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 #1100000010597193439 2,793 digits created 2026-10-06

Value

478736161459682569440966404682128755874397517266689896519403896200914686439842697063658724404419537884036254024907111999578049924275344680224168072936636496873804374953017352456255233139255268357316359792144659904619055319215857309200759360068001140393708596100974759096396647331168506882755753798230791264198154417577672329615231748559295865361303858451868488747083814502184533784296217044560634481877887693420594257886625301283786638462759301586311213202227094423370617052829986605542094114282685433646116499656614024256507480430823125099230296305042078949557683409831834831645682963250552260283257465806355486475402908023654872061274011795980664403091027525061024132233983226533022432383514623693563437199838630151239741635111222562485076461312549499005011122228501862070663503899707351456676697871896776732494911208910477427863422322174351955062668099139306162551270315972007133638110990300250174069596427292744937847039035298253798351042846720629648389905591188406182944486306936087161277459999767188951755153384510252753786862679509973298156862210014479485484098294520428863458150879709383245705774982732780131444095725065157665726081478538827038911766559105969262177098351123799971140382171702460950198903943900101247205424554903288024908091642958661502871246531996380509402993828180378352870052877378148109044994151591020932880810711307446334247942532932409290027815592222071893946115384166681409333910385763526341999493126042647799844668744374654851045801841836016799510738482926698859693598428841171060681489849365784930441689360172718288320355551650728161921054649986155952620598445452910806997293540214647571571345828359133350270717273509602913199966661126004900921440001265500726132914152942526398333258962223721325680613333437559350298747464723986511825264247735068248885913197541745950622084394736743677944106396352965695469896096118063009550964160545134942954567440592009484209355682114962719257369394977425647237274624310567717290334590511519177342013584485118226540607714869722845409777045381705120332156502472008183062642206570176971893648372220555707500065951681624518517221800826561636996910550298636987524562927274000976201701059750025429826031353976469517443761448556860535161165881337666614670900105395988969247956738810511358982964395258237409462891548366598359315900740468890793946877003673142540657975610290058272219995120101722400099581982324853266195062458319801615332519425574725374011290193227984115370397109254584021840565844260657841540939815643139363092894625459622050349231121593302413090490173652414789911731553928264607769035752089676986385732224242625501783428923311429669084245363178897407861502560961502852028666320823739377413207377366870476103793201493566227144317993408756440670535454201075394389910688922946684670509866531591704515723601736503513521
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 3,195-digit prime (327 intermediate primes).

Certified number3,195-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:1100000010597193439 --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":1100000010597193439},"decimal":true,"detail":2}}'