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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 #1100000004857159777 2,121 digits created 2023-10-24

Value

385932824579863692131112590378560566275847679992470349100265707269778466420804248104784955760073881366801906847920396651759260367124063557188003293658761988282437869190965141182648780116796637717078968835073928614522366927201393444617497497007472422782391745947324988070999146195950644034162960635831727768056370705363043455105501397610885740963011162756805228277278247839642959405703114429410969145962766199676045361027222814253103730655438083883691382543146016748704627549831606412205483447417322769773349827332284656160317272757012888460986816495918231697915901668313921858215926823057450899178150307991864933981154718292239735023656670291137707654818590743093042561626276222739828212804857577832927754735797936770006360428932883878571678721500853609249622954885474939398553785632817252682018708984126641398542152996003232852905269840941352673168222641297950393938242533832564479817510062512184317194114779483101569810288585301918235187610590004644370184201298529130604353592207251998895945377496964446418167957011872896169945396875783850894448563111356906559433369378463024911838838451690751596584960704213103323132208584047142104609964177419103849892226306714431349252696923498133226474208063798336529193327627361941688437842241683832824137582216340442154076625917560592198045406514584101600385933807744474426200497131698420718090146219350080226336137162431295885463358012691214588207181089476836529375746383717279473806531987288971956157997643514385747506861476914560199552274919771608706847134009993322283592712080690642610296493219518501498833647639635254911905384437405381721036736382619071680556477037341969432991932440487178542254288932300859558452983831914434267559299005207438081121015242516032357081554306945084591961648834708786999856028325824936995012492101408536047189556480128081064152337257885561622295859655480286962662951062058314579259427300132086839878999768129577167848879667971499325652859268825264401816151566303139132174593128713922331364496843112965042053127654419714776390714491652317524604405857065717614597234879243251557906292762602667176433696481558758556659421113624480798717742990444749
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 82 of the certificate chain of a 2,997-digit prime (315 intermediate primes).

Certified number2,997-digit prime
Certificatedownload
Certificate chainshow step 82 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857159777 --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":1100000004857159777},"decimal":true,"detail":2}}'