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 '2784178789072931526735367103532772013236258905587087564567841395723637696362368904034734420521750659739630095280873914050974445700720485843317451498244566243451719612100278346680317055625394643149432643980951642979575581574757260778479813839694417646055443468093180371931682358988020382976214067809269306048703562619890379531092616500892873088953920053914388260107588051591657123893905549880829565609369624402142833439472176256077931876740607915697847623668295708322565273319080742406346239653718068492563348710769631129301594472755372632274095225423444726168645366211784284579218458557683949181724213401061822312073606824094311852942819863181179899202035838138956183366306130182830424803912542837309891081831500880303980101306871927455755423892036792489858388131251506586673338168879644940452721973384842306886627794037370407548635388184367967217671856885508676809731810490778341557060575076252414164919081037746466589836277877025055016075955151927976020985086961654606355043697621649207783760736386993457203115459199686187433050316733812672658476606737734425656034244729011786833121634167684313422184405591365864345665158958428424881251185613543662396698520620317037885332235190582505415856363442170237988419858790940617455266936168469598196412941338506125422543048483056548534359058424541946733580889619602428540290229117368253839143631117223833906013174143814830304917292569076876812852244111881309446324457089912368081907891468596262166332390228925922977172810573897846732147789639992981425721' --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":"2784178789072931526735367103532772013236258905587087564567841395723637696362368904034734420521750659739630095280873914050974445700720485843317451498244566243451719612100278346680317055625394643149432643980951642979575581574757260778479813839694417646055443468093180371931682358988020382976214067809269306048703562619890379531092616500892873088953920053914388260107588051591657123893905549880829565609369624402142833439472176256077931876740607915697847623668295708322565273319080742406346239653718068492563348710769631129301594472755372632274095225423444726168645366211784284579218458557683949181724213401061822312073606824094311852942819863181179899202035838138956183366306130182830424803912542837309891081831500880303980101306871927455755423892036792489858388131251506586673338168879644940452721973384842306886627794037370407548635388184367967217671856885508676809731810490778341557060575076252414164919081037746466589836277877025055016075955151927976020985086961654606355043697621649207783760736386993457203115459199686187433050316733812672658476606737734425656034244729011786833121634167684313422184405591365864345665158958428424881251185613543662396698520620317037885332235190582505415856363442170237988419858790940617455266936168469598196412941338506125422543048483056548534359058424541946733580889619602428540290229117368253839143631117223833906013174143814830304917292569076876812852244111881309446324457089912368081907891468596262166332390228925922977172810573897846732147789639992981425721"},"decimal":false,"detail":2}}'