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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 #1100000008215986705 3,507 digits created 2025-05-14

Value

264349179939379670006678291793465450612880725637140200386174643415533575435034818244278322479922099046659308154832053118704673897925243330591857978243208675984413621320735038369743237502740926996197904822299143020645301923691050432516379138774751577015468470358619928929655247029684700422956287663090937416096597781143366512928001596048899072870098290582239258887865657907150697983337038834401399531945207295019646815046139956794056936553142338235831141274458574022567638856735397732227195514432159291650087734034739796670586591149610031704440951009267185676002478326111889342112845185781261224457566435484479989058420857292797861625279366340402903513268378136644855959153551344990667223960766949816173696043750687694615955089793168329949964267603465041273839897668526022160431746281564564211770015069589204210751448059058472818268775507131986033428054710154608329552285000097608301875056252966748257447056924536828512847827202407836740275167501514556969891465501891943640418721018372835794601680497735155059598837721095403198550429144967844213267598626962406838095637486021544489443739950423576214509422609125639997551300188174047421300654642943331123466936596059306559497024526913628069977858197777887315385144967251212620605253038853508543020869067300551607519545083104931134393182697803351224381190522783176689006499909396475169242615156201694978603794645514075724848850271305494698883973538334134784170789906101337231890629746153211008683713220453471418326685350991549001089764501577598564428424360114761062076200387531684866129945511343609916885950068869043988686676241597165745780126226535038861066620610032275184381598488295623817317870525979306451897127535138661188360797509442559221413974720962852486243072695441097108740194183777645934886978350844987233753322265704508880245026317649055892214887012419558845770189617760986797452712683747703971003884030950341387882505388219136120812782381528084022941800920124181143535190222104592754074842518108275117838242867860442936757839073204312668229193969448992449691359899130626011104118041472583380743970541448967490294101756156224576776576060116223945482826308507227696567842168112248054017484164718676403628772128531521663587106391246549435928090202756841906574288953451974647152635965709334484577715346330184360482429410619629067933337681866065691772058398294411942953309161024233026662373294169422384673873272987688346332276265466333474425060861831943832453126986901021435907682160276161142801339433256876263519899410511272718214970297867549176204446417954076654514040953233338287024416062126837423158645370997543747690236451692752834363410640736027138102050018289277211555882166239769414452068065837955724271245056753155505640850088719215803946439317579720979455426566456253247819498725113993769962273081553601587644085336865006226535318809686915105903641155372762331682845163185402007491953572461730077878649052969256591644381579192286163800386997845636113210554693888387633295897899361585315452802596830168428821872634526162021682624013020020933275849597980453972040027092701716018240272889611912758136571886359137703622739747753394962870661454805312015089319725562754179389565044531068044536010148932201268802058963506441474154594634122047878717434414357499610977367058089087959163154592592730834548786115153723346453135792083986262222111085263879375907696679043682794370802554741887094618219353759921741021838896300669360497046016606242794784012915988507036626839483960602955324505524701236117671195156039471393393280085477345363441525388231291
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 3,724-digit prime (234 intermediate primes).

Certified number3,724-digit prime
Certificatedownload
Certificate chainshow step 16 of 234

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008215986705 --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":1100000008215986705},"decimal":true,"detail":2}}'