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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 #1100000004831644653 3,564 digits created 2023-10-24

Value

559393741127899595571157916440030806173497422206881842964759532428071095190654277393834756842887444245240947284138985334555453373126736248012883625261568746077613915162798973476223704573354800303580379404490137324926382851608882001096027492108638021686941707318928768925869025674900407235227208647591757192100031000633061602712042876409592846575370517092506985839100631805499434056518315249916028234970581318683677036333067893374928594873060268558040031938725056567545103433282805212543755034495390839266574406551265265192840633369140297325441124007524562008162956974111903023629935987086721818339122272178427847135608596373071764396955287320873867957745511299734404200951806911389319482143739469695910761682982204008971129535029525421432661671156326166525413689799942090673564011956033079147678102955385397326563869398268496671327090039760670211636479039612082736850056469301397480319440730348869471268674714131223926642180522970010879881607496776863751459707325034169232499126271857583236985662407605460994153310892189894063745022617903071057759191916900156784467398928572204771987445507052397822390702142196827608657707759412075589106941410659891629493490830739329086380207837625812192451651321123316125727817523660981669604567188342289377297073577071177596605666328694141035769135070642900306401164607731567167858428094985873732070508935986220587193844664337248946468625634666750918752233107199776560387434353834956097840675975797049188976529195480072730925645112678711029908722918888324315856362589215767199537257554349532684629832921629283308117543485292677465241865624733493884621457575825107181862041731695838228002376572632643597635965836494877495646530704761577831261698379017278553582768480044365414659215139843781285315663324541750094948848295716921726550370620652732964478747433335672453570531566999069700733850852190096542933058418399421201572834657072535625748676022000595372776580183288561181393617824198208556813584792842094472371889364812811590240260827880414783264411955558770784149472207175656243626857795001949361324623998602958599592804865745191794778635459793867717833176230802490309027666424407923623780192133146013563213679083241721445349345952131195819233206481007896999251132333198762336034375160542821781872560049358511558206945917471293711774392741985904607918791711376253156942357308428611158199542823185017860589917039443385203503910515383359566063224961881795458402105339994813860615056582349229855417280011710896759671225662387481404024315393214451377333711722477220258559562979369523298396813080737303226810189662750508140209560314380048683247651017855182699376367634314799698360206387544529236836389795562238865917656758427977467848339010410704701372692091251200628414798095009671893515119843678590994224379470613283546385667433095398006741370670075801055625739565188861175820711744107240986546767154803136621555061137440432148131272113227344466913783876981176499922338621432405543802237399333494325760838587515598101835015097113013857152616371582533870098588175640354753810469642411885763685745094351583399671826963976932264593823817178567930891248521747676989584309491058186257695369722020899874953040166664643956920772047660878477867364002529365616383436066909386519868619718228249108973718247522201822403453860025909729683958963239129805824062369328085575054243175088344854322089661321524971707053758919393665778758265795873335160637791122654403669910810943405003168583945779600247629321257389720268386665898062784790966047469432248142140981112261867887184283487926749214988502475246538447252520388399710106723687830027712669
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 3,911-digit prime (465 intermediate primes).

Certified number3,911-digit prime
Certificatedownload
Certificate chainshow step 40 of 465

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004831644653 --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":1100000004831644653},"decimal":true,"detail":2}}'