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 '225851013611398091948426891066551375589147659537249351466123850893035308926805892382241797791893886111967655434586905596348350520788697918313497965460474318336419475115806550153633027097453192584045593892469472998898430283297392226369460794613038230855051878885165709120888339579018185065345058199705327614877735031494758072101469131300296447809101583562088642189158883761485598892803828981023147213733026211039581802545698814741748298658351831584181304193372158970303864744139712699384572953247011433172107813610932856379871323514684124186027392894641935023602084752825313993610753514538227577223301452675799736628816481115443719817853825488978547485627615293040137366288707165153884260571183983310144396448901080260391074726290481598530288700259661868395567872728938948502464849848929558865022720305533902798825217052389081585797172327518965257701583047907960917041472266555860560570394753765830725086547623642725736937166751360927419636214579482725343874651453518965750719104032695264799868068491221437678297733677439700641789484078115096297586277055596819071050128087131597936878715434174607259950171926047428000365153525208461911573037030218127112362693510314020284147020918704124008796266906589513768350602074764047046155079678500099208011988952900015976931441808213793020543299878658409161187802478146013709282277524400436935681158658874712154660261651093416845470057530071327449360671039310394968038189117485456805655063987973253827590094853024911949018452313908864822630920958883908520986921603540788977855016349457740962689120686399490651466030595320401168789063169774979377141486154126791032556553229740808061111580141117620292078722377103316308721461499624912746679428777124992754466918196681434344673198299860270322942851928386946480222781322581193461213562834314630122828138511799695780717613506431690017387267263829436067914346385898659320811339951' --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":"225851013611398091948426891066551375589147659537249351466123850893035308926805892382241797791893886111967655434586905596348350520788697918313497965460474318336419475115806550153633027097453192584045593892469472998898430283297392226369460794613038230855051878885165709120888339579018185065345058199705327614877735031494758072101469131300296447809101583562088642189158883761485598892803828981023147213733026211039581802545698814741748298658351831584181304193372158970303864744139712699384572953247011433172107813610932856379871323514684124186027392894641935023602084752825313993610753514538227577223301452675799736628816481115443719817853825488978547485627615293040137366288707165153884260571183983310144396448901080260391074726290481598530288700259661868395567872728938948502464849848929558865022720305533902798825217052389081585797172327518965257701583047907960917041472266555860560570394753765830725086547623642725736937166751360927419636214579482725343874651453518965750719104032695264799868068491221437678297733677439700641789484078115096297586277055596819071050128087131597936878715434174607259950171926047428000365153525208461911573037030218127112362693510314020284147020918704124008796266906589513768350602074764047046155079678500099208011988952900015976931441808213793020543299878658409161187802478146013709282277524400436935681158658874712154660261651093416845470057530071327449360671039310394968038189117485456805655063987973253827590094853024911949018452313908864822630920958883908520986921603540788977855016349457740962689120686399490651466030595320401168789063169774979377141486154126791032556553229740808061111580141117620292078722377103316308721461499624912746679428777124992754466918196681434344673198299860270322942851928386946480222781322581193461213562834314630122828138511799695780717613506431690017387267263829436067914346385898659320811339951"},"decimal":false,"detail":2}}'