factordbrpc · fdb
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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 #1100000004859561101 2,632 digits created 2023-10-24

Value

8053537886270739044328603712135233817380484263280387850157976660646204935038034431184551807614441341170963503771624377800029580687449938908237733145425274709860377599936209201304853440050769837560421448974489402037721193720717109520705779514839812162369014233734944945882117196363744044558427363295151872904729205024384852695002812299415291283152813820328857139781933736712492664409661499184871677973789469966613638514768169148972032425137335332547070915774965368597144415237000656886699896961266560736248259817891534489792361144454358891174398902888442910944036234086089707821398389769259182427859833397684175261444895759847282903999527237233535013537735381419227147744305548105143185425908727411455010852104832546632358254554697257859935243562362862484835062963484100210913595492149604580161558830333585123833464402372984437656312454489989126672400416080513221147073630493203208888050294896632619988490845041900816255504705638482439439960424108717930804092918745150377857630157260704002902540019885389514287966026073975125024661435289127457638544376527697896727083976838251717901403400896720225320586238357093181868020859632305434845477415079919991731263028432824733338570494057423615249273228993677137833830404355320330135622392036500566597853508319552418152984728128919539186826821709935692770481281476597135343881889660898726676453175597316197396237083036507426533339154670468731606207568163232094872780303042750716556413943365395000385174300663010413053872124544968431255552015031251021463765888108222659905877763241215344924285757130362451583093794609431035115501841448603686456449641276514338538526914595329991064823162689638320874139135620372421919539322490777200367220839049083946799273048567469053664342686667228888124358059216916360054222565319955606593106186798512224022051552462274616403103456107945399102767501867536607884451168731986416543539988503480717858352377762675806539493847340917089557515696719058969092249633756651290054284020986247253349919516077997737523534614118410241587909614875229356483836039994838231632238980488115171563089744400680957920116097884114394143207307131021663921672018063189433816696752040794824747424855385705793954420486367756063429502714613868406003403773862695432568848659863002215589904000983567103254697986318631577497750530463597436152552589201905106610551763756737664485766000566368181640155382400488310672106752625478837016109822587048291534007085754287481109983843835348774181411556100275543926435311514687293619428844634736112430733413583957565302461888600844862717522140763891693540589199078201115323602548516497071017503317006761821416347456947652421070138562217776334427403
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,939-digit prime (311 intermediate primes).

Certified number2,939-digit prime
Certificatedownload
Certificate chainshow step 31 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004859561101 --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":1100000004859561101},"decimal":true,"detail":2}}'