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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 #1100000009078966286 2,006 digits created 2026-08-12

Value

22059242830350342517291763551413366878772905979107355574131765812206455414761911464940833454976212992008511200334052892842396927128420043858419935937405158564501795823049734896029018575754793819250488860821220942030134738822145244376884588970055290648039683871762434641574024049695978758082065702023258418799185359638818789652881646314322468192573013954349370594319987752912922046069877000238397115377996100068803912952770959114047380993106167341019885401646733641349466902808347302369753997567762118646311013409970600419044839794130007658490296653420608822904976174150051524259809534733297163066485674964005036683875334979360304602355030604487770404296914242546195484504823159815705861503990431478440176256185876179243874424644543286192683566682592700842778096499939223563063174821833052986974238319162689312487924318410900699868491180477461845402412804318720486725153761526608128470586268011268797060506462857800790274377902365464707019446579212155829080788294427720285092361038502510751317905985634143297170648335177142821411668776609678047506495816789582572757269421301239025325837468201956694857682719973944119268042688538877388161211586109048397661497481589312338250906373197684810725263864230100570147574091531366964621587110384147266870232169329915361711605629104801184022815271413175463352915954606257460005846694424537628974413503151908250787919413383792107356530442194970585978359539992471757880405275193276546887669977228766522835206536206689019764048667257610783394044995448393636796944446642260402221278428539593820227795757467150405856736342695454091547543776138276436546927663754649662403604381215348052627686354888571209903229423494717507317533809918777753161271448190411834564824178423229946914300944509184251820602809544674888171763332447852969094677499676891187429007651056143675623224859467656932611799278826047843194948584466772365697902623363953852014479766805550710024101405606201273174256118259743193810410589486291194413904331193128584635483556748961148809245706233762168595938641
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 2,038-digit prime (151 intermediate primes).

Certified number2,038-digit prime
Certificatedownload
Certificate chainshow step 3 of 151

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078966286 --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":1100000009078966286},"decimal":true,"detail":2}}'