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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 #1100000008684836501 2,292 digits created 2026-03-14

Value

100635478105657698390160505396281286739321661940286100360511913405268492330557720331205937323680723928279965732973047667011181617854348702410264116777500789968557007015375479546551355179614954802640765372796463790641631315036531066901674951525481470109278823410339916602015774623112267742050880201759563504390777982573592214245163953733495550603594320535141197495433486004096814718020875077124309584302163082484521754758782937742016957803102397379901597002985326230820943808313480256668151322290654323762564686994552169655388608538023685608769333743496303662964925821756510414968032210568536567348775147005836969351913333718188688197412132476629826403875817493968655710733157911311068938798171559534741443003310022875733232496861021691075468575294706338771516687632848316205001630650753538736143009199189022298676696173562890207212370530954189648925987964699050983573160766856437863083737500750230653223583690769849135946768210157403035004389775496122688196356340489479542592803470094167376494586190384245296789931234254660648724661144308683343013292315993911999844810360195378875097492389154125577805317835129517255141437513304870374414756862138901911083509125595392327540396532055509280024175619614141948650854368216541937429907247333248351649064038868443515808137183877073607035779232579382910559765784944039052695621350644839830658234517076769472453261125202042066820800751709929543483634418227992339351596211695140096718003461105371729643036768300390951543796843157094592683338929152180286715130780537389242861505206778577513234978140392072921170290896179480357155950116264890690692243708030404019610478380964144528551753066224109736708739138539239462664744800507559655022470073767906941927062283460551865681498081706186095842921506048402261012487489713659349877336281926134918907641741449089694187068500183059527522679370070835863924858309642803998357003456258976654216875434807568163133813533110492707283933462367535811107727515567765185454955640658393782501124619757149272195739000372371367245406643180738092139431007059289865834509646554902455396759068529241999265321022489769996206387528298678818745881905989349227647210921260693812612302019037413765562021646470226631167718577378311787214124591349855268779675893278922998413340173221213933476849099658933633035201306179880127747991
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 2,885-digit prime (223 intermediate primes).

Certified number2,885-digit prime
Certificatedownload
Certificate chainshow step 47 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008684836501 --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":1100000008684836501},"decimal":true,"detail":2}}'