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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 #1100000009131612117 2,232 digits created 2026-09-03

Value

369551994035121528739760169129167783784703840177920501692135736456405207339562191929355061295526390763201604275308355085184490565531078975154480099381227909430551937603253628302493284156505224907477316263892404873907519487899459795510111064487985449095948022050616723461288058693416420492606862200437882932530028507902575390687667266366204593191867158875460130939700135932065837532916181187147239423228004036813787915910804757492800765609988031171048392912024266188657739564903053327439744029542628896972938132646229009868335315811488199585925824247995583513804564701963604050986781726490090067305585688710886025419209353444404297765667257605057153042502901914402531782626029237588585766609690101718780046278233986225629848526962938278142530133276483634416443312349417949018764558760190500424872361288311892234106478066427120920165799998007343701976771011469313393334460084695227658839053705608711552697288422856690516305631079642562475723847804698435358214559433323067650826018884643871207828918705606490088850870179668576721775076390830269379166290519531764401342194541562396309560763919939007733957466548395947652340467707043984061034401770943320848286254251865557835600369218642909044177140541170101155531975274986088759027520835128532837669864958248280328828171274036705210096466643889970129007244243739832525454039580286142291767285276569044165328474252283734625236204270282046333404067681811870604629309425551214374043712493872726325686359568430858215631547341263215893248279980894200956170131641737191230027268885336380746697558359243062582381488161428763712933043462945653701419235548143457735967324598756398588539254818743368279814081849803772355396077370043578363732065482341956795194051547361876052400130842049168654391051229334236471622162536553387848151520222175663009703979534864831046199176428555611374186844553722959660155298955021480380008373686092780577158945143496074420427212448829719697770964294666965889289552463968660834407067745938847473393794091941449720672890912240652217808653811267835784359195874938540373995298766981592604045540543072059899719792039288715936983326288273272144233539232018298689791371829646395361505500838696566151302654853753305209411496398711774497692566537820880326830626504633266627
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 91 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 91 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131612117 --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":1100000009131612117},"decimal":true,"detail":2}}'