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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 #1100000007100334225 3,119 digits created 2024-05-23

Value

20079228234960246490416672258294885840553630840263211251854301322230402893467681459927479616512871952910695778134925681498294939521677075098662607888708797201219220879881703903015193795357509517200207667641389546451360172665139877693858004026048008779487540935743285671214271937415894682545747758915739104957762474763925936924525579701280056303133637816545329312173661789086541569636743320085771414715395191626767298946622853377500100163238418405329482567613787155121286448174459392557214000806530024133150386738423764237372106550129327891924501866290427435186083004104574132547844382044257756449939295432494466902682336823001308538182222834085455288242371111744183549948463624660618158010054142652975003783942304984517427264153096334627182385128078684297837425769544126634551316934742076111971031799841039324745726358971874780521604506115530493553715332479120685819000346525824767135979360746598549317162796743179892911294814386779810459307393549294615180943767632241309282966302161286918675414477932188471572567479166684756063675103725119204546170546523931262720104806320870139987237857268473487612415014668958206885375294426010590599752462782712170159802055391403599061555385707931871025632612467335643448629830437809066871447621306502405873508641988966916705650581775651810315311942526451203070045452941591076594379263914760899820507184274969239121793012062660723410845733021485935011285445316737543263007719998537532437817741253380860359086749747481248674239174514005315628585689839331273034886750118516380526955788927888512716201159249491236493855704864528674778192020105540699227104094619684936508164442757113569477328202117206560665353592936570243306456844045586220196711625485812929613318187021976052979177898253276079698713528312419179806795642422160742648120017814657011222873461727447377924803206404924514308245638676961096818059444278579364413198162904945921183234933429986534299298591571614340317392893089634903280540422899804290133543227023237251445290406807870781240371726838636833414142159127875769056264022271955156689513188015053564846832511489568728381749108211027045887798789570618731476185206722859364907776939449841979047657992789236714497055191543208199462494789039379015318706340440874518330435496608397159733154433212050423448214374407268353295100331878660864522196194981100149337397714999076379435809962946601252097805864121002308395247678681947172116687482612003475839699438020716809945079256587331938791437013093550770108913301591394724331064458901837498449422979682861989277227773663848688947497202180821801230946067537471202054725909220432840351456827230320034141295464369797376113322231888489355911895474061583911265639377715259846702217537370618553432159714488861434327787868822619373807485793586416982488755045197761409212269156198962425436611642028117905098880742913867939819238590300068469254187221104122552880288752077009498782551265080715248919998452619696639289632822504986317396228478078915669827654915616616708623728103624263020029204207048938240049690126984285198295994373997448039853551539548142035636805395439830989286778458659395504490138802517300298210368144060218643035661
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 3,454-digit prime (223 intermediate primes).

Certified number3,454-digit prime
Certificatedownload
Certificate chainshow step 27 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007100334225 --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":1100000007100334225},"decimal":true,"detail":2}}'