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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 #1100000004815100766 5,352 digits created 2023-10-24

Value

977354881116077777814257547860559696512266976460999757377237852941072046223898366367063844202151685001239733091823997910304653196410676923473140352766750159321451431643801541265803443601477998627821680656014629697436804308751694154125572200651768777097840449543345680889731952232980016780534183108592309327040755777772609871034034054293353823764290393654813732422982512381822716554659805497683432885220362605913207442339401589854103401840895439100526225482756818076493649045010961176458192190702202933734934174478239006749380486500127909352129550523617722625612334144448398394101723062820504742134559178190580338733518808380288534417121217382369442475603758917770307574607986747077871953613715652033382070815612550289729241346852985907870721977590505411742047782502200847546400322405014656054246764422645696809849681582460556704527505821893745212331471768757755979093522433925455165052928183108502816324605670928029717083178676045003319590608269063583199540422805604731875906387083246927603990374259456617112620584084974605029262771273359304389333131770043545101686146768024484815327836666926323005843980731701027286665530610853511995112241282813508468521238912759156432157844268453806195144404336587079723983013036343372602160172233646197903153863401802435745605563407933490041974504773077026905038986411682141671749877012903872428066589826977241383379360525851005096858947561331519426953618028762329031550940009622163789400652727420917575766064304205945353783053607059110631336185518557047266324316712895532564707241262576692095689207955521733129691306270942301871298738941750528889405354333275955298349478772488373775974163588513514656378477281459350171801733121345103537894746929752505061972900088386622859073265656452222216107871545819578360311767431325154070413210871838396507316437206627913717500116578829508813127580098069140194993851646936985574931618957435836554984992561167750806631790752761427364640163139029080952252780143560026793328294518111204218808331467456913714817464171679282505256926191043060598481333106107120498689953139088342897764954198259379373587118973733905945996158277683676837172272066816095870916474147250561080047590225626198347823620057687822895420918312537440844440625236046119044552594487256642050792905938151494326591162435923955405698809535831001486314667403483821971008525817720953824846223498596145171983916738303725861915795408898100037486820274299961343569644591639638607408323678786539457812622551347356477107074270771608747656648118148873049912022578804504273829680108503239980638273655649709554055416720441559567640690743718570071391771829827779868650249525031005876597972645510100967262253547856638909327008961746075455642892405169265409944057458575466293405336197237056816239851845941914073615717060332575905292883718873761321332879414425575616567971805359262787760079402651941639396229711641189002446587913084172193839129894666514471831264882040581469813298452263993015609565708621879727703998437328031233897675439717388308810744279933604851096021902593201276597884722346064639300400002048069564209478806186713302132974866543987528028773760795094646526633737565234168700203036509673058411018362916091248722820793328831170410297313999565393010533846142174341913479106562516692503290353739901490577256101393014039629744270103596649960141248649109860517825334770881586108350784172011879406456315681836523672233106261253812301918971663142872795229108276904655771062101914453125854960183812196659142251807833439646350402078659929364927052574656448320612616221148537331716451794256285996362277317845145099133126940523804578942246968079471525745663457133247421038090163436057754249520637966457964882944276727964281153688942138062407722289638483374250786872339715510353816785810690205653252301698218758712410136124060215721440061541601436553534681379546500280300558756679973984676480159114552476694190606262801448276224864946364766466583522852389442894022542043204146018914069797711188590271155724385127813092407589975684201103250271831825983981590986451974194882313078789446534374497084719204951658573794501073122078584186939611282183739821710622434696332205929418057048487253264617061863202875182225117744470983460422432598531316749401584426972163846524335602761840601624878806265829727489062878608420362440598299221502829928699904041202204724007971176775077377390994375180898738794114019657263699851367983739324464754771736152606874876346228537981778681764426688087427106086394592009385967277287406749677847514014312146982488075470176678844776461478685268044593147835783999262087309797258479745519565846897085069738408200415546948234604733077051914949665771958957016267799466726109153369447003990325982792165802958834669736854677869998465233084686381295078301389189444449505355688322717409234562749377505100393595878859735411164350339517568788232903823227103087694151701358259809304656745494467566450287073777838913503910043461889526953157165121831190995047517330354881110158580426229506050078149173180252374877180650107745390470010964785743740220765677091383457395370427800736901674184475115280997796212102638140862155774594510554323857290845897070488068303046439640807235924267085007003160124437593356646072309658357616551854540923563652301009924868792370047405536433560679666682006547192118979042847805454867425130785629015573032324427658571274566011139497539912951969012956743351989899517983320422369304581
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 5,517-digit prime (557 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 18 of 557

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815100766 --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":1100000004815100766},"decimal":true,"detail":2}}'