PRP · Probable prime
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.
Is factor of
Primality
This is a probable prime: it passes probabilistic tests but is not yet proven.
Build an ECPP certificate (for example with Primo) and upload it - it is stored and verified locally, then the number is promoted to proven prime.
Primo input filedownload .in
From the command linefdb · curl
fdb
fdb number '3968543761159872411086475022736750755080013317763722456003031849211300779953093447660966422837160081162732311880571417846316147208044934107205403652542034826079023762262916457380591358094070966814494638785917625080648155483225643427293963624201589489815511137466208203941935371069949692033052434232464906722389200174523589188233286149462710896678129042329555196036397694521483035626956540285387680960626594192958353728754407862996668111858435034577039153329378383593184188703517280099954759702950560749064550613044576229544057305369653907914469694504352049253707123789631593883371314782635180672857761963671425781871531975831589810980810756740898524567896658848748020432946186951031687779990006012821748894074673260051098926102002577773736842886141327077677499938129619740996757774652613655703086230910706644331157805748277108610941854697642844697501408752320867971335016419470494675147858870972003541522691565055561125109732168390739396389177479750704730660816445079551747746286132029819512512284456723278608821704322978246944375457421926547958331809445423598524091567247842285143069532865953453993492119085398524000297255103329424658327933973153841403515048668453672722576123007602993953711194742140471557042543870218777609214475109476826032440988583347485389867295653489117165596355668980766361342115612921316383792572665385701696457030943098480986461074799253030943658971323093975616201569831874995052376719042734447428390950309189421285989886720001941875997136143572768864555008411972101659535595313279604472668198469293742904592145282827047701193670729755597635124753525471547777116677140073643361603130372975913873' --detail 2
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"expr":"3968543761159872411086475022736750755080013317763722456003031849211300779953093447660966422837160081162732311880571417846316147208044934107205403652542034826079023762262916457380591358094070966814494638785917625080648155483225643427293963624201589489815511137466208203941935371069949692033052434232464906722389200174523589188233286149462710896678129042329555196036397694521483035626956540285387680960626594192958353728754407862996668111858435034577039153329378383593184188703517280099954759702950560749064550613044576229544057305369653907914469694504352049253707123789631593883371314782635180672857761963671425781871531975831589810980810756740898524567896658848748020432946186951031687779990006012821748894074673260051098926102002577773736842886141327077677499938129619740996757774652613655703086230910706644331157805748277108610941854697642844697501408752320867971335016419470494675147858870972003541522691565055561125109732168390739396389177479750704730660816445079551747746286132029819512512284456723278608821704322978246944375457421926547958331809445423598524091567247842285143069532865953453993492119085398524000297255103329424658327933973153841403515048668453672722576123007602993953711194742140471557042543870218777609214475109476826032440988583347485389867295653489117165596355668980766361342115612921316383792572665385701696457030943098480986461074799253030943658971323093975616201569831874995052376719042734447428390950309189421285989886720001941875997136143572768864555008411972101659535595313279604472668198469293742904592145282827047701193670729755597635124753525471547777116677140073643361603130372975913873"},"decimal":false,"detail":2}}'