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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 #1100000004873696648 1,961 digits created 2023-10-25

Value

10841722174737171369658443967771319518664817349154979311587320529581453862143388278770998008643715582237822024294503113955658776635612553406320802025983541845155715729722219227760327335540191152728967757223268907687033967406892203057267791800088205948227890960729434097372044027697289051531650468465734773453530353227663435861163597323503657362500571427290477748775121872046576195255306004232139035182378906082597246251164423507645038151708815807670272241146810155274053091225252640884592977078660524904578178174636422639479722631093544039909715453199011790862528628869849634333497588651198873872223601247024228873710416179652721542273962021193331146262637663012929189116318433564884902225784814441531427292457202167418393946414704076990750912930090404010704960700131292475972827382750515210905219795914604752818364210201082986165177923897264184438615720981376186999772686219087472712022878868667247361316792434003611258847488900192237781764587304416405807828871221148871115323728162087047022126491293167895990855744216285652404796552575288796968470413858425516166391143916323478670725932355393983554109619380732679608659156462728509741181014930173838166880011630478540382034300411553261045547106043484138497480789087736505448115674498146231294690164239533589342618342940946609155095007132702331894970489261773816133908006630053014193805152913580887829430030264843877602656546710446402317128363324450258170777623508372636205418993689754733634356626572892714090029861954366447031145948306799522467496600087733565058332627789159723877537635654244287357937057794334030484514156395370351906341918898845593824960109622989632398910523559296351079526413949679017593880441108025177052375220874622823045619383316833812520623407146740463492706981862037729009655101189786713780475709304151748731091723314169842645373737137031073857492469809362624563025026481479877966506899916210468902725302855834357551536724245857296281775501823772697372037379432302143515271088349196881
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 2,536-digit prime (344 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 73 of 344

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873696648 --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":1100000004873696648},"decimal":true,"detail":2}}'