factordbrpc · fdb
Sign in
>
?

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 #1100000004813659472 5,343 digits created 2023-10-24

Value

166817718998725148082130584313877211759043265707021099666284408936941014120642149713429900164723820848872426809580513104273302560502103329986481416567852410496992651533853942823538424828296998339138611447774317052729798536290683172169791652538727795552655977535760620375995986625364366179748300202884671090671066572639745393627614408854433784580540934060552432282663194188906772591507649219442162930164376600475554701047907557483832099893615626574019450097291579365096828250009030150487928084961899296544956301084311177326286031439725586481761200763520145906087113229388025584169381576888228877787371559747394719365031481388594496103029644155535537047734443368199293570930317923027118950143972477113189378897154960181876424397128057127091483652802213654654684896102686315425970459342223452006197251724751738507522458715380185352747650735658796556793643037176905789065686881521589949873818537370223792365047766292837454191640111088281742991944129817654727891975401099144831752409185958531769939614708255642294527095952405566505899636550626613703900133023883347709153823119529503684850142673155956150278300961532783790672482929353713715539776336315487974287228939715807150955767960149329825857747322927422980470387291188040713230258355221214629391311997520378483543784469333704390703067614453318773728407700351341849932522057073426032400962463077671861983240338464427597027403518021982932505050915550239282571253633622765398312557952570375787506306618467295640814078976510549072561935367027616613248476273726589435363995272477485306472819326762767676664986532031164877210769115751178082726701976818830949449806090386419527783232642007593363271773011961015056237227452815225443237008392565188973316614916282465148777842344731727300435787439753579106690786897984277940004024537651113196403730752919427685903676786063177168057642032398621725994424050634095597193138748503641757555641627213183121739502934851437352125755554850437911728732327554696999576158313607619241015116815611066967353009161619628480604801206071462657852485889718560863563730412798859612738674671044923627034374760396618252592258776797876263040367017941821048175353139510045300805572956463015171979865539341235476956744442204654830983774016809090909078450945989878258868527258023742093936395199877198259864798563071935874557166367869720534382341415083536064922248720179513183387845054489193692961650766937050343485537242634239224943028783579147956870137955572230102492029794594941063656275262552023660831114956795842296239499497207777857051002131160478024658334740200980544775011920630642640394289094328352324345639460358892717919330905301325742598893708580037389096315951664143175084515294016760154877359204015752272931266536394537164534421889652664892818767131235278942763876933532632793446217984034306911553785365800503146917125511969883511793524163282349112019263756750878342551374494214523058382699931026539167484638610250586427697255121744528963037354327339376293239123682032426942481961031733716814674215925609786211253312483239699577147292943089218157866159050754944829144457234515559793163250701221649033484851833290773237052055329091505657908680147592310062524591090344488362952747674229557883448399578213100112960392185966941842464631771685989617252096669899033189565041997721544526591769211304918349380638271388085990014711734478686988191358287508077447028767418091390240280575639232112089451699894957937833133680324969051178788863417112317598841141131669785893047793841269336233206080469970613210740305930545440045229429954944431457684406206779696070755458527120427528306029348779298235154274533245588560307578435321346407824132879431853757393023431563206148649309380567923095837822963697981258739725141351154925870382964350431323205932878252266295177580653291209793727036499966448529423835438187608181047181039883074423685075509649818094547528147335364463629407267689779454254218597957738310747536056675221701337950320319218231676030990724260470911244070841363517673546548497380511450278614495682774814055111011201828126246971228035817027401500260106464488515732932923216420296062401768981592763769893380527039927351477112407357133002164411729225466952353219293850826999923488887014536512947791436449990583243850896349214910094984458506520181741950911055705413233561382141223209269443225153974763885783644152021839739003413195063544682575817597036124895154070473907813385104697243220412907997546277675180996151744644426218759738423255323265729769263860053537129906845296447374069656568370016186455403140928366761977033453194883344291278531936020893670726506944754187588282013502517979874481757439353786741011130547972706911832105569247051727391941876505443998485818125787204227231840533469353660416411750921776219716565820678690615202756814060773298320845893702726043126656027653416568232363660521468517092644826649593436196585634187167560963008906907592383843984990913302204714615840909812183574732703217110182997259050962775844024321871358304683036785743379913307885502466405729387442798597696651452838290895568450516603070649539796428624337928439342137751004215808854958547020356205706981709664477689466141622258234154900773071580860848350179155686121257165654800731161806668552521806818924045296080432231049799071134356478388553254999397703812400394132732638395861983743263232313196264689763913440908657602285391415430887157416148485270694430939983897839710333
Permalink
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 79 of the certificate chain of a 6,190-digit prime (630 intermediate primes).

Certified number6,190-digit prime
Certificatedownload
Certificate chainshow step 79 of 630

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813659472 --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":1100000004813659472},"decimal":true,"detail":2}}'