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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 #1100000004912741816 1,807 digits created 2023-10-25

Value

4328895073741651909299365687877987957764010636909421915099454520530055105046276289018538502273261955269236419685953253680678441463400600320064850151131374887170403050729344147800253886061381702448556524093560654313571428575142434606096762189537646300107279720439060734602254443894289263296018073447563499385616257603284972304526927963169620398233854386481775218393172207556008512147407012472770056078075196930916340289766881291617727639889531330919573038168401598101572233865141868137001430980235492634974737621946711523635471753783831243535314037303744646916754066263622963875166756732074501111350278406683856073456771697379874346119553456711663241740989822095952761046154565897609767212659010726150979682279611955558348332360378465596202315839498216514334996306820454082556284844252072113951241522249468792464971440353851509355894306658946560623970016923984222656409265717295539403858590901242304188239132492582046348160961816399029287750824482313587186828526169477942775970224644600160253368802814280764713137958893783663468832914335123315462628876600139893441000302107085469489749587157048070891243604767765974262687555939201776903071129667027006577396391652994631034231322066020983649928926543482343790121198657157634658036638653936046906267666313846443623310556294488000162414733472518463390936722741456487748698227045756591720889778707939700477861947103014235979337381714863830660339362291396376735955174688006545935608178421434339126853251284907488519484201726427074315386822775728246933965906009008467723451790713788851012414715750836382295239414930251449092335195157741404005048967874127838474183377973396421962582459531702939176737933468572379933788023837923145036793882233047168682855612321500629442112848726764892362338369880860270136034736353599129825060505650152305210135270728516666029647123
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,007-digit prime (157 intermediate primes).

Certified number2,007-digit prime
Certificatedownload
Certificate chainshow step 15 of 157

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004912741816 --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":1100000004912741816},"decimal":true,"detail":2}}'