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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 #1100000009055230216 1,734 digits created 2026-08-08

Value

333676412259444748097011059533861318990475007521516472047661881754705498077661687836993151450033116398444232263062052264012878553789550400181645002635153128050920332751060847832446762474760667982341618805351966311066091918941410356567980118003418593078323541762212547036297712144082557848403619282089633139869109398897462523380476298981259692182651592604972762877714744181064957573100669798501604723405726679951040373882330824200039061622723449231111119469958661968096022747310379371398102667758296803211653211551431779286491660800604660897010619839406235097127603087149045519684090215119612245805635854039977673315879330056709042013210700314225099110601472236602373709120069465878533223645054290514867121334954254233987544632217633263667006457625201239934357593181617833869312056322995862789428855665015711643690492930501862001330340374733246953440104883340208232576509587010400220996645320257722123715768242792330717567608448819184126294554471675205135729172358433919804442916163920103954295452568693167462228888493199350140144915386552145876572382634667864915936871112924507247672074903493569956497595089260951470719861896101232037789686475646742654169696587057827344868777435256127000224630962066820698311991061469406716585345053834627574290748367261180242009564522707875061245096752236251308741251477615002259596052676411109702033366818828276279081897865938682284086678305976397789067117770961638041741096125378152426050240014285214821258258013587411994610797481223782245291829538672971246716477569647436318997834357787216071251098503303312291272571886736612631856021970316968418311641274714556483716233815644066282177559131461723537013333913461911060351390361732561374574243745687057653786853543469980814104822599788748731868601
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,319-digit prime (169 intermediate primes).

Certified number2,319-digit prime
Certificatedownload
Certificate chainshow step 45 of 169

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009055230216 --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":1100000009055230216},"decimal":true,"detail":2}}'