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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 #1100000009058378147 2,276 digits created 2026-08-09

Value

32520915114000112328243230217322985302434459829284275287305755747222848349787275046300087190902917371986451721554954513506730475924717547012826693208022000551295126311290199622476195226099277339113445801861808191787466171764298259560208554052922442883050577869357193897346610443953343471335410834376132294118751311863476901426494322026929206063330698935321774951074048705530960689984543873882864129222690071418478618454181857527323917610139120337548058013029312685192321854966313736483874729677490066626250174755592366749718551574461788899370354230194129514906092599586875611979120177142628379419746722308877813088138232984197437683239243260121511644796620166109392606598280366932799926853345670249158306569330358939876792360982280742166072590980245994204880271182868777346281441447890931874215206669398199129033607720427789130955436043870411130546861128303016205237241270842254734573189766442979114841270977168383744833043196560937596321835267086704252648464750666264101106213643290668111958785510600772236077202310690403002520669058891999041912224531035282046699863027336743478191726727835983669194891276989444417668068049245060136647266755717561049533473288589026328577313464346031236396234184393525791839559580335595588671922856933046251361365796199784108199713261606650479148985324596305458610248427153859561802744894895730547838686368566342853171925074279515755751754967591189732942247876220451047146080701040156815682468241321189773862606849029388305025297473529811434278546781828232458229047109066983536515581285429161106659384314834321244787732235539597390089224149866318707498041624099560485452515829544015143087242011245642980745933387806541717857364740087081788014824932361478578271887990964776796542124263546641214046520006258342958357668845172721966128914101034392741399924913620711506474705908999949490830662517462856461105370125556384793338075101875637333087158825919967038468441853201346064596702500755708843602339909354914267440802871570791936786502844035533637626772962910603921293337751063914025778284135212575674687841389091486225114005431015613077860126523779815803321775156163308848846380372896641738506867542980712348258072554977298646848626052478200637084703970210902698554736159667630162456358493749946938899617289140011987972669420196587301729827809
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 2,549-digit prime (189 intermediate primes).

Certified number2,549-digit prime
Certificatedownload
Certificate chainshow step 23 of 189

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009058378147 --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":1100000009058378147},"decimal":true,"detail":2}}'