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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 #1100000009051642457 2,335 digits created 2026-08-07

Value

1164863388809429306375640140480298032608965214572911723073023713012465009747000026044775578300888456943625480428992192048875592305084809135511409383597760221131554791932796422241132969512253515896517570792671003712489256363312090743394226624391968933091902853816285537074297159051853293243200338312821873095288730065569683121609417739520711455175465759975460201366319151552676336188503988209572531963991708673814211136288408107845323811991081893652215571610483882266945851930892878498639514530947695440617124920512650695195314296037823774581810569517062988772133944957344281032201908771030776637379391679108104585401089036848883556422102941304643105595167617832881102892557127035628723758154505040462401190903834658613282582945944410372492078975601351681580349564041644806643433321478292469725669172205763148125526667954242062717665337638126466922396537595086637622598993573331731806653726946125362617518417953207586490880591839423343108793182396812490322313159054849225717005773601174350680796516452944267019574349447583831547258851160235604975860815659459599861387094769659480399639004206203578839725720167903535412387107296839580060670535921393755959970716522137404222928874538732694196213475434729323992750975885082935178349085165839853991009988407854851513891384484600512028313239259593797667577799102492579432443864295413923123339922293356805638230003681553009963371200541570019787566429813633129877489764370349937388668770639413667926651333114258709417937256856877279938626089603548418124074627112204293406243431975441096099520065011540628209623209830030108016691307451996926837190123458707660117475689495051467536369242330408460881105559742947451037871546585236473918885383177326882204660108377029800246601889371670926687515269930360290888117366049999790337476231827781219258344970278200134263989349379004870444799573588567887820324573217574689580930588022313878419913691747267356954634158918216048024507073670786864002627169351458343409156537824492286090351733711442050428077590863678966072542954579547746685137398033944974669070989716791340494463361325965867579920768507792266026489763369636808978475121617618518524176341746974550680082573972252082494312663664193412606487747418930062105124759076611593221673168615324540556866881746352047308724258442999541650560914865160234177993132056875374667812021152005222142160070086611
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 2,823-digit prime (204 intermediate primes).

Certified number2,823-digit prime
Certificatedownload
Certificate chainshow step 32 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009051642457 --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":1100000009051642457},"decimal":true,"detail":2}}'