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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 #1100000009135231718 2,672 digits created 2026-09-04

Value

21321742334322598469152859293670109676308897235693541503164143757542546569384908286274697685677488816692619334241554375767519059907790605951870883208807763447004208514832571919016747405803147135810547493518848551274789694324772021997407580391740333655213748405661535410045463395086018352437837767360828529879776200108549282187807219228688078004855017525889971910055884919219590715885349909713436449934593651812611554759573068001537169509214019236209837656077178373098858862861250902977022189045042550317885970212918311915591840470293522499379382021334654118559764043542505407978873741074167679515022265016759227337322509314174825308207591050635820739523998843214884907058529179855502982197145027687638130494558425285813029493174723868677401018018778703646901019737057651856652484353422857448069880778100153660755772921338904243747816458180388534381530725183380609907578078898568913358800096031453430628653027167364454737833114650861245382163288209904422478257591182655126595674765624750758481969697976258013002290144479007189392872332627385121974950002140167639539075989943002167240823697416177802671497431117884225789432804935422894329483771795234983464318959959638864144398002630018335954790192241133003572724988301602484514074294862005784846958696921331024709395451407984316229832282062045218926280009826068463459047211173359459573668054506598238135284995255342437046232270216927966931498712578357564302659867863421047560064761142696570921836837156437697592696542113304801072207648615358274836089281744045268546332429470647794246322958151788210833077586509065414182580301747301818180860269390430801180681795486585313200055183960427583050048378454572654073633095011991728351304020745640063302986241293042951280918268374169334534426308322731418398082622676923094138468436363550731332965955919203385261727587739307686626311211746298829646215151157610369164542371582416232993820325914477640628125771023320985954759442489240997528459713920792925368747921600373456393159678494939625735882697841801179605785339965363911941539194707346439958590834162762466175998168132100369259880373272185874838802191567296747254764394367675306999914838441554565581300823682177314140867042638930245001915421648282880605154048155061554211296189182569607577888915839017130533244120517700678183269721091132147514046586503460404436355735539717321138857103530489791517178688623478204084562739056350002688381976936265583381022098329437087848104300742851644554267672097912356617245508101393493348315772112845855384091496387690719187839283360608250597054002451747291350166748923417441404559428606211137767258400672132509089817620043540429465482655364370905655904510227205125321360251451929582994507951
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 3,187-digit prime (230 intermediate primes).

Certified number3,187-digit prime
Certificatedownload
Certificate chainshow step 37 of 230

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009135231718 --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":1100000009135231718},"decimal":true,"detail":2}}'