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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 #1100000009106881934 2,108 digits created 2026-08-25

Value

58409278635272616393425224611027488370027694539759809710137040435710852224191402554507106324898653611015947393854106597314686626783715155804153401941758980122818733978944887077801175816069164396503220875710231902546200101669118345952452487810000706704328744169262773999560786789159319725692880285207651327587262618328277459198372288578393018251158703566023653495033724158070317104219960386383342017131531190630533385754445704824168100604262001913853661802766545395999489308417578108758106994308749728991705990742540474165282014635511991715771814337485470278272073567974635467501110672802104290609912810771812941780008385658628357896589856220072113874681648373250520152622216773928566432872806138429362510981419338727495236117811918784827435447143185484320985285085484919675388339791204275561916881973522029029420821358611951302144095562614180004991153701171513278276150286844498800459375115025480257198314776337797965909826648681331072010061797331673379841241879717899400775994031387950908442105293411323698942355321676894597639332621905711700419038658889261089567357995207868091636655012518803682229912405607501413863563659997145633491168655422269267339872757963557527894058803743626445698578605849252330493572903763116678728240730224453600361817489526658008450815254058756297616119988897186850673086310467583870142430521900442615819672065795687192817689467236831246880543060401051225323903325163812235854750521342084602912398138296680910452281589745836979576532252700950733177646581957188129789794483833508809860292020802647119694588195529614933837513807186737753798604303560550419358054281609637491463100192666241130029190226541832549555786621473445241134437015379509518873762702293705408340572622685831523547096740220661064264694636775609814966399942204289990241753762449995214071139089964520722786348103116719476844745580893457527763469438683447589096611834848452181975728590288793688605163217747691729205622555466484407463265239099543943541787302288847615700141822844523563095157501141100542953274508989188396950525707558363880093807275420632552759997544753629364185583432793811286600581641195352299367
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 2,996-digit prime (229 intermediate primes).

Certified number2,996-digit prime
Certificatedownload
Certificate chainshow step 71 of 229

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009106881934 --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":1100000009106881934},"decimal":true,"detail":2}}'