factordbrpc · fdb
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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 #1100000008680827430 1,957 digits created 2026-03-12

Value

2968785690715542522329610692387191714462472745429231741828437060562080849339133403811735107430763050933233458892922500984797036772177147132473753269329520421815655802358010416741166255045907303974830164503641822972485390935716072363610710762723344331289079391572967933487059367159525455008189923222140635940844556342481915758596279073717280830650693915070273493437394567964408034769137430721288061086727698194139008983882051421535487118915538975813349491923492802449058802457072791152862167398881636292767857253485493741422341709143286569686464162191217653536779871728065593008540934317120329721733164307682398358847753362688345946827075623988140283737319308840870525640606099257629501471434429346608555616067691905439746249400626752471988737750790375197382694852872847670568233126715109284556344244971894360429527517018138079256689380247124745417623657649922125673214832642325927770338883685045688861243552607829323186483326339767615857562304308086725261750535436668122349230478438448795688243966197131708597222815757944881463861251992346938074763621617708275879134798406130635074039378971747011501790009784906220039708924521970552743060186299702169975282869828017632162948734469939856837418067539077099348185522532991384460364965461512048876137565831641091471414627838178970437580812387621805762680918872871194155465569917449693961632848479457767919577268391237509577917891807103322395634199149390253722499325261677873484901742426473216834161369120754498051683623750383002450073656528314324042568153399386331742674496040152446252446562098660697487575416612123089432896532910136840314406638143705899524819643926669440257102997802580201202985126017073884834757494738952182046651980599564702832849700150489270234423557461092513498181534107995034457985225509381732870572319256871590128142566160201444900709428762967343746943703322281944083418459567913908283943247636623898410199098965292842459242953466554989422990392179773738589285025284533211862745896388149
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,694-digit prime (164 intermediate primes).

Certified number2,694-digit prime
Certificatedownload
Certificate chainshow step 45 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680827430 --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":1100000008680827430},"decimal":true,"detail":2}}'