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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 #1100000004912872115 1,887 digits created 2023-10-25

Value

849521470965855917514618647303276504222208043707448184053090405420251026281626842188876678655801780428710797648023059337050918763291881192732662720182070774128028239332521815275401961105830725748077596453639173598384268693427608968710351253234388174825557692298177683652855650180910366388432039775012142972104311474061161541316817534466684837094830992880763190039345838247033921491371645083307244228375057001001802638913198193566125010066912680870397835503973974061734951634331997102353238153889526226338463022501492220965220711077414434296943347336134440356286691746815014501123789299632232746306453579260501771912817596925169599661713363762869990692338141876257290104218765198337382324925928096768496229297748642332367789443288078151539731612098427403946273032753818198006039278319707064287687968071330982384249736035922088132506511741235156435783759934827434269740564241145560394035988145452063278601447979826869123698269757380969826986910118314196216660791940716898138528374336345721087149903232907376446789569104933630001377089474981501798352587464793850356857425284977343538378861391372766715076505372675358750829821377660613269521834637034969262042209887489169049398971250752797315894998633680401990706898054156894468768748140361758296445603081298142952593060111488772373134796643861384808957822082520044724589012813893461345606415264143501970640065539307276648052241132731393231314834291231728809079649971204242195234663118174362084517044545025559590437694330032029934028462338535554676418382719190095701839691638092425311246859498913567000019332135819249277350747776295078587752774425962480256566796555166275770352764337526413642154193064288041150310482039287400700233948175265662925181009936398630849401168670164124867949902481307772634268085224723504284059570021598707966119020369035514714335638642604261345527323095510697996718324513770618259368328804036432230721505509432159
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 2,000-digit prime (266 intermediate primes).

Certified number2,000-digit prime
Certificatedownload
Certificate chainshow step 16 of 266

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004912872115 --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":1100000004912872115},"decimal":true,"detail":2}}'