factordbrpc · fdb
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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 #1100000004835848978 1,897 digits created 2023-10-24

Value

2113757815258839132454917815641437370642791154268553021296483316819306401771394329770877123330436404547164405299328107065083882430026617469707892129721534230550337204568376157195340780502756257127356634892764854721557266632050465059120963419766994461671030094665081334645909347634114710240463417160929760597150744542247981316747200253664526550147787148500044241819688399890994190050696215256582684730224057216950488912084147692194027392764224512442571227745545262863148267605312889793137534307744088782320192317830443028375625979541125322276322067320964133783292171867085244642803462848003815220670821243671478652033190317452383661342749521151769176078866054914418864105398063556748079062563642338286020019104855232744462738022554730547153997785735754157174195809435063752564398314892043687314418815156250405361111347134575358992417998402291820292744086340796782095513146902014368231272339637922037898361814485718098974753636159877896683758605677915734082095916450275517714410586105471459704201208743994707545838499483608816987157777093915390151283769342274015299949889284293316153642220504935199300259575328206142227389707961050293928427036652219547551985330183165115006601118505868745492537725260469295105775169227427263351740450777075101921760676861956014635212125537189336852947818697834991807812607001699080379548000575412661555989588758233857653856030619544750922285549603534308352316933252976060215240335365477637845121499496185106033011542785925992974898414367889704350826363183364228343521070472646358182002970447115342740105554743651757738982821819074219047806253525218843474039127013162635133427893524600194549362128978063503174506812450524256688816063032557670451898595395733783479956469511159667493492728376769386122435153413021974536086054536596028450076141924215420046188442676541370771890242824203331611739841361137352851622534476392267413961851370826143225815357345891240836257001
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 190 of the certificate chain of a 3,683-digit prime (410 intermediate primes).

Certified number3,683-digit prime
Certificatedownload
Certificate chainshow step 190 of 410

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004835848978 --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":1100000004835848978},"decimal":true,"detail":2}}'