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 #1100000002991109608 2,550 digits created 2022-03-27

Value

141898323873601328665770142081830300485255635551236361404975621191972219980439299717507892731521320489305553257052544391420206280004768974256472114474365464400030425778893883262411749532167050706901940770321627871010087555974176440477527013968718059350942732370822967041545395996506100654223378191913970548768588670702486947939938606284348673679268567722608162490361654201369189956057446784439607088098273903277027192939560702327877124218258812066017314237778012618778121242282857648446204220589769007714871761681855463293654528179633761783055118055447125882768044077197661420315244115116602547304912357685856905987357591817296973282094035203845093635794075166929843984707240233758390869855334093457733601560942100786004710484980956715769482931096656299092840102494037101316094651933772599663179681550606642436732904390820658799991955563614308480147368063410484659215703362032307166125873641585701332283109433486611911914796848725673573265932611024762644798307094501395801081212291876217755283293571662365471806244736302518315236058051293828517236043326751384417805717839184680231181238108012687202887452091361475980896452572448636239860063177969440986369352413047036410286541293873093636809643162227939281706710990764982055409449464405619438582526010407053120616556511950993785892773479169119154139597301003482022513514092343066163923359351446110366613162885896853733202414441199323292550977388922954415566439506397803891008118371218075007679312790786052089714012536243138046843750362543196725841962265315642991022592566895780052927178281568311672994798058272071162512460077543845558395303544323806621135053134381122559359392650860933956270149336040071542476143645847143745344882375930764979233296299766244043152473096489611815915646526429239018970585629569851485045956025478048784535775514072213298874429059731017112809363286091837138590809311394991098944958078223317688237534346085691416494055416198448269650005359079025244453670158966008872567542169158773397049808578773846477884219498625097625294870936422717053963992693417716402642294182014994224175396196719129859877764340425417640669769311682400279062754274218731083595054034289121520957448547668921413341517835640411792711144463410041423270693637982785707508093470757185800232483024616685002696313799672616729202400090855598468869403860207554810553721078298051971330567862439286730353706866816118621844371029099685745132839014321094671091374813500647976884428880582626673073981153646611707073841516596330409617471865502713701226336315318540626709420847817413924068031632607207042587802436457
term 197^1111-196
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Is factor of

Primality

N-1 primality proofproven prime

Proven by a Pocklington (N-1) test, base 5.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000002991109608 --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":1100000002991109608},"decimal":true,"detail":2}}'