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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 #1100000009084386674 1,847 digits created 2026-08-15

Value

31625314266375212750630969796188173883502427775170769315032317070850598207410444389553927725169640750183110160977738287356101790150018599157945075790686262026690103261708248508787544168090925296866961833010718009849782889338941654067966234257152958912233953050937348472587061554468202171531622793001026559199433580959301896753175309448777658575735654459220901646233249696034161138719852941336806757272996870520163262759432525149827392835395172707057101768931539776593726766037923426486154878579396188975940716559046939269245747733988888783698531693323518987509388965403819351178526374602938124356443879675364566483113405646642895346135265170613354068966199127180024915855600999360781277754290115154853746460963414034674653793230432582574991893264023086834385054793623686403840821138130725753226405656298091523647129667982512461310720454830961606346655758378615207731992718446270357784688958740746408253076882133873127109284927555093781597305255964698447074407944731261645618395021487353142648742872624215527895070589239231999631154125533172340034079577038915163284082713552042942622469760526735703808593458851862029620285823207035943684243202611176022577924066814666951539197280733640185989270929079313172718048284174803124469878592150195112649008898012266330732010881680122873763849534182334711922581900256825050892131363453656105143482746880143645044824122666256580008454967503686821197195164065902176464230640698097433785577989441563885533129124289689821570974802399639930738277093761164202380437791593335072162385884533095058448722707703558214008125308438075313167350471753004394754351956449904954162153646795605563533869883658903922991266461189494652265703501660205745495842308209517759723650955529271733639626178336369438928380466803742152631433331820780340917604982636677629569889207056801726671360084298552797514562350785792534156256286109
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 1,956-digit prime (156 intermediate primes).

Certified number1,956-digit prime
Certificatedownload
Certificate chainshow step 13 of 156

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084386674 --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":1100000009084386674},"decimal":true,"detail":2}}'