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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 #1100000008674978686 3,313 digits created 2026-03-09

Value

1220639734681780698730756233748173774425635993447046929455928842283947620441769641077030814806929810151459689538198402047098460875628741928111888517609017678788119691466719487101534351633181550669833973001059791318973375402047811835392230420698532088076370149744221607019513383027762157938345946234887424873775927818316830447985841514912904549094969998659473606234139162824239117739723017872825258181596826560344298181870531413191353529897342868741879537646420263641927678187306206177738493581919689979445407144555372037783770967792801114504932051782358548574645759776795168266186413842052813632098539648231605232728245308813486353894902853492487484725292497943636482005440813556558543627999935843796874945570216272466835658489580242017365934308542720292771498685078593387097351468334687504260743300920760381154546086161533092625054738625886077096612879114081420707066715310924826897293707880048205187867687286086207772340193873041162280891792464506716431871483771147037244374320878120068729985203539952927441905265800239960323444431776918756736954746186298412612682451283250296491773291564579930039164988984043613343350107212602816945053142855685768530353269503607229051204347941560955857632460377111928288286671327315940300127386628135222570288084403207247240437640346143817074582727183464222119473694758249047363752418763990914975132579546749422677912662260251968134089737613225072360293905277336952547467475214027648880564265823304294610308288633747250997800003682822474646919776891954341176153713963093709680144587202834655035012472636312558618700366288084146034814019594947140209918975911318722565152187624576629363292448369328688709131733949800184198990323415392832335027282759265385623715731784732724411110072691906199590169652119845553766335923711130950820409736932418035400326317013452369089400556623608476471817664148889084646750747210428424863691617679433623911402319859783023458794746673925759099108047809478183059304674654033843459632636715633447612589722380641427773802342135172452539238496444014633680113894173643159293798044653274945743139495140564397559604646055158960500138619877529396781982594470007454465750482394647179558509524495245203846013786357891265955796286444662629939645595589995916467803884172197247758012691961349638621873183180657148324667613354937591695754396533729801510058593286244039064934276946697557162885928371449991978741243337349819837339246995770907745177428267066405406042714884367077389644246390935393691305893275165723257533632287102077976950158333931343333092799740814880134038583023386709215682122635425641228244162225497377491438024753510422499401863555835821623281091044582040307256264470665111447218850189597802848803444508302572095056433328224927642571119579494161198108311510313430898411402283438894058139427883974524942419829533855584047170196125861230110041990806481245431412789376178627751549665012831960048101604809786808611392307051210913959520253412220559940540861899833974483105285009204662005753168207358965531701409354261127159453633913749097019695895779111707480558900144291834602996573249962580145637683830685981934514091042724154140735149713164020778479237716157054217326403347104971712229420136778806150308253412317742173720462875370239680936261835338646358891741092733144255915620561290104387001579540881525398621221256689750589430332183837891309
term 685^1168+684
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (3,313 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byFredOnCyc

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008674978686 --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":1100000008674978686},"decimal":true,"detail":2}}'