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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 #1100000004824081443 4,086 digits created 2023-10-24

Value

181241973381604090549921816602334740355625187156545021324796297518010685523399974828223164651298137026929091561608239645528597115601144689083293314729269368387921049943658018139021389267942700343178908339148429249968571459712810398730751190120157522118265735789214133813942066857865345212526251544311191502086446589088240514631186988390436690487026036062457686114432972680933134412387819255206274812560471847170555888008709878746984340963845951163336238689945667934768104653853600503576547299364247914753776987343610557688555295445642437494735201263405684535089129293015901597468442818710604053011666608278091957420241627364774502907840083273676343545712166939506110187740287686028334565041404976791214068090107509003453863118513780294105810983430729302459520445492279478705860344522230267355187646323394054928628188043856815635645310859008464852511243536541732319359082451988276620341252170234431718648635068273609156177146686001438815726821050985190765078826524310321232858725991812390234895030149323946193587620974150242896057461015481664244727583639379542172759020963770284144252321078739457272926601143949232471789545037512803871733726465521738145152927383059182041251779093550090953002207693652515484597844663483366587128287778296874623322337985048465823738992801330272699345674009757877400665617430960483455059273447749197988169953773376488836295214582731686835712124971954590809216467915875532897017271593203592993929677035343435035529424897286233679511137117766832521557606129201860500978672388554982075199078783571664523313201935624283493762089702464156901197696109839745617489838294711667198553008041526164459794499419309671774331816217394253589343966577811292692149265932417354646464154493431691852362169377606936873538596896140091118202149716252419217961752819178601874257446092070492952453004815828950684843916466605131844501015135792688776791952107477963641178306678511132077631392875016033462250102702148705092216636558123666256289097759781788406672717287417639693834955479557822119041650475839808014249452899940730996492723392632442680012962814505056850173182424570702137996286104423320225754013805909745930805689804428191174655723616419489375921652474074276078997259869310281822533003736708974934180578278784530007455212416579419253350661892793359196427794352533838888357375519819183888182604204159836156603699149062013250548140819034841266646142540638850399475060803623755817326224638892827166616892867080378360202981385399440889282385480929321866020724208388144702039921893384000508401586000995888748835076866645054678057533208935439788937452255534705598525292850693573934002271467971513547571556416646850428226338664280503115669989833417482293707973153556037738949414535919273245134776148140542586555514317724778210708001938443899362844615109723329998304592827818150440379271781822904139415818284813312344054195078838557534532067863320392968933401977224132353855673884742444360147644721215623875341249446936578197651764280262502849105452696328215340732478323075594398465632007050920888310773534761968350818454043454398614083375908176406452107275931351102556967437886157130958570490479498557992467536414682332875713227073587529140334532528649806521083011333396081210976348492326474579987821139246500797800117709737891845929013564218017555331644262370593034162072580178402140935058434182708877684851564189819385008885155664730275365088660850039687726285238379908102221090562368188119807272422276244647370786119496978003136188817088798007412245664423154192108158888592941558427553016026799362356055877034294348139742156239039307126382736175344502828300428500306180635586143978921030918880253251422610776656159589603292645073805316843881882103886282658906551656991415580199580787049623381580081580244481200425425263466494422762465912668949795188545886250906077684387507500169458255412835693788343545797400886265294126981526914631609640932326545206585932040637908121998017329213301557096814483759233874439458387916496328093307371392529146841904993945262409497139941040391226532819128904134146888446512710804303980579912110009301718791070099226075447530563666857656789491
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 4,478-digit prime (472 intermediate primes).

Certified number4,478-digit prime
Certificatedownload
Certificate chainshow step 38 of 472

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004824081443 --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":1100000004824081443},"decimal":true,"detail":2}}'