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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 #1100000004851444487 2,475 digits created 2023-10-24

Value

257869072390097849123199104263783184980340389415640895428246055377708906970536857577940458242779895226198018944512876901722321859587117139248050818567461301118594755406640598598520987041503727523355456369283595921759119541115874968157621094044496288260687906265764726747015582306644709097624372319946401030781114714877248434166415571433239966315144422389569227870605573961383733306097858315127372745973022631980385831938014540547469969136204931514345484189086195212646162221413300456205191342511515393833407627128397541680648035922602313813499197191966721511139581941670798521862552327811297701405953154390431526235694958651916332090523156754096736679673537864628291540112063952129657801613405238574584929651381207736999787634491461195132040673822769235501199086698431200335094622452178792236345094242774542434333875539589906809257089022565143337156027948986271505980412247024819553127150053808260250285768397249148302784134969023940919525734907818758219842498107386826976668758608837144521584816039942242891259242341899009332786560053377670661237035735474619817789062653170662340412201922318412216558349193776567503509904041252206036470885148919365840574153410326027618538456690863742856654241748481891413855026668199055643440446538893813698521025926396056577149218614566151631789169658381056230883855086718917513640051141307335189458313812300561175503678047424028237797910046231136305223172345599339518469196535732665761100741297047810639238939837269675389975301049179109882586207470229030818250929772847759557808937540039772974509851144989889067916318592207089937523354973757773068798986492357012557590603062320191605540930859703317511901974445821917736018907373768047013306245094755893477758123975259600266950901147777080160449027831917878560320754594010682100977631281983720700993071178728767429146184418285864441256319605192801888021487088445961971155996441429060813519958462916424851379335813862969539758570365865267946179201322096264390634386606907417790625452468753308824890171188895158839289236883254625401128615948886229630945487416261547117687203650743448480782405105659806460737135412493071974128628348533668009704876514460127961475254687409302061878289397697333209086965048022733384059516893761642621542095940719895381938067001731294436022661218530163989203283177732156663029123290615948942695731094160288407156961534409268860242931417760868129938848516908763873862489974149577271231288486470656131113266304131955788018415253477693109344677935243186713525862121
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 79 of the certificate chain of a 3,182-digit prime (407 intermediate primes).

Certified number3,182-digit prime
Certificatedownload
Certificate chainshow step 79 of 407

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851444487 --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":1100000004851444487},"decimal":true,"detail":2}}'