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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 #1100000010597897227 3,088 digits created 2026-10-06

Value

8664221321333447598663790520762027901203405616714178663135136559609907068472948745859337387845732017704873975739600032978453185706357661465318018217099405606844544446496282464743639829931024939448643982814721504414988045410107550927929723226017068546900101007550643466510816749586797296583955044717830921978652424825114996529084298246800849375780325694734336168963565283477608638488862273739768653080155644542861901352435729891631676129147202139388479558333056925898793257977525411153627480392423207557004924890157942021436398024077492676844096906137449898426848773588780032877594286474014803284681519111158777183119600900385168701419222523918976893348633919087663741814810402480403740229571398229698501285788535819339704527961872611647206137090340783273481373846642247484558304117431470863938949391013870027766029337296593039608940275575199169567536578962934721206841512060087099792153252001960043302200816776323478631491392189540246271319235415763546197390225327352508689856908803807070502394980601097562794955119931435573838514471155469023609989384269950157760278693995855266157928048893624306650311945901947564952830820076972336326611286123625561631274422111886649801598012802473061378749802114107990605743412175300657012077970714710323695107189512830344851711053809008192114383885415926423089095654636240017772527180742266793878256830101440877973326927916835841818264006433531828372783151502932807016828333280703755619830793596621344634692528529837541999067417744089854498141410919256393038695727346451105861907283954260700480738038361984990550420191286167849400644094253684757602793882190338988328134058677824197038017809920469917666225487280350478551721262732948365533219305035579298168426704549133862852667564855394038556331366268911768229188311502075552660504277319734800080951236603749863826054718965699162446955282557815657398715791594860893156862780158972531357335799159309384386278003873809154834528202482650720566173203016840070179817201706043816082322074104446926267987867155181153042922645836142429115953464954646472314367630916059199038360226103898002488590505502587828757063845590916913864708070288305770117682263648745385722239108168350614508469097970557326379241121879375569223496056911420529031306123319594401814939395613110060033258001762417782250526651030790562993514066150618296356774866669092224832660418629556980686937877001165314754449439987508193264961621264678389266407033155226554178979522616825183123639472115524925089506132294256941784856165858283940752617714334494939486507425567970910115032435804404593402895169459670434542154653243272476378245952384836646685392231606318295197372348345738041386280332057951464358676658984204663846576122656320286266237061271955700793649438905783457185533469327539304245178396878919352172522235635032324241279270262505358974167461565687848744085975748547309901346978927856203132744938806474159300578041305702847199145492487619363084758474084507611128343327853758165560986873089807090353782803280770976042734358216584427878075899349246159857080419409013715828065586881404775046035607895783070485623818850391609611699760267
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 3,195-digit prime (230 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 9 of 230

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597897227 --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":1100000010597897227},"decimal":true,"detail":2}}'