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 #1100000004814435451 5,386 digits created 2023-10-24

Value

5724916546550697858421392330372081851856768494227877534225596586531533572301282395660344226758375414348587096655222706680732211498751602704001182226308348977309365024986614069052560865009518060091904849228944429663040076709541916442600959329118487187041810279935629328688857563522710342355120372327755904111561133395280858352757826762858262082488514624439525731800149785654936786977939843369468418339258587377795225812595873530178005812834827681946590665395262228082457432390169871649569446099262694774039915051190310909528322528717157847820660654707506152196804460824939094655003444322405917948071861285090320633246606102566313358458964997880943075143072141807851163275699181087198580890019530754391843340709933843552156163626796676973838901392464875893655849755085185139153595675203035966089916675511394660775834080724771183269737776739957803296820157117083167340886215829472656778898163954288197854075621042556253658980062691116472930989699291410215916826679810864955147771415132330801182069829518192061680439140631775767604490737420882461779033251748945103109527138679507314207407556793440074506924834568706083695673888383715400677521999911605393035547654168749214545020848420148317197550757910579982577386131962685563886937656083557273445191448536666350953217837515880528846870516912645097415245474322997623919478085725361421209950085780859162798282091898976364158944546311868060944393627200315397690778105447381213692064360222796812545297268605407494772646935786349253934648318786968846113474237891050413928509838005515618962782329002374169837602509392364897059717677897095152007380809202800944771607453673186034330598147475867582460981273603511434777771317233832455600679680933739485746320701164439295727769401895328405034713536094009813057214804558651343180989353992443261395021213911872118188080609681513403262916583025182622223839954863153042057228064424847654493138973863337312175432823710508134649011674966307064191565884134445350730985248554020777078859983997044281580648302207044667985295115214757771818532472554835211625767039286812407537221082055208416048073103605505852079860454976863209620695566801566042998550962005654510657973817171727871457434319384898907231209913390867469916989369655728530871112623534518882446395778399850384655365304133033352997107807707622395897186896934007883502197199069628979490397283785535944232387767055561150468516683241937267248425546986294900324610021263506398859152052807933119675016321122753966562387641518982308519354031658739671733634007778552245270894222539467445593496522935100496601887350760050522032723905026059126973054426022004900413604173308231536783913620127392153295573938190299665976535532225882097531828803219282300463806700297071935701325521714382593644888925842358971703648864950576373605621460192933851839713019881445272831669414363298102286413620209196184914805869229373246028598567804582481863967994564742134169562150302447274502131417697551928868636450226462092543732569983827805442954524861341641920428947769920932358349174586303808330798711333757276832434183362589882976986451090926916309905838515731269619852749283428484998583085426593805169522844756360625635980339494569223703804440791513494370331460765074084067169512699208162914456349049942265558205550709550586688918199053631817993640390835441656681601082176402650203795597149162050176750121429246156482709825200738523387005225694391788020582336806280061283269714110678016997372240231513216389031483874523489806932928337766273451840966068289296834418802243376493552008005958633232027005739797091931550167611159740443765861169147457031781921746038682077421279163117350738792677245021113197184325914955945708836614577872244398342551461092355259866467594841742889780689760524969310448718316038060008542826504657585909374501666026505285546396182052939114032384410949622752618579362819652506916849962034446757427630924293796627224103061481205679051630146188474042684906074330794664893206011572806043086326950268961201396463949152040858569405318534618714881205360918263553962448252372913708632918189341949129865343786256736128673564416389000815498316657274406629552066570203052076583184394773810416948458609278900284598773541224230668696334321037559469406126308675500596222002680845505499207242155733649427731561055441103267921402686098020051424196779735568845890267985997719283207721242031095531682006709518243436274759045871749855207222219683086310105607921172302436972085399649038637464679994674431011909157503432639390416352734038160232020060644134956877781111191106982810810692767989466738913982653421495604722609613594739680054054750443559328654934372626203461848364074157925887995228583739149548975502095810451779452344770759650474666676513064745892485116753682815556886124474441750783086383649372068198554679355025930505818717017098330952473834614250997937836161765200328174530374256591009491771014874733024862249284361857009230792120118178157064783525718197675031758600089227428461008288315654549164116081376049942288763174899705147007636606327502595321451173001541889430143950178387464570160027502625137438065945644742476582729810304949511317240703497355452705678377822097032956161391786630591376765146563008409018751410247950369986318824719131740692656493203632012052862492566927694538655170871223169401629047340863214330383775413869240747211450784081037672595434714809959803047098968179812044260565813223962320327384135634687989069839113531582523230737
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 5,765-digit prime (584 intermediate primes).

Certified number5,765-digit prime
Certificatedownload
Certificate chainshow step 32 of 584

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814435451 --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":1100000004814435451},"decimal":true,"detail":2}}'