444399606674432640746890316655983463162547705784471588003237136600734923012245827537093422306990945408118140465838268743303803570072746951762936736426869889936995064604770841349519628407211185478044350205186740090584557918364919395755598352235148986705145866294443756064394176387836049536782747294142080353900361237128912847582964880094536028818310188995228014181656997694193764412465824314387833937934854704738791477859440434437324369747523142096734916426793842003829310287866614039170980693236837386644927943948213359565233853917190253620220572080453658160190706120896451876309687424230997953100719582169106996342695375305899078664726673498427548356300503635737550968972584073121907059240555289191145794963034873609488684576302523978712870001903244676304673325754431710662460008548744794307889960389288491195971261236365655720122531663325121301781720131587691174083213623224280709237139252144491629431620500151033307538175453402972742525446171469393957916225586264577009714029704158284280866802147900517590537503828238525150814188235549896032030537926626022564239101620972292297659173728369245238494036872643733180094981761002788958814486421053681219529048470376763898165123973748931443659689801913604175753070743722789181653100577273913341750426731505232413252044475699654706309727811166333474594796484016639193210589055640382172154629432433015048978820682033261043910044601239628510120975698389863192738246036424706877884675715094298417828468671016673930421922000320005501390009482341131727417996042135750127856595428827703573401419537725192894201913122313773328254398565452303684678564544477313295027371331446609235396184362767814438113373025768662768890728905271109946036493037342091567941725261571817954934962263314259239789498879461778680655764870382185591832854436965955329391677258898668611742208385063754909312403670941401516872950304908483013471799757317288047301376305430993262330434164052529005540082171373895356748759673488328824769846589652554011618161355864118349545364425746803541919154514747513682504981242557958198629867239804966044301885305601145749225638114012166990772935235974954730423750276123848162963367744613114347134085521207514211363670055260336656457721254160477917666963370448705416849829590891356912895810522947208542496100520747046360590290671783791477958140008858798190434863746424992703366581898335185406911300705126664432037928104606093075263257896498740025511167904502536998399330339313804330172529136006728165479243297345093260704986789631111442281554810482201670326453969516552656870140577976934518939651309498984283071467549540308854776250749308642414428376316627986751652773968616249497087340019617780131247353068566253610153304104098825579617570728411114005600892983661192495009549836647527997611056708662194563958992923358271979284896085971682316536290526722791254098065811331547729389355010206033664321389437622722180791574385611306121739766736194256311715172459439231399126936336704001513249630473306195719383909248711505320987748023764158947194285610884101891274404906403525501420408467032838918679784170131943401836414047306086218900801131783845552664841514342702605644777474827384944890522342004926009450186754343777213672660911123256725425126672314444682327892087653249119905857525729873054707985579842801802694388968582442109110768320650723616650525075201610890785008282240765229145727439032209737528044275104791645177795905692435569797582608182101210233523030617526306159402809794518651264361276125722027875720137626366355987338685941451797523856062650383993180372862642738444035146358154872448942703978541216978590278961606096613664741616877723801786561260383666229646421016929377864349787917857290663211831808896136977530930740665447405580692543729717219852875663049768390148868981992765876295408181191598475146106327464720728449199568100310756721774778437870841223895562117755260037128282513334248178885910383947930940649435760997517731892088598164719844329485911918693523173470016706492787461327264489343947744230160016235950722970959023972690176820952787846444105335669358987345806064970747537940762473663514782244181796308349670767363473969816408931575781467672351550794835204891743078307641422545440070395242517824682961308691808385353160368626014178892633450975304759570084711978183955961624748351904019624973999801149692053575366356402089960901913968177774210908539115418727951613620773856796008789109997855659699431528673993600304997902419768648643127085378703921158543867365661476872059071153915401313692984843674944711827281397413054127085614913243180945809762861807390398585156275106435279374013698942196706328849560209965478314783858446784840072664054818817908348106825552408986368753729255967483700816736312730384073217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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 98 of the certificate chain of a 6,995-digit prime (463 intermediate primes).

Certified number6,995-digit prime
Certificatedownload
Certificate chainshow step 98 of 463

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008668726136 --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":1100000008668726136},"decimal":true,"detail":2}}'