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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 #1100000004829868351 3,369 digits created 2023-10-24

Value

143304161220746234866845869947765033607295709558304603463262667165161653646320472901730201472861097508269375457841302637073769791130265628514770426065568926188227470986048101116121975429519050565855359217205201411349214135258903042101367555290432974448434439676589667536002130668772175577135864759175847489521487713537665741872538467717403367677759698350527057076381137882645703821633204851169341281914114754065166449168402465254797724030385531842557338584446673347870515103395758724603846600972978646763202007086617531589950018982218944353285149002979736765211171742923986986195776817085597487646214308653876357653407002243645235872409732578289732995035409939979577646169878655599711499196346980036114996748420438478777171799285747673379746628046847543503828253542773069928338216566180378774387029803431622419047930302368488793237393854546142310209194737344846369939040732471627098728025331749359704994290745560841185790431706979583891932002741450227538426413671175075120406811002548901203571254905957373097798928234066557194544213697101623666967579180027618985283760726103956778493495737084905319531567828660148535463459016957097911236534960792424447764862403407593572639521125923391792171681580361072886861211907327517968464766769112082992727929193779778605076445852108691543731128541344967481410270234550989375202439019604967648177437109480777402975319255994311781779976355753131293705554970169915809196079435786329723198060614665227164707137209033271912195502420457152708065423252652605855262326706062054888303637704633923062168815784012758089021537369602816800720862656154706806810396272986498313147075347314124774899173048490410953233352646792667076684225675110352354521994485481047058887824689402578833318978133041569496859645272616432763862371037927084195193858930593079401908227215559336258149872356633421643715994050520229070828321715000724208900536143301978491776716973432152392584558032950466813966515407021742672823064791236294515652741989103976709750884062763993863339903467294670749419435126944507894287285665811233622001977737433799684744978278305107588126504988437896113571396094645227247899658293088863553724372889611730424948614626693120752456679566285901380123834487164377485172635418949287064746023084073378123367866090465390725137211523029875576792324203251933252062766299594395674397512706012910591546546281129868727725267293874567772099233078630616774692838269106279917761401257751142161589188769586876783896816460925367564078980956173436095881513264016939187402646947638769430661325296179847458250577240009246311380271434267696264021244876573340143813049691123260399701184734042858365585356368272671264774724325000289870391696668351990087074311290407282457683898509778419117940245803323831196319267711802348149069432293601461887652615369932208644789343999452748165422975036788069763253393331634647809785788808621090105433165987963874646362450701098871532220777274662371123516483428071871529777574127223286645663996282269975697561242905442825128915128714197878325074968109297086107507677494039643966484872206445546979163297699094255964861263044093788000812344822995545462936948892039556188003274091058799748728538544892451180354606228414059451664565108110424606863125183852550980582485828743468955764021321471574508714283034155716808303276184714193184942044600259407350483977859466588917861780709291817497431676622403492480676366509596493386867
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 4,013-digit prime (401 intermediate primes).

Certified number4,013-digit prime
Certificatedownload
Certificate chainshow step 62 of 401

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004829868351 --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":1100000004829868351},"decimal":true,"detail":2}}'