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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 #1100000004871913029 2,161 digits created 2023-10-25

Value

3190286516426147705216280599230797677708368210794691830477986882844345797135426750419776788373101813661762499108627263915519983532020078895539220771668543901493615693718384214021341380992498258917859945775517878457818409851963954149490803288557928407317296663591282420418972998265823724977109150754601116890478106177278387540071750790196841236974329435805997378762789176111750663304947570652862159817977492355804107976343665261359881986707599583374172079483874793664322830699797570171910202115131233612299498343567097924719272058522743844911353168698619870162455078972983373383469773414930548676552633040073516119106985767734340534543800174630556505973361190648193125686871199193052143090259386625571160237440043645954940374513511037192893891467702635048474438507845298248843492079144761274420341638423962345607237825251138391225082295111598982775695168093985043454728573052667748674405662051690111811988590704873748300603035056423294929982198391548641056486259828585643222969320971370642702704794508773421090477049199621354119449405976809229308941645757912085417735789481078113308451896496411004499255666764949879474473649077618333843082964233565033555531464886738202603975314146864633523457218708846091755937331444447942690776916796317599456117120104911587707266570031910599712411136574332324698457950028963385632467074702855467957342675494686986995805637717720026995688614224778772352040597359897187347555826744866626663093767015339211779758835390362024374785928388908445506453189872537091182367979312468447971869168406781122220144983700653971162480737434360361190228899973710544511380307341418761207940486358724217932286488957475218413241779945628151889592764245400982648077174036384488837860860763549325157746862379415827529113018323878376041498151256949066264292934536544362738299081302187617726240545276612724534505449502274788002575066822911192362217633594541665696877345402385352186491898489394627638277586161572874703439505683179295122575956513922730614162426973395313500404702709048142193315993408947932318798798537119256678691326816783108074530428759673468159229055112407193164193531015577985099806421108147241649626566638530728863252616885244708897
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,588-digit prime (350 intermediate primes).

Certified number2,588-digit prime
Certificatedownload
Certificate chainshow step 48 of 350

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004871913029 --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":1100000004871913029},"decimal":true,"detail":2}}'