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 #1100000004814381130 5,628 digits created 2023-10-24

Value

570163447848106669478696701847703512558805398889051190067680067213921713486195624627552116490227870312600515319402244231907381236286777752621241804640749022319834889962491718480647717598975907900700539933940769673783698897912136765969933331935749024673827157931042713852229441527572933587920620047295296350588331224508596187095335118358795500463600662858500632833110718028739701187269657180889855560147921235985039975436088423316315334394664049151416649564460924921955307340202759574122600269811941750638834258045177586225616377220562570584124627149708295864152263385851684159075014975387282089929766063389512536380911251686391013877002294937394010346959796227166420326256957068599968065702772130015775569821773047761062072693520725376790269346727547088906055372355173783563224797415888639072045067462043520931145067370139620415317167154011858754817026334456213557046784110262898020200592615255138974885721272734534129768783037293162884208849336645273732204686094101249154467497882565980079418409440908531399763831599286752936543882355193502832070466534545862698816973265874379964115539739266191135317439700578729265132740941056238561755657114280705473004078863355591781160470061414255408581734995821117675343867508145852032019843111803003231010007746963562177132985971542323724109604666402731637372856635788882149412729792587831717981928138565038908570936099681828552686848245544054314429374902035896355571153538429371414852531491556386143848783905498289065567491287132977050021586006093174332197809861365396498492164460699253322980592354535743717145741880131467872357934582477803530210512189837547090586932590068519937534200818611201977522818419203556142071164044699753247229225680104011884863469031628068995348828170172579390414604230938296758521886568723634288977148466026317667554257438174671559137761319313591692781689477764947489561388909426970175773685619900264047898660162865054284626004382629132542084759275690589373142917045614084486092085502815715039349297571742565065228444367480816205026014046288384430419913279731755387828630539361542493419330195852379056892865121796859368451769146471019168552131398528387038877762055184524013173250312493138071883690788434539031795188188520281190667249849312290224005231308521965062082216046978647788450691374527059897125543163190514013143517144095437663283544424774419603798173884256778042283600244300885902322453653388848445671505331442106913124182079476609607448182853365873335372130006715215566738798878826794400226346418483873932076519529317187865248897871134046373636326669125157834958033444945514283320960081324837045074478573113994055178233625880934315463634832444066338789582855837635977266865098585947307787090138473817366148889125269293722391702328888057690379360123160013105493736880026920220669701845464688697271048509534439625764656099745288292525640539017354171321286704418723940334803966550037520528092369067495679883368532484518923056060908184131692475080854067056945014154547139197442572558388433129511496222484433853408585470845928774951521021562767175584518626647092950571800668342338985870523745560725810883717044543408988901610204142815881482657716766051626570615408061175403754437460622326587754900555228019589703399085125910552639380237963438129173912913378069690346532614634195290441043647779957656466164643012816845933972705260152972638202183455681989014649964453187179964283087606051337410608189852165229428286380288716835171375398813801325509203077299346927024729686784749211671483405930537954285293054175908849899359481743870703474287828838599922392085855583295893890929565007797813705672469228906270798228024795263439432700075023940456072521854234980048256402185892432534414651730688729523769480999689290182904895973283013197768963539121134127949886665465185817826923304692903000999736899338164739742584673160575788862024514516461759072841391287460555214924134930348119147464814870392071607090715769312710976917178322638485159537806221771006709615047873310336503662126125711040545856131471979009647272970573793797179176591503997097952536285021562763347686496352851817118357133523728852420981964118988077400190563789919915285149172138873910887811554715667645499804395412454785473333283681236486231715114262269805323690172067771035267251279516444353051025396249330922114944480983669045900921452701429248982986669050585460293813852375175011824494186456703557435149801257550606996536299487082283030485129108255619957797955079836792091395934232186506740468614114512944390035331414962251699754312865746017805453111229684284970917602852229299282512703213136178427142707223649605552323603348130512105260147592522195627911207412016415754314286299860130988393067205767929718662493676149248113771240322311133301550391681217577240444924467752085337472040417443237148826927735652476539055244592452628013379115369682343585661753632367486363343736422338443496104547204493386112448166018885772582701698798931653427165303623624032231350125249436104781178370513968532645721133364709829783256686203760695732057680606758164708080389996155504035467831119308134449481911862285112990177412145989426958428486563773421884999272722250338985988129854204448281105238338697034609863358228284888995385127540051705311107827937781120650851444563142905826425091426733857418884850793352701911012828160427959886003708051247395335897365423579891835293130408456777976700243649593710230474295208774954586500379599317533560242602325814444192592984632236571602448569872841955622139497456528055059433202471102970701204338993119059019243459765772891553215804445030279842789356149850618880557810416748707238599918818783900328721327690732486334746745798039773109616443040120774387565122458827
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 5,754-digit prime (776 intermediate primes).

Certified number5,754-digit prime
Certificatedownload
Certificate chainshow step 18 of 776

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814381130 --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":1100000004814381130},"decimal":true,"detail":2}}'