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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 #1100000004863654522 2,107 digits created 2023-10-24

Value

9703348394116101503568974918357606551211012392342763596632755272748680763815670283299389479750543557511814280083599296550920623525432899078617390163915608583834590148278644704884539550957998358281515871379840752381238238987737373789320737718155956550576324829124971825401482108138742248326805975635841012635286499226163148914518524514664691335284273794634721113353317875361880364222185592503038074324100081201906773600661319196494653873818354591377995994227388849783650916371553986877345123214060362963599687256431756629206757988161900230923039270010109621082270040712132454542320796133252394972451214559456617313467575732247078080117926134860542851859593884676964064522048825509121307699391095460341363638416487657098268078979039380560476131803361881679377693896147670118879729042838487563627185613780468663185387777747878221669179080479143826027077374805488248435729094630600645829660639824566301979882196894325015428436767138652726484506338387143371678249469860857970749593892463990413018367435602829328630016790517700922781609781758513135837367504437216756910614945481922360554567508641254899729893763879020771686381734504763319818019993130713955150214552246751850119926991798578910105249222296249926344900930486559687927935022379170035162209976248732641979846391855826790448659768212583733061638622896611089969551311813276236361089954712026748661982860288087389472586429264670002962977530557615559202947578655188056276803172184053907676112331873846294000874495928161940175334685712379501154008820627221089210024759405238522918084237940422905731787430033192612835890055378931155231730756986218147642903236984885426354032055357892043743104750363710455003859456316299460842886657696547304213130191216919302315282090478379824140686550637137221446733762912735174032623334446274290664428897233674670041176442971015783166694680346098267183291376722050336817323971058471622848252015797468026649509025481290391770139227156354961923809553759537219362999133178546020793364527526967857869735343465105092088041733331269896662935799490119212960771516486314741165433109666757436262701804555573433533125734490676103597
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 90 of the certificate chain of a 2,842-digit prime (374 intermediate primes).

Certified number2,842-digit prime
Certificatedownload
Certificate chainshow step 90 of 374

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004863654522 --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":1100000004863654522},"decimal":true,"detail":2}}'