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 '314345741678105234346634651488935969383886093208043559786314405141352309627870591603213103496215495263650034922600683998064949261661891053998260968797615724475425973905612177484929635305321762168051545020427895609388385573078536444519335988555308804602976614714349460106828905544061801737931251646144014159234450877880553655903957455032248784297568679842426286352173232576353513948409684356035642350998640846092118123994110886583629270454111166523657832388700271010784485898399917314975900794576251843449067822425473484007498483418945967319727266662600984835732203689990666186486430810449648679995628140188647271494856390069388752948288336019183106963392213920061992753651783265911166678141453839574909351299324342216118686780626122937911287698789210425122581984174042601748236280089996300836964300692842096625079695274086306985435440369785609478035100718015332700279613995481293244946621077707487999333109613110232204134861800311127829748042276368391491742825392333824610533814708516819815164930515697068273224259630684699734366999257901853787536224297484450946292522709359284436893767075317377038653795602636101313246073740547591202048421422187868200678618944471366435543662568172946016860243980910980354996218013655299160688532276566116334920142260941584577742407040310641865947909388011149585124502536642842576841801332432367184031759607010543705689216596651739355986802948247776979161766324790866309190263281814615844507742825051' --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":"314345741678105234346634651488935969383886093208043559786314405141352309627870591603213103496215495263650034922600683998064949261661891053998260968797615724475425973905612177484929635305321762168051545020427895609388385573078536444519335988555308804602976614714349460106828905544061801737931251646144014159234450877880553655903957455032248784297568679842426286352173232576353513948409684356035642350998640846092118123994110886583629270454111166523657832388700271010784485898399917314975900794576251843449067822425473484007498483418945967319727266662600984835732203689990666186486430810449648679995628140188647271494856390069388752948288336019183106963392213920061992753651783265911166678141453839574909351299324342216118686780626122937911287698789210425122581984174042601748236280089996300836964300692842096625079695274086306985435440369785609478035100718015332700279613995481293244946621077707487999333109613110232204134861800311127829748042276368391491742825392333824610533814708516819815164930515697068273224259630684699734366999257901853787536224297484450946292522709359284436893767075317377038653795602636101313246073740547591202048421422187868200678618944471366435543662568172946016860243980910980354996218013655299160688532276566116334920142260941584577742407040310641865947909388011149585124502536642842576841801332432367184031759607010543705689216596651739355986802948247776979161766324790866309190263281814615844507742825051"},"decimal":false,"detail":2}}'