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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 #1100000009055089188 2,062 digits created 2026-08-08

Value

4447109169825019282497458736670131233734955014458747122025652213613805320064276430549474033241608817603458793179490744697958435321259690157851752882071402332668362498664298324120181067349039672026502828477305528861546056232013702834398729711971168933287651243028374406316972165149590031726195717404118682248218320353421100409710487318278743806705857730142549110435103137410213126594961702704268520477595614397091597708420496781032488956275417330076084161451255464976655571906257941238247186513649652796528757953101478200667825939508131996792557492040895257467291593014685054485870400209041904059334852308145769534303941957283426049453905632159392785772279337755268388746362205839080736401031337334420457945723308992238456442329954630067119644980241019121838556846729448632979953461850395411021164726006867192638823578728545617515894913204340761743636719619489526688973031651224446333690322777688629878896795311811299853330434371658894520210008117885407442623392776441754970526119596104367734579009696756303022395143358471297791797757963273878723893279351730641299897270135838874342868523502745781186364657058452547380427614206214808389181465136010534531063656520354007333890911047521693326939695335004776311608316720798336566752184692541035614229275405515860381315171364720735485726644371522991231442356136234680296941618792681333921177396910391403194451464535208651993864724821848182845486913285839136432050216608193656593493479518798444961077634071951070905067583322693519060689479634389544236423740409274003034837440940525985536873817550811194430114506594568770891300932139670310116134622402393579038557873123514051697327345304129531605736256192935743666593960859691630809757333241308729051658145416766507755004474854464121413164774229255457725651995226918223388373112413579435811283782617558152675521208929443034901824012822896939872787278838065578057151608699670076929756900906013519583575689462714445002874385078317924254402417584758466848586429346990280430151655269230644236108562747282553204598637044522305788478931213121204761850547744562154002963239737
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 2,523-digit prime (197 intermediate primes).

Certified number2,523-digit prime
Certificatedownload
Certificate chainshow step 42 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009055089188 --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":1100000009055089188},"decimal":true,"detail":2}}'