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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 #1100000009105165841 1,610 digits created 2026-08-24

Value

34046191865224807922580196242688022002095449328040157612310389739781121675849493893241824648290694743159181322363986791075365619110539478333564551768142575587485869075991067219927092886829202713608984251363209888393262687526336823107219849815084038765979052603462080443200719096707522866090926008597652343550413190431095976776648407580934922350230723566134301314410708591344152683563753972319124293657605820305081075901591556303822335680456949395082417568274571845812839880066617735079111746099776562761918959625122534194883589584485521732643746385439823073589685292573388099677046780307683620762441327397394933067989069505263020064102090801125554831491821764093017466731142403214446412080076774909958897350869812066048012649300675247387132300048740183130615605952708543865300564000018616977232292099349866248950087173404345435373507831810006782231895608432354818914552360132845305976696755927562163859163859173492702088547599813620512473992443929616532602863888954719099124200595426386366585755319243194356109172913416667743534128751347702475197035163302737630001866245927471179498296493931458728808465057884200521223827667523317119609266267493092580692941119779218248359324472165198760500629751453082163130017367300109851801288880567055171236741167609631409288658138579908495500359706928113098854629873093887176594141195885572823755517661577979511225079479184579957828525932627758145244253313538374937890231254327026275540641947428413865482429931649081806552113567477642316673737912576080979787230859058137694039456226105729723503826446450772790778271287641150807715116504383768767118231053140096237503951027
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 2,991-digit prime (198 intermediate primes).

Certified number2,991-digit prime
Certificatedownload
Certificate chainshow step 93 of 198

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009105165841 --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":1100000009105165841},"decimal":true,"detail":2}}'