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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 #1100000009059191320 2,473 digits created 2026-08-09

Value

1651822362387087915130591560071822793087414473607215324328315849291612547979846501625240857357693729090843325005620649583595287023328478609102957102310631962356579702910488344678609519932622424475609211375653611450987107991374436159719670261536045905318499873002822070951183049845867043736849353163142771180168235455854000919850496962730250359182368584775442719857365839120773397651733050423499097558172945833046606021604586069485995720480320440590509485111703852535391625235628303060945588343518755003261748382768648872478049251332577751178229985610944455499094896325600623423610120406459110848756402732747259829389925234715308892889127611568293825994983721898187457075844212988663712860931076161421737977799729695230907510036995272290115790018723303759674893475655762222018492256639878074794300032848208722030698334955339035909983339247292869812029532802322932253236456372606288353107051025593825954506779380011718545342121578552393645352239970165375423916039730820881350052111332289486782193305613803616217540464453449180458179310518410865269731959707505947866054752193234779718051284909126553811977385192696019569553588617113750896073800580886083001566970113701494281036667402245549099126567024146345024460304897601769555316507476601372430483830005681729426848170016086020444809246958311740091150874267365984785437173655295342854518488835065746495067090654743798487514209410330512563014083499699373877559485877585944431770352703899062628283896508291319094051513987511930088825453328226874641217318081214057350137806301197671017600886081441298095662837768570271064120872331685116204880607491187927332287291963419800059648182701608299298815259355100963539673500195131185285467990298336016395841133361588740932581342349366969138184180339931411691057459152474019609527904917488692621408793840618972926605927063342908468819090358302736013570291051467693585102049344986106263527751266694815510344251127187033398621436546031842965252769432250899498593562130336179835673514069260654384654624418157668860901018047382605789863931586434554520228037309566202516289747508189155957512028750668672843126714340157008854628363190933354954780223837236032057553918687491469994418588585637907437307267995209824557289534284307684316266604268413642851129496306256601011960061276841615122855417122392063890247007888987969245337929097384320799883976300765105214202569007644362255935891962975858076301683370744593734692567335021428116979201466723288196301078142686838796322006286814858162091293
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 2,609-digit prime (185 intermediate primes).

Certified number2,609-digit prime
Certificatedownload
Certificate chainshow step 12 of 185

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009059191320 --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":1100000009059191320},"decimal":true,"detail":2}}'