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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 #1100000009056642943 1,693 digits created 2026-08-08

Value

1505315817053658596661388883964171258729446386501983532839534651595053215341157419389848440113427549789289294420046715734619150308807817508089888763689722634351654943158921232419282629961626074463047706450656986512421972930956836739613203072492436264317893220345549088209521097768501059590942319288394842298604180321185964233974195768994830153978581756563255440947861296806166672666737933555758482072693567218159497411025070831064789765993779296182971482892790505025746239213287948759810108005361752366019718789174721215118594560718829744199309545054595534827068261076869224748565766356958439920472907392990970251090573035724236264486949013964205502354284885311430804286963115109053098973216772220531219719435552502614993015269034556975599929764546522487720250061586080115760852858101041675588217173411039861603547108523944006266661120576621379679628898290041480800938463984200362404335784586336778156925761987200829307614938788456770456512930897758192845451809743002786008621646828907907624562865890066637689101507630167145911844343380615247159032467835239623402052967032030333182403480746653250604676478845523457658373246618960080678672710907754396315120872801760940736020616537005826234722187203628527892979242233069868751368736096272220124229525890881873265051751884578401999265614241023993716347924818355437826493412142861818158584260979529996303526602474721441498494947594243037872651446123370913582263312974846696322925111396948399403642329608617851155842762512817151188882572148276958666027250896487175174591057074037482544589998029075243799376439183516262240741450247114381723058707902551073257342444712291642524852337811038473477112646037923290352094291483493689559916764759563087463
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 2,536-digit prime (201 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 69 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056642943 --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":1100000009056642943},"decimal":true,"detail":2}}'