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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 #1100000005812658286 3,151 digits created 2024-01-27

Value

5100700165932254586713540648914220430556797012914742599061591255629079684786646736468839780035259510277779175993569104289997767598577019013125163021459487402537712074787580030341370894387971669561777745222189254691665025774159951802532304684342821405042091207650931531405160538250050128286141120477679657287786906957338017061811744185497519425768219066156767941462038657413104103244319385763397594242292113984951549377824896600132856522145266953980256790034409756574289209666771459471680230584392763086839452697960655632736897426343119987460176461040029672502164361912809002068908529560372865950836940615815475610554773953359328077321509829897133993846704995003735440480441387462898981481829493342782169201272467708801581200347843854874995584531761209443875623419935354866911778352448201542981168471706077491556539062324611473644731018208867524192671852024659709099075527648909174635742116281214021450459739397711270471151426468721104115345961285290049394075997396552644134558976748710139772363282276895278254043656735181293740006947206728753222091153537841637206011860544824230041405396660615957715242662367073584453406926515042704237893624226542684909252055157097589776041887784938123034510279344736701174582064583187697364598319291177362899191592692780333262392164415337567535059685540191297596747277396826586948229723428986292498273250956672311710455243207742531350734578171401031530332391104426281103510184735532053170075545126729592394697268367534595558530381671968875297484184156346855865486868734940947117155472698972248468257991027829990886389273142565637841212214012813202125297680447903408223946251422240387262971403599005028562916849619790185354052082525936915993224702010936728396327467721718015840529462190990702851266799084773375891590112133425467951947680272385539676139559880738258533039683561563889652243438256915761733595677382302192620759801914959650479322649239472608108996242222453936790850926804213816684473548682271923099259498963679931807726053817341521815348867557485469818594495903801097743495768293998929037559621714932292631602717323234620789665192712955608280958589968414133251199969001054359048046439184099435748636907137156130388375486444747570757165135392791797754040100912368949522659431208425691166824441087761389343854163613273001356485771572318306057727522533417981043671810247540875414976771591710062888346986695104853532287857997533422326199594665447679161167820912987138280770227328196236408554713762797161722975676833984416871801535154408605828103700090812082580371827986771526402836651817562624728205838974101831691388988302930607435553800721225072911702267302290138950007324447422981932944004820882339377542559802603557463931273179890505843809041443972330053212550727376780760105720953525456318276531176301933344148374771762274729916969101224357086265039888344316313426188239907190542407670411371321450886383069106682900411926654218628391400089743542847416829634056636230113123640270913505476858088820074054056584011996584235552688238275646574225007431562408515717364219996780293816695632676624955625806272110089030407130862458588801317107250568527439626861988728406013345833386355484415699138740958209710133
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 3,246-digit prime (164 intermediate primes).

Certified number3,246-digit prime
Certificatedownload
Certificate chainshow step 7 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005812658286 --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":1100000005812658286},"decimal":true,"detail":2}}'