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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 #1100000009009286068 2,324 digits created 2026-07-28

Value

13016842993010272002560569222346778190086762686146663524820304224695426939436085314820546022866347034035705621727511146844886687804241282140644840251475314812938847765375690082677412419387547390865995860433455100504593019520648336105138473022555083727830764631558237457469201109352861128702123481383764121500184478945732396378682330841609716721400387279399900138942813739354772957195520711425873858819241728190204849805085010434102615107412137372776175582240395047913714540609993174623885712363040516670261361385507626990281944535296951534172068269752816806102209777682487912564266177505499867480501116154144143617683999453308825277161673494908236002111066642652377180615829186903991126015489066655010712050872132649355936420684680465156436151230462424598986126120817185686079574887964840065025965877351884507646678619110648206413962100803909508737229618745326064253199979292396993518213212170517056836754308915007712769888520955866362376233572215914046384047655542189642992348598568624917521532141215512843522366962334621211119725014778425628962865805602839510801553354684380008039295983024151594886946579136092607144496502589392692545071426202534668469811304667976401978183097643062781844541405401283691701646827022103264007849513903157430739531828454026637206334630975513653484218486904100992392463511009057722432643552851441746766849778112723812855957426318593309197958098385100280497156076321494138483222067363925709650581963448700318467142333980619776980470033895536163480343452806574194351605497202399497213065014050071996138159509884711333982280349235333522893765021077659629299119317624620276971320459992236045094370902591338280916973307599824443100132208837750312442121854892159549775305617186350462544093963593296252662962651930198395064794896796833883518357603136451690200681578569097130290734235422307778701686779415119256928946166597103146261813887420729821478963451864120398818773466982871980277512168787777135249080680792495448942678355993954695904405591978039732268100719797185370937663939655555076759782979259800741260718768433481652138629375498139132087493028575723122957014178227765656583522806213050762595537783261511505135827340102337313220483645533753703365049329034255543769515418577759327639192281967888640534061436059426071267186307763401972147385746051073538286572677094156350660199241892799946493
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 2,685-digit prime (204 intermediate primes).

Certified number2,685-digit prime
Certificatedownload
Certificate chainshow step 32 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009009286068 --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":1100000009009286068},"decimal":true,"detail":2}}'