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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 #1100000005814643405 3,189 digits created 2024-01-27

Value

854283590833077024062886255188365967519775974545684504896331640217849021710429988551013433382135173352083540043995741793435466541773925897211117010682113364506376430072008404124306259538897305771877288781101655427606714311058533786792415301218978793186999479352454429863912788847370609886410439806272716323275536718963931032881925168174078311291366977044872367174972710862365773901500699039661950237898574625872035550849640013890060561928104747848309302430904228066726874071480611173330990476509716056456034762227144171791680648433892913731713445602758759303173547523080228130727344369615572514006807437799815846387268241491966870596530341843345066173358878977023191649799441747894325262544386344021524814071610597510817693509268978764695965929877644539427406915977034481414424186122079136732249896043597362211680995709013365273528748475944428201296718117570386977158409736585408512020138031110283861996197596163854714755081551712402816787951395452258942917371401053783744663781092397452580639587606061152379759799047424399970965298695446426397940355122823190694975772076544936772707504203774669216609991853317940395778451628358765625569851172996091201762564560577017424652648545380175274078425680590474152425272040559704092732618019710457888579493858005623964961691621235952762140313926922356908850856684773338907795025295479567804737712253913006544126623936406523277011786518555194709467403662779760690852343394588551801712229604694880847567901287382642088243850572273444076136991134248947525951777992550250996503271188536631272518235860045922131317938962238465461416774258250489737134987384702098838366071157931405771117005808775814482536022542096251433976323111563036103331176512413607673223568465454273915582370998284411708056540341083881862766763509399294996503139486687126381020869117251771963057882805295802526374107286006424158119330489999878602470658853826088062975361099582851741661302882367486417733873356003630834242878243217772363297589051247841670773726277559770858308022826620919912682941267770460706164825870889574664177648246877799695441089764269831549717372426555748396977254828178286655710282190739227479726466359332684391120036578831680651780547030762017836151279050728303645540667041695197306461455156245147773445446814705825996747564856298711553193923050771285635968025522799141140047219623594721844203500640082635092984852203355996995853242158191092747892197989058837205861252724991835723803549935832784373251830072443080445135147211511927168975911072553682514506214833308954931594767837417070300852386462188118209396102944063466931631312989281217837447060068396633411414165556058492507046787501349458671237805003039259885146147844874730501751313183087711835982359609164308988519385874372619488257836632644940279189062550441190019409655414082680701785655043820097746175612406004522150763289638092361658534861874364986249434051781804842971977746606105800632201212006394253474963309768747355985437616436225184819482890023156560404547945539807496417012697293237359897537219330413211469112243232844790569047793589798770983230696710205607415375718319921625934847559264150770814615852079868636513247012016057476572501446964190793390089611207139654731222081996813967733517
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 78 of the certificate chain of a 4,367-digit prime (247 intermediate primes).

Certified number4,367-digit prime
Certificatedownload
Certificate chainshow step 78 of 247

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814643405 --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":1100000005814643405},"decimal":true,"detail":2}}'