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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 #1100000004864048571 2,241 digits created 2023-10-24

Value

397929221880500556052651701897499622049963954381737906731186125951405330574026241681715451601186150849222237425877089545283543895058816756612434458874749293208803965236052655769921636616921735158463433279741255618996358609975258279407157577801753404487052827579975979719719434440972240705078443762484181932661773622598061972528809572747433370380602824090693722544992349656476713923660884127980611094524110786698031377187486287415783217740967435758592617403001504011749313985413011641494560725448462079955675169852820543787771621017730790138709835674661781787208046675565640285038383282311326484337073674934350563392199254180917473606221208896347077816476509717626229987665535316236060678432775621217367559159971284402765434332347692614114665554184575664143706675828015564715889971720861955583427339292829544476760465425395685324909416231344862779479230140980046692659908064771840253051504530654255184039809929886926605454038683517242611803311064969139211312589260927719271907078561199711666857091532573079945622418864733743779589290436673654359621816029669468613310552585356584273145964096083909399393487057020775452983356139634255004678963441675307840624852301652542921926512634452955274534337217621177318137393863003961354656208784469850794361456464878537209129115075398576740400343303892808995948982478087257442142281039107738664931158813982809807625082949337310658597403149293866158069885570711502331449675476232943432875644227391083678092426192168515807668143291054218384913897421720928837005646760331410645614780006687618344743314606791633450405647399205976267416732267091356397534532984760624837932824753198180272231704082100773055755947722858205813851450153293607215173357537461739243756514248895349319503146933729148641544300501853425313722530434737571123796762253652809791301178491299367639004140280770783940039743451877175769886353871682582372186426332366156104047395495199903110128303012875338292671954951008233853554696086583558245650949724233559389928903997083449654089760216236213256791014545908177134500284342926205429050216000701498189100542193648522106554103447780308931142694267192971100581582859502057918485009197071033690184577103258819945553315612792446124515442645991897855322356296449204959073383986056813174086006547
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 59 of the certificate chain of a 2,831-digit prime (310 intermediate primes).

Certified number2,831-digit prime
Certificatedownload
Certificate chainshow step 59 of 310

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004864048571 --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":1100000004864048571},"decimal":true,"detail":2}}'