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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 #1100000004882332611 2,035 digits created 2023-10-25

Value

8057617854537033631520002388876900879982501546785680567567323126375757273881012263503437963545732831243309670288655032466092694826617121792631644942941218653452508147430196095335051610268670819611010774424697442522089533886685977294301357115024778808575274138388152803748869097683882034741640524974747440143013193031064622905988466003736882294162710015230013970798692774407433932804662761223242653326188484401787732552114577958901076668852608028318819792082390986460974352337033043222214475392113516100058447280188403681008431832759475923745209202585820752342500259515661321320821848897095708221459328350910468465091759432751411989914078230578637625887418488157116115948484745865437259281048838316388654297747455172485310768738606728529156989180375916292040652800001718161635607827687638598078652390050548975182871121451054262548375888803593549676587215923685934392763041672852270556222680727252533915913219230700795446962952611075018487643723444289118759718122619092635994823955408410282766726037910743729218904778691230796541960687051824922278045086775393298019154422160138251885644454851266603206951202112861881472501038700167951169931702712209712366845877390083730049768681040768579584443729515867062227844083709444944272768262453591599185867350208302982923602290289188457431254154890420443706552555995263309270391931052284929540712939074167776218330970888480642979287581771468488954291094640671333028708890202525737203124102605709548329253923200552219920439166327971039884534978025891154975980157052903083076920965415958837288657402762569275489098806909176045512735576010696754995323024620950155180718773004476083025838319061206659718324979934799287771876959243702292537493052824253196199428747928552335405325457765826645050164427614989934371806742461860367599026128452405606295183603690941216903246311640741434932448083456837612798507309766075108344600419690563946587624659766418339054240521065833022975945727753184481463867004282682927996156181585277841784651805594062012152351014038983505297357177895848305803714442961251261979
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 2,336-digit prime (327 intermediate primes).

Certified number2,336-digit prime
Certificatedownload
Certificate chainshow step 44 of 327

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004882332611 --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":1100000004882332611},"decimal":true,"detail":2}}'