factordbrpc · fdb
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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.

P · Proven prime
id #1100000000904746459 2,648 digits created before Nov 2018

Value

65178602817838366588771360951319539900551718607813667194539052046181112214488442606610257792619968258290432846288136782318715132213209367014212125689277269833971083475828040706810102477546004083349953732726783081018992787383998704404129768644475107520183459594901925605525090477803532043531099897230745101694174615705613454612589094114446439772597768153474218775156171604867893672111548680489408676783367152694467696649574813703279342716172939310992944766769295902101174324311973704902453010419383167452319790210862397416023632867046121867159661942353249155030162135707622285331162487744946614052041391260772209591282662541129200999313868968656167586423796794237865869208648091489793757173886704687175560267237248043265846419294300147548671698761337412764193722427960133998539639121457904839069489307752196108048177479206887513567289127003713732935911137768312843725549720580186644917950890694070091996254560913891274355019661826902543042370750232764944388634747429249604716831352014339356674640921336128972863166047552516380838446913816573849841508044850192238298773766241322945066548107961868585884537550473139950134242772107850128111483370319492456819209930788818296621192090963584773447437665502271466879301583234796032962581406897097809843817560827326681162820771992328040345123459428098835283569807329246187232562687226777159758548629793864515419773919318493285746486045245129963152953407223322871362053008402250602124798828655095379940726312687406003964686825152673617933620791699002702355668895123190683990844934054467518138799661434445837419737033196300432264120487173137285752074707007554984750734828789966277582545504802840125926964917288784894115428244170192774169820693113716729571121534432145125731461404081016348736583705506097796344962278131404531097014018752254491675118025901614550459149066017372464451654492973184165872124106512150313015229732173880622341866236155530379801314308426287437337730335129052674307005700103270970532933995176254280993145833974323077162262061231753153434186711234095610746697876193166840724985180355557260788857758199522615384736291611236253614761354372000364693711666475091408665278225210514983917463245040029159748030577703084193829846210661170724404619753267748998089393459246353071114587084740236888700431375802248337717563971543933956383727955886905981533890135066886358057589481020147539346247697871107475625285515932352407636149242457593587115249637446539174177938535572871014463792112019047863240661116054594259783151488379744357841656503945217581708067262439196207762083521757227180547668561229420240443152935281925427188623148561683328440474230585822976534150453546383713601374528386550181521
term (17^2153+5^2153)/22
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,648 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byRay Chandler

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000000904746459 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000000904746459},"decimal":true,"detail":2}}'