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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 #1100000004846951834 3,142 digits created 2023-10-24

Value

4514158064387743105359026938471697628193918752678840146330311628935381621696015290480708466451520855834985230758716613681935028527943935507088590427752316222351744642056516860844857664108817927692991986880640441831175471613863379495888483795680272009088199699374285733723560342332988068953452587248170193109765062921524142140759307396892029133363426473180448146979658998922122786436612428297418500912507452856995774390774582300871641046525215691138696470663826230880201357281085808083778734122349582385827635191471730859458331739250162607372214501213084589276240071274603508587092608709738645051315970276311345522100112108472861744964171027431110906572604756940081960912576850159916516892876665003150427561407550312985194839770619442339569828952384588642465742907129681144748350678623513096908623747833419994273543161024299299402347150525355956736354088413560369511454004075840255008869126596664990001857281404703197479515273028881027911958170587089931135014256958742052113920798129701523269821572131449026479518599263907261975731466867590283766368556884216280529160149267210487931092342375039418036797704571951340170060220593107575405882888134832001156095530218214467806374785245286041302319429356825768786039069428016441941366844003795405292484762818685747527368655938133813324184509520763717809009862748231618095722452889868914144439372523237183087368640900921085206750739070438033981941521348318038839155114394770625788870623708202026899805156750025713720964287031482505268822029167423633333251425216435247739774727185821990295027765808334047448973884195746302932697544126411240867306460510371932067920793105975318308331199012984795191037776187204021105742963472384503634728235593422620589523886106117908049405487749941909963483876995211195660569314623078569650883452098068136288737167098437692177658287134146836069103162396363048202527737060455722313805253977138113419862336392885215645644622649876065091642525092700950575526596991606998049732460443568472497511719376511368254843743219327681364785696415885662833235242716034406328405996708433018404194248531116724653475507069334935321024637560035855278405031259952312772924670797001228354139225800226079186093566894792256702974368994188087347006937823701103669797096928930403317605514302222846734809598739240573776604972240216093944483027606662910021739711556919568109900957561903790088548518742879878574145995220189111601908090128865910727384950232580058195114598642031104560597514053595477838816036750969653863067475133678219172724518297988747780465665298040853826872320171532955762886822597014466271638014771905014510875151143017662877891469587914612215779958737044529260692733960878764161578956205663054566039415407336500039693249002275892643027973214038190836033787504306531925802178188750600125424604653515525650615415064651164142765983984059523405095230127300363760971041207893655575766869955702355494407260793630630025477832419706507706308142525873572379437668133751179556811341407755077816862031761016462928076919283136765834562874506009436743189500938541860226615556926711228675793892044330516440877400605990312581494019083307183395835332302056198422540868037799641040289250921
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 3,310-digit prime (336 intermediate primes).

Certified number3,310-digit prime
Certificatedownload
Certificate chainshow step 17 of 336

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004846951834 --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":1100000004846951834},"decimal":true,"detail":2}}'