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 '413801855184442463273957342683354310321106577454619878766676374983326810987167937150590244749281907749754945200600207465885470855814478238096598449015626429754949585093104468713753956814957306749348661305796895627732152095829820012167959463261508115974129539226129884124864997700601184222261370663522919196371765363228133961435220693635107180553554021404040692019275416228453720780954291823490971470479183713295718881484011333548202151591067892142572196668896215927051817444098689056123871459942110459255003981420386193015215816504586586061497120940465065332719824678283615067727560675235020929314443425061367496938421998122838663564900245054102444699898132768371910041953907130112277243675979146066440349726294797833718550999710844408643854251651236428299502696992637346339906056675871854035675984050875647598116125914746026685563942955372484125787053407808143792365324049604813831407978550540874298133299801335224375989387825106854307751658330328280210391694057688503643740120415072638888507822564949021957551081760440738323606308955879307969236550695483569473970526827433496850614627893010223836530586072429397179177867208775173543006903619680340127277568312008836038184182657389061322999330505693472914556760867055210540960708175215718078062175513496530174678288094293405246650539759640910739196239244676736266469517718836761453261869620599586045902233547949524973449785548509132365545276590147809443480596306810856385214050741002922593283549694324880637120636071937783896510144794225115609855540557425059057140872571413929715578654150044061375555152909211227953308121' --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":"413801855184442463273957342683354310321106577454619878766676374983326810987167937150590244749281907749754945200600207465885470855814478238096598449015626429754949585093104468713753956814957306749348661305796895627732152095829820012167959463261508115974129539226129884124864997700601184222261370663522919196371765363228133961435220693635107180553554021404040692019275416228453720780954291823490971470479183713295718881484011333548202151591067892142572196668896215927051817444098689056123871459942110459255003981420386193015215816504586586061497120940465065332719824678283615067727560675235020929314443425061367496938421998122838663564900245054102444699898132768371910041953907130112277243675979146066440349726294797833718550999710844408643854251651236428299502696992637346339906056675871854035675984050875647598116125914746026685563942955372484125787053407808143792365324049604813831407978550540874298133299801335224375989387825106854307751658330328280210391694057688503643740120415072638888507822564949021957551081760440738323606308955879307969236550695483569473970526827433496850614627893010223836530586072429397179177867208775173543006903619680340127277568312008836038184182657389061322999330505693472914556760867055210540960708175215718078062175513496530174678288094293405246650539759640910739196239244676736266469517718836761453261869620599586045902233547949524973449785548509132365545276590147809443480596306810856385214050741002922593283549694324880637120636071937783896510144794225115609855540557425059057140872571413929715578654150044061375555152909211227953308121"},"decimal":false,"detail":2}}'