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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 #1100000009054573934 2,271 digits created 2026-08-07

Value

232348163754241054501615079361836402820037418766491138001363248865632812230237041130148484372629039948284018456346496086499518897714595629025861571433870193215887714839934499289900243964680670432901112625106318082151508272508595520359853723510377170422009796895385469862962383279279909694458996106526968938101975379342646703813144366884810810540617296396181320131460928270096944910406675666173492338522147842710045911874097523348688056406945970294831791057283493793507892343975898337943397831211331454123139222835972780070693217075887021460817149079692563963190840756378051745446687535462077902799251998947692382797370262810324066903371741668610044324272475930238720282190693688099253653110829112144629834965440797076329235066414430215891026060975568092621992821445398030919863531632175434328266325071868229065881510927024004142938292932350978895956779326729756342046918988918958523993438539713111660647015094415798150436874055147368559965273622919505341045543771105181477506513102206651831679211422161394889975224792441702580064695114107604448941906218794673746333965915112511131695894290972346650736765951945261568446752178892509480678604034839090660615915935809518721141789523382183725432610519031788984223330397634400824912866000294601941546008487835159407223006893181890240126671371736614559742391230128131926093394477375183791099046609698830997879308462203408715423060581567071665427492928489367033270912280949605701712130741460290304136123505560885946680357399767142375585561793529106800874368724535761898477431300710957769568359277946093821547293801988669996948127346908907166109100521860963550950033564430297861616715522463169524530542385449423996317387981766652665388179102814675823228863280494736951141201461334398727875227695252716190942062413538020776554342532986018424855999368820144298299094024125366715217348516919631079931587208636128002713500343822754989148334803956748873386150486058093370156179467324660649659942877513878500310105163676265988552946275023805356554583368674953890595754189805798289964643887488279930694750605257408894689904656406842228920882816025614441777348393258343536554432030193743178143918970033095150547397064055132171472656100093591644347679337171514832498406131495299329736309320308232844415352870492423262421114733637259592741
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 2,863-digit prime (220 intermediate primes).

Certified number2,863-digit prime
Certificatedownload
Certificate chainshow step 47 of 220

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054573934 --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":1100000009054573934},"decimal":true,"detail":2}}'