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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 #1100000009122012832 2,495 digits created 2026-08-30

Value

12236389432778330809204036240417428582464244200996639564764705214899912889173768742760455009945052529888180578017445535684019033367821765023547016856127287106266385229475414933956128859582546780373497482955530431757015677751626472477811543292985078823633583389062078660325591446689419264693434087493985967611251689752021031138348135325901640995859861795395564640530292371318542952824065535138696204395216625694780260985040019711067909813650324476075670689972008108208634875421501395799696828743287654113614105028083434421845779499165530364152079678424413890536575483302892411909497489016814446069706948152664235963182813679915339737158869796594237037243979662953894150283168172693371478886585978706208335519765160482198665700430963851245744342955931536462659191670788219626159877226280828682633075609160119492374754721968480283371583391307238780857194719525712554925707569723935041176311819734593512430716324401979895247380254563368270396161085185870073730760888323182394713927900222719653228928397667709449952545833312799336753366163735952811377184796793879972244147367032060602732158002746153611204401079557768794708081116300877489960842735337084858236137512879004966875683451019504111731705530755270321451845327741084077242797926507295603181416771527229856833148623275478575776014239479909199001458137085795440910165386214674010919322968456109300449587182992846498946727419050920488595544573326759470646648940700740283056121943521826624066035946229139101119860163934217663276350803608366554506853094101728706373545240740500347129439101785237415873565557038499727122845054357117101247590213233364873134893710571089988434323840464202675532394176112712686040472011596586890526360503936077628703870977847360138224995848022981106144241098400822425302899562870602662755377818286816893539408811037202767226908130345588806617291403036951987336500896006489332603926790119687710314593274175182563364126278105892709680975220609858669476784059009178139440441815254423610460130961978768219392443793979701068011401274756921579666059322613952202573487261633235469727665527465878730511955317775500280515002939328676352484506211267249939615155446210701828372507919259577565165507062394254459374073096737369062834413677965158292488555425251153830026110216526918316275096266951436345634340531051379418849113333777692644595196984733999856208356640218320871157402491423881187875668857659696082653690496027765726607365486167274561306950139734307094818378483130428815690758155075338981898373575147275664603866857677
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 3,051-digit prime (309 intermediate primes).

Certified number3,051-digit prime
Certificatedownload
Certificate chainshow step 51 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009122012832 --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":1100000009122012832},"decimal":true,"detail":2}}'