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 '856117975380362857345667885805376422541462009366379131950851605927099311510086848125092515221007764616430079035701344468474238607822009973822608087075981998165205461291399176249057129792763897581242644074652310400470716831595115294602698358175190870587141141519046344972155879931300197849454035808750003540793539906273336708962355692856658868699027175554914120350379445348284666740965047104177360705547377421839598173960256764101964179582649289110392087872075825276196233372878469238699231814228985448139971609618353027784171368551485302406690449929310703278679614391893981705922320122177125674672330353466452361518994113266000979935087824968194492986180418945142438286259389732825157819599543859494574104859008639851881521965038801122162161952296909638206836186896051682420687943974282337763955819718456432638070934725534933547830779405116549767795207031193841342165668198575641687484650862147979583427379174704363863044385638219897896456076624520737730993462774247175362489818895341207450282912997507016705604789864073033967842754249727421369985306108319799758592970296877626704306021503622434825774084152676408145999255309722995572773178560329176843969160657070639149633366361178791284871852365497373357576584094211877516883769770877127739103720912252074131516355573908595128578486870271125089648639854342134061224035021434457620667121671908974179722969086807474942757364301988707896430793388551779048965038475561554104948317656863479852357709756865768871736524572312598764105377357170434870893132485055871013559953454751297328200238319495972892905471663696670754368143101680285600928116934225837' --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":"856117975380362857345667885805376422541462009366379131950851605927099311510086848125092515221007764616430079035701344468474238607822009973822608087075981998165205461291399176249057129792763897581242644074652310400470716831595115294602698358175190870587141141519046344972155879931300197849454035808750003540793539906273336708962355692856658868699027175554914120350379445348284666740965047104177360705547377421839598173960256764101964179582649289110392087872075825276196233372878469238699231814228985448139971609618353027784171368551485302406690449929310703278679614391893981705922320122177125674672330353466452361518994113266000979935087824968194492986180418945142438286259389732825157819599543859494574104859008639851881521965038801122162161952296909638206836186896051682420687943974282337763955819718456432638070934725534933547830779405116549767795207031193841342165668198575641687484650862147979583427379174704363863044385638219897896456076624520737730993462774247175362489818895341207450282912997507016705604789864073033967842754249727421369985306108319799758592970296877626704306021503622434825774084152676408145999255309722995572773178560329176843969160657070639149633366361178791284871852365497373357576584094211877516883769770877127739103720912252074131516355573908595128578486870271125089648639854342134061224035021434457620667121671908974179722969086807474942757364301988707896430793388551779048965038475561554104948317656863479852357709756865768871736524572312598764105377357170434870893132485055871013559953454751297328200238319495972892905471663696670754368143101680285600928116934225837"},"decimal":false,"detail":2}}'