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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 #1100000007222400871 2,025 digits created 2024-07-08

Value

121300031860285678267383446433061786145435906357458189875094777346302287277168866582488885714110388665131881248481911837509253076952490918547365260758128132819192788301402308348377550508780797632703718051202242230938897696379809773940289730876411451940137728633039519191606373845729857557987635290425167580393685115324540160526379526295121392361080358718368677649184897595429101743053155696610256329175571818331503050475707441089164164136336752857635186825028100371008653453573003153457664648427267701196600817602634061216018819796150007185508666031051105421942418328126588543960693613867261351506036313332378996482605271743286050083794293110604153797626649479635494635460234199713749783755093254218843289540611228391908287045902922799137526768073299514563140558597995987477971852921216442891116568566760462619945396892347272632091598667386768613398894033172809646441163684034318554378463306049279184372088865454114987208050002974559546344267354783120706161998024390724298800297778740152907746118864443117384760742733823510277698923329722181565849449807162813400201021594062946379056333495681805193436835635165711075817673455313757846535616436829978627625784629793733553631018021204620512610710812389279425401888896732421134829590357911161510506425714493389104663514545768115194313698447465896592045678864835598168706476406305014039527201094391062790369175138873270932451782208625367867731290492141036361189620565461579011100516701170809909880454334833379948147494330865762287132124508038175787323605960640507738091690283238592567754346459456797961831972210439076877248610385843943347025079600397913631622336709347694148826734917663504328385318620388925777532570607695338606581290203182229990979921028070242959251332635313184747796310190222363479094809687665293863736951252741285861152916934706938519975154282595584975561548681584320657197859932141096384819416668992728434704497886463072785035496785589574534575000342621135390490097626907455632091910776430263747919214637635032714647072045145780499375976045210817873186068211
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 55 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400871 --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":1100000007222400871},"decimal":true,"detail":2}}'