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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 #1100000004813852601 4,107 digits created 2023-10-24

Value

331884980530900375632950404593345601304175266216481418322220831221090385793750271456451467813393804159406208751686691599917224198204867268773037065805536284422632484741280596111750827696989463143527949333766203160487935234427546835159631059467983705118407443599775499976520903368197498246650209978812176248248115288332379955529195949538414318451840053964683990716342022736760460454240463907518572397768286512541473598876660959626913494435436350854185952727167022843595828986205850954477823995914543099035992404881795317328146106694651927218624003727780393102741720059594864027191585114838993457734306079421254649049676330061317219647175095629867871001866943321084305154592661013242423381657087490846304218183929855570043283148241399494275115264804255054588391974098299105881242702543326779628324577032653821437991109826140567453911996079053985404044980649428741463433035193699274533488662551766832646233680418521568821780062027184295635329052908570053094973413303898592434261191891776011707516517047575251200843639552376196302742580351380593590126908197832436216518156615684105776331192428820666510232545923608861067231647146043135013198492591049065235830383641296326777780970755837394545819807135824074953502266751220324215914385016134696333151401423394054903696959192240942622415184665352134590715262771543355475238997345987285336351929670638295696874873353722890583980364127487254999744389523219865821515160104237079958512288879684131342485361979606046503175897951239404331445972001384482281680820667859980909857442355692669733646521466697613451145170295220810732463887231456892511826433166934346332900508569118829232013434782785741830918193860731815069800380295739749701422029697058949847777254453993480837441349433256173088344209181331866498929090784982978623724405139443412534811900334902584978420608496102834053969168444449169178039525098641150177840211103289253202260193950510805410576945029273396665534216165951516123583778671883406359729281826620058256182066728344856046934435848113497528069635435537369802242034206914239148370316965997014983770409166969734910934547508586436826158723031739848626565116404087196733313170819975116611966125008450100912191412835412051892793181672573139913039650059662814031392075003313750300410436318728989647816935800945699492351614225403821941104131759861792877995780815063283211767342399381731818793561815032114849774129905907876736641684748487517261461381605522248107109689612568122717973233517744568259215998390382480530936258158914573375126754152412243816163640770335440455783320507407051601298171280571353931732513072528286140713555071433740615333738467526188541266903845353708433787583774288102585196340386033963623684731064980476208062523002213570502763570099043855634618998235408746766103756042938226887610716723607725380630038917065100407534249207524988788904950848290257934139773574629308960666219550033934619567991629759805781478463666049942044865086483369855232424337585484665796435488535597911871707675910064646355980558273184778569412165059071688957247776869377279161551153195727466059475185517203991779426848123160530837528009916904063819478577447038261523293413593862373048340459019527155335406915643281668185244013630446728454616457586041854705405215368655837148700757301675453430334222472298389198599372060078266031597081287942426332809312119706449496389706812942175994119618830539514528517515767302948842976258011036825725311368967541281751524390706808871264714160933083982041427270280270913876623557335895631847349370379459778787677271496272055308919025794616928732507287998578341160242627498467631035644233912493440950502752322038874150163120794654166965774174765549526898225233574188309314785874170657498068214748513199623200336606992073725871520347437550161411769302162623954217025964321462125083454790222491512387305514282352130481269050844155754153093008918330315259033425382366883948734218959763865333441739862101274874190289256228587594538599795523753510290725417991541042263781521362567274881037402618502146865247093608828462839073761171545608398264440865362081532499806372266163839020840873222568870366921904249351879347230861958882217
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 187 of the certificate chain of a 6,064-digit prime (603 intermediate primes).

Certified number6,064-digit prime
Certificatedownload
Certificate chainshow step 187 of 603

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813852601 --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":1100000004813852601},"decimal":true,"detail":2}}'