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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 #1100000009051496106 2,753 digits created 2026-08-06

Value

51102392139072386531539795260221401340796039200189103647524266713488441013449896351815444566049902285671172194300577628062603578259320280836378944126342840446058133408829049658033759612985424802169335663057436428693080636106676331209736692704200695171475184443702997660185296880721008387053066446694524488946567829210640647830521947199240426789952754936837863380619676087111420180039868714667221198463208935418674293745525110405281560904626275215727067991767700742769781515267529581013706486177738835795737979923810185181356862822455891355539240798714238460079467587205883673815495462747957471686467374917298517296223171306168932182334033373241544593304429040798178891157071464380213779941470547924837482928652744180501595489231674867705310785477539841042476639687401743546620736202889558174713162381027955218465423396138595454309374918873927006528892622357092203893642249037953594498145594957021784554365151778703993081120858819854941073905627021851555281346060794204367435177269769107388536976637370450892108016906702862456151132251662363295151496352959950382597175099661189156932592392766155823829853206354371097526248355295418260024470861027698763188553922898112752298814703253850942464373726929722990713215054515454116818671012126391444164157018565155961633560172632730450642908566159740764654127089718384360417034933144284483804848798067497393715532690330734337992898228875951056086740725888420748250223108307803112119177560334987693454598777185248838506169478976374306318708053268958705798238527532456125805218079429767582370986255961651486951339674100424319268851555632027698419383755122175904870220172799777378813282443809022105428493621332778963478016363158173353558711392219130933540946440779436655432760678532724958992787578971188000579225622872444881328870720269338844428990458223738798339480700695005035492053437049485241538795381815043980573564310662402330925646420215674805540214279532200170751360603254326395121716866975943584319256358753000589553041295213008023822661012739025239171846380342368523110339755265796754772640040039151292778155713227425246744670500016002202277277000573689909286713828796223658533087518389211177361346954507430010926111268050406382506448955041150111176671845941706852456298046906866595115369593967681389095373446699953659045288709203808767570954336341943181211614760741250621065768426902486558547865538320296116311366222986429358502501245357044006218101738164352593134674007313644808744273802965153807011465126217582786823134443650076541888791654386250262982655529367420011981785339038453567402017795065829350929666522160010960093656410642338213766090757715344910390110860386936275264282361247016374231987543576933257501598967206564845200945126825682425408355774675663925788696399550837576197706630040389549
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 2,820-digit prime (205 intermediate primes).

Certified number2,820-digit prime
Certificatedownload
Certificate chainshow step 6 of 205

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009051496106 --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":1100000009051496106},"decimal":true,"detail":2}}'