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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 #1100000008837071452 6,329 digits created 2026-05-30

Value

36809727433744447093984165232635030361678016131665593469318405679261504392196660013874875533182533481676474808911284471601827924024118457688757561835304889030144187034522486758609874937849296307150693894577227052007941384331752791305212861315102853127382648327062176104760451386660079196900543020202724082314667308751471384866838620419526709394484508231238220408836213798664284015610709780526511609891355443233481660748279867320671705622375832610107581192975136445518303797850901750031177862505870307352761052715047108145159153114839707654589264580744724589462035752516445184589332552241917866337055802669327960315775904797222940645474010060424219407297188008250422062570936139457306146134686861922428008340077900709689801403876497456110843056433591007849330415852237899458691557632646716181316211730192113156974731974902119774851859925506676413403862105530985871268369704395517043283330859363418614906017673267906428496539217134812628940286339227277836336558805940974215457650752993908980875626975058478315150181000604255890540541986656049044607041532613600910747246372850398727489560327192822575143775545786922911455328525972878946885689312176858935540605366457325574979178414126153792243043821787423794548853356757007402831955368283629497664576411135079323233809318694142235386553077720106347407090996798815925329033324187932157431477233608689849054580816816336205256995854217876464602534091896119463379870826964622939796130648127212449042648613915012999950551474367453180724399426801088288725917830331961637667881342149849194324802850691803327485886403022569442112115847379797870300090874520069569973738325484504420236804645119659417005525055855249198264921355826482994731169315059307588971575144475911587370728015367058223363082525711210999798275895874774085772463469340471908789111495335909897060460474075946434502337959444922494210315957980963229717228794531513188616789287829604934985562792819105482665077163013984698635902137149938839871103697417725779414638359992478644017427353860947817020825624876033265466702727853061258146106408083164756854979134133653973362131353387805181101400417517011481951904257056352976174750748260538341497514367421333054572992598990924766043663452281502914678694632245089910636673354557591597181830011957414241712944704836057230032085766100588633076944702554336725941359033129759166848502957676310248595165979446301092347469682985136066117901457876679747733890165107888002731788897183254231365651625518659718541286565636177296047699154683814691682084730202049149446441332397462032090141417797907778433615403790024981807954757570391526158777412751774573306911857971127939680504210850403858208724740761078302666709313529761522326099895114642583414920470076935691306175363420221212048468373656978468500989986976097982392734688513680926359084827602720973748165098901698394710754242945689324142182673773520191664114453406936787490450504252385714645886062114321829798780590361544077176363041974747218817452269874968660565992255391804707098943174903103293159317453691242180074217670476671269766315630432101596961566861294770858694008334806239247422829951941148045402647903310087263192146984114916902088193744468699141711781239349694555621062761595004033393918308119215038674613245554641271626602888325052012727039050367982325317980840488739608963155958274381759640729366251438819568675924991508468232222809297816249907868482893377892632681362793191017172054315858664483088941450546255993532602064020186534222721527540335299816638540081691389568148699783743000783931947559123489948228080773110618360698622203489550877057978458243603994451236264512234576359827477547307006605187998563237342130847809875889831264211511128667294427255730595511946951412833252422326764120981110771068142775428482076249900791015284807610784677048041749020000630332503474464499176311394341076138480034056361800908256210404248440961151927150488829459711608968500049457160733495907728859303923047253182684498998468408855325953851815005157669139852117401581615590655687255705758861061247633811212999656034218006639731937727304596090526940679024262255252891250067138101375899875707775409596017522878636253504721795683153693298919763163311196876397800681666418787605074138603275508224392715024180239480800112781054431572773054128659552545488353839041468981770095255424484712862788587803854362751234927611419870203412278795482824441202747194892170001110144451635458904446796792620558923526347450106062762151926018340530357760365347737707093842154161060957963114368315507509333202534852127063553674139827278119573947691684812400449689523575008954097167239633974984456284582364720664604639553274061083316999726761296387500024444087049598642503787780706165871867699053253019733592869264562677740876994977141662077714339258889365253835984214129514263539147826242761624241847900208542427336467507965869899344678131570373492581184646374697451064700325106345526725681783135186461943466052915541392246110061112137611409419832214524173191083738504573802650139907038829998997069003433760452962248499362089472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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 182 of the certificate chain of a 9,000-digit prime (585 intermediate primes).

Certified number9,000-digit prime
Certificatedownload
Certificate chainshow step 182 of 585

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008837071452 --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":1100000008837071452},"decimal":true,"detail":2}}'