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 #1100000004825279008 3,980 digits created 2023-10-24

Value

45416739293842811061803499827609627446853421876965954624843840764919416733043977064364973655046930345324343352799391918249224572365171692421518957363434726697208674527697612868056156956970229696071859951510941945635914651452623115974275209645425139851100259536674151640789690317008657940855404086507328880243973771399008547873536260763198921761249241467478886443044507488218568869743078709221889661221548696364303839669454580849793984710133434133317251653793567671915614747834940673670405680270826429803364981802170895517292633879126915101240294751561486238555192975854602364529323888268063080872359045842157174594675451602639242803607853196934929698889704354795045811477435011689667109161182496845529107778703401421221359915251038090743379171432357247955607869933098897835200703269436161528808597436870957728249923033418273630593620282477134201943801552491215452048152743331515405578126139573424442432749866667727855786035214450359970760731901368025579583879889153443813895156205355522239844677152771175191205193035331354687684782198543883807854128490880286380072905280197844583008769521257296011034424252024312931294463620636401912493756845935573626252929444664993630154133681356620450003764804701749927785978759207483247693093452964873167340686803772388313625002899406758679508773913814195588043007374434306076463605034274364758365349125218472974052586778610767515740257955180653746854277654559096732230584763279553153146462813290766556419810409875238807447895636925085970214410534152551526668361554557903393495555132840797896387281499716772978946144588906076207794818000514514595754576705045066082261289680708639686096958734633591475835291284118616658593613491849112275044924889308217017541268997731938116952798203667414180793236268323823640218132842136893986145479767730128160625270436461492510669542890955311400680599728700065117936166338721394174892392218418060343534671040149005928352540937170228216615595023670931307828254717777567500282531242647452103841463905990567232464092671699108954215494278576364209879692254205854058108749650916906381663607505976859506830397171969974149154933013002034966740001261704875669189798351336692229026281052547580147629686504294908124466766099256441802851936841424987989796562344131620256986455212730484333900364087424218650933868276119866863958431562002551659165982711749810223969046639522690230951805264743103363306458843867709760299342442459279632020969756131273100714934233441241062617081087576059684580594514947935793329630748683670739064561137267166984949656261960188110730164893525667496810377199117226202925982084281614968765601791039336324905478416043114328106251023024349836777452801191160255542504608465846819385431044038557519341617098653590291868652531370754727074868669509313849592859262725594840539792833587224015029622420636580421941395553007418487729976516845805676099902879692287587352815462151598433016978460409702764464494940980702277023785877221107165538861689231637373979598320372355758072759391905190758266089038615638778154332749042096844165263073210743088082323040304417132698848898932330756571426693779054627578500997190769753068170797381938351152697806069918259829524254000997619412600385052985846870602399684093802702884501849417870650340820047745875220421454781376858016548002331422121171436231008063805602766221387232087412324596346095130247513215720495199304531195283655304015886201667068873430300021987821740388867780168251215476361493614341467096581121437014116432050552846180146337381932081047365670985125127940477432387586821921850437307331520211054967089643518545400176661870233158860594654055074099326054957102823362741588751115260899267139920337258118800874978745466736771958319603955826058666162543300576220807966201500997931571707297359053445826111344109044888130573332020755439884013963302993625014985438711765585512641282846251300241045901308236496243524057762795453039971031719761400684598372674525392908041107499989482608704381268427699713318038639559996231259673452398559459025725750030182263
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 4,342-digit prime (519 intermediate primes).

Certified number4,342-digit prime
Certificatedownload
Certificate chainshow step 35 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825279008 --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":1100000004825279008},"decimal":true,"detail":2}}'