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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 #1100000007106566091 3,418 digits created 2024-05-24

Value

4613596977082215965834264243474234635182327353175853954573838578173393718794838798995520142530296037113355693079943251373309094771365833296559610985787239196188497075695610075397894527309279758424918959912501184069705063394919804652566586106005661191947282140401043036336001758878197959113127079739264331076393364143254958169245011512709451303306921337960741427188692016323807257472901436114616923811130409481252374685387291902136290878283594957665158127120171839592319317078979385004907886187784772794899460030679810364936145007554790890570014158144235945104482175962626391811689272671479512243940583881869683879697838445167479791873561248131322287544671462403102605280597548435525601119919107359440262547156508811072415328994891106701236467008905964267065487825698655373645712961703907639430779954999045592132979004539519336603487131819296400909798581036280609846902676981880730147126204129263558378316919441293241150038702194003327327438426473373276836673599634765225835091800266979709295000623529512691155733792580828104141684260405980509995503982607270208433295218757946183808104150428772531178634660754064587163140939531410027786758667655744804231026104040089868461498695417483152037522928137958308486852733343511159542259983841573280201060859422502549313562908770992526299006151634182600776249448340265100584354488569917109325956474260431283852016539275232310234171557124951909204403960489543590596437993551013611031803468827683464095442451996613024757862758027927813471708007159466188466517428843667532202793515906249542878475969623719240217355688533665847675524019747694363970078962815404657977616133099933462324498246105161203286883614580673798326844816160307697285150622751035639603425098968777629198579026209646442617316816570024817911836507427049852718349385247549513376319335129175768854886724306262655697637185611733313978806854012634245881005490410590863718545932381007825438437312488965926985040280511500967845763714068980839557129679541103765239081510927952641581912417466090258376013977178981689117525631769531030089215950260001962282125616620914424314863788708508173149723568119421279861418836551216555009322978221637189678875053831249274909544314776014468921920406919092697103147035126075194413360003379005150876067015987793068990943981180835034392753896986809673745509944076612658070741785660606540717743601499404952381682375928843990911698892957108020107752726886558467377063280373798189917452641868585033480064888049834264822027909357850579816077171329220037320723102193488952495236910007798746451176953217149228911162868842949383151225962492432007132404441742126251598745437810524587222146482231358030499085187902234354074984633185808738515702988684244818012805987793412657556848535455972177497847620008025116285387308443576879653008121218761626843924799550033260149435408332044759905571359130725781032982139759010444587812619646741977519873871762980233351293346798904308207722090021757879146209689065138228296712680187215261762886104540293583126923980984991025449835256170821319300541769054665539930143232295690158919764308875835098144566167054225490241243353911687715500148490548622746921519964716043676129649247390129982625854500468819350685404604589441314235320126868073050307494493008544743963348110369116872895640133847990715683601798797936210249779401479304769866547897432342876848109052171352849293635717889211235029404099073805787534920809597125743727151178134068556987530858493706013
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 3,492-digit prime (258 intermediate primes).

Certified number3,492-digit prime
Certificatedownload
Certificate chainshow step 7 of 258

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106566091 --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":1100000007106566091},"decimal":true,"detail":2}}'