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 #1100000005814652978 3,629 digits created 2024-01-27

Value

25394752601678645279178415359580500998775570695963432046084331229027360205596257671394423355214982270388705488204047886547430951431234717912937804493452234841724295316423615620800408055918778105102366695997976670673413064554588403020890001597664316258505207380684683069796324960388360478592650629142225828423705286808275662869983948912163336612221309902028203172663110597245588186623671616717587218521702223838642885277847259986378969785860629310673022927055470373031413719130430600818075500280503305327181473868042312510963826226548200960019437912430104404782717153261847796574852455772373457120983030899089843973215990670760257100384090040955731013642568899900861988905395078857954324313744537499529552046368583503279402657461963975413970777930197915038854161584067191178286800106961164938906518880720223645893333296723309142772448622723773876784281586174154338472792836491766264500586124946027309208302656637033546647769559321664812938653607377943346545621349294542238502698358400254272527533060624794014496858983829267144235840472504750318006368213718134301357955685033241891091305811668120357415197668673494515791381245527587232331473050500851820765814645336982979036426678685883990022992684269065840188693156453713497797143241458682506450685464274443667999021262515286279250258218140366256599901576068207840792648530938904696163267454612980193370632429104185939039480263731402397412833999227301423912935058608592179586802870813628663359774886381504724898467217861935785633743402929845427527306366294852335082937918738829981767664326085716386020596881767340807355545029414037321853486840800229122356367998500279203198071794913391263284531095873224728015413483472145833140171740270440284214712766436169547216117180611812465525084455487098433405198903535142058040018756491420051253133231540103926974762779277218508823852485512964370184223723034733540079500878261401248589770662930443229974474347170174068631430085286329507835302087413265417462506130990888077214342874227406627571969599280590306044495180348139693729229293327107980054163409740292756275384525015299357671539791888590712891152309565340585799254267976133157192170246486124884954447127873124724181225875130439860089325630753146261908575334372353396484678151957649001493362586476605464749719409096459417123910573351758075977205288554310921351634036374592814760661185538454428486426584524521337222128282527306940892186179799342233696445253530684940260253911599968628128180655349980418541909143262747311455878941548470488855316544286068712662854173938513401699307450330364851621042270943848281195363876154975215916396211079498323052514624263962983322127319682934372148311070354155433730233119572725248540881687397181838784725270820460202322661827042765768350831179268312811383780478671298599304513042275455823585349054025757416281203698717270651471773350332147083104533085004473402186073075627837025360261851017766146275886128702331448490789847644703667043641460076984557854208009400973685917389074800452135382979543650959674863374881955434362607333369167028330150121683543045789604613081677553404350194662261069784249835664772610984827919608459084993787985598971647172236011536821386274240502344314801960957671626827302738368180176040845638063992899673209800901124581687503032531652741947568108890274212607385413580802943445076348386442834637434417489351081539961462088922571233165179868506473324406073373094984425501697617222654466638647264577930370720408598703371633250289854418304428174679448560613918486068490638488377863564921130594884109864765782127684093565259866774275458027920366333710631663160001085478637368597299289120133623183722334172847380674224999483
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 4,404-digit prime (265 intermediate primes).

Certified number4,404-digit prime
Certificatedownload
Certificate chainshow step 57 of 265

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814652978 --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":1100000005814652978},"decimal":true,"detail":2}}'