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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 #1100000009054832678 2,131 digits created 2026-08-08

Value

2397198376789776832170100020876532354521013515740094331248097499478983593590470952797519230710899107670722110466184135254578877024244940971184294029176394695638515023822753058852598849940679706168876690493353104394002683075778496172601951354492569401924631307565807705501331550128512413554897597562223021382015302261962400867266606061878118637242829619240772177723425239710385870601771532982210720272200528308444985882239194357613005215561127668499159854921794036728613474547932455596266094737575675114960670970356623059656508262951552571922321868670341186319139483738267311412459483949394822557512334654346877952231911022337337926436613277036905149372709968222794074325092521054626336894875802426332761915082871526649248530084616063108217637200058424139481006570212946872525903472041233983435636787635415433533426049453006204775559087013969748964058987046048370845519713300622972585270697045803065761808967433156103206397172528036112204665573843206976031126259341201828138267835974474621968646219422261294420171519459505955518489747884055555957401095267281352112305527203976508365434373184603909393706566437080605466248350246115002822193258573622773319674853795178652970134541863461981297475369174337625984826839127979084117886735551352356851924649000503049225888519060318689690818023853575147527503743798945056725825054281930792239400302533033510656837466331997678174012289817567253243463734156919086610525914113167324654527869511381630176816557391353970984990984177402880470460442017562923856662341185315458435695487039664506652880460636353495087392753430033475845727686514568574009791580060606718466376206117141102204382730621588400773778347288032866820318971505542753701098374555077434090006510720786716407859441027416152998345940074390501718484401106126389087545717821310116076417383736899919462823154434331835582923484687601695322019691430807343065644240914542898667840907615132078129597794790778146117884777309210774422661687477714396907844137213203047212172742580835201885102581593936545384793615695985201343145885134896598329614143945360313012660184249807637153990107457007296008192644691229454026889216883759836299162739
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,317-digit prime (181 intermediate primes).

Certified number2,317-digit prime
Certificatedownload
Certificate chainshow step 17 of 181

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054832678 --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":1100000009054832678},"decimal":true,"detail":2}}'