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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 #1100000009056498177 2,148 digits created 2026-08-08

Value

140523848515992648809324322751017804563660694549774035584347912866418891745937830923934846835595705270762641405827582806414355967200566402420946892940873394761096713371705256302472254688365546852743934012541124868696562944588131242601176960055100582349440997113159623086273175859293696792253874860482741459207082591581505507546691234751458961322546622615335003106347657847293239195273869943760595726481945693577527399971673841446433429631476665889509606954054581303166057024815495859290920969549315691437536975160284927644790508131199010865165524138212599231918202287526023202100194243910703449210028942161509552948382823997747273524180478373807244764773758815320924622334421096721855352520389875466379653704372294160586153402941826173102437497313308897360680844379593600634147763794725981825239102721928559173888293063640830843791129807507981337989651967804594213306208173929518114494933965896780923621425530002724247960123829644118322162474023468905984341597671596665360131689859523878127666630325848344697228236221952776815787337612326235786917368588604874668421974518233164221454649100711413194627095421099503395894760316625360345335579805194645675899281808004358994050772420364014020411448564606065769910973100706756445575637298417914067959739942183846006481376498881589482979191400252289191992821408627708186764013027860542036948503657323350988826800587613225798741683553601072315159599678270219988446149940014876706681632386135319718584487826065839982197081301594680144111122361872978665074279399419113392165066234939245174968556516468282245594688644418538888170395111556693696315424718528350900398862509731228975680568501408106702510148880008923413467994243213892233938459860314249161512819166433119082575891876215339546735929555624625725974694429348322471857788479054197639012368352864556340918475652990477588074295524205990568426947193943190135822932469544925412485066281633864759268909506854997575616481936909423839662822687766648259732996362750670552955895209932675367791234062178179377440914985491509392943691530653470140511392030861199718831517652525792389405419771003974174055232420087507036122578935571472487694749015766192471425233
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 2,238-digit prime (177 intermediate primes).

Certified number2,238-digit prime
Certificatedownload
Certificate chainshow step 8 of 177

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056498177 --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":1100000009056498177},"decimal":true,"detail":2}}'