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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 #1100000004813883787 5,609 digits created 2023-10-24

Value

46351705972936079595246103736107195057632874381971131850426400843634169542804166033898106539649858367688343006906563422502136556871657448025556641581423528308707165932032085042764340507432227661553198446543738142831626567105994434105756713711719580158820994998382567221446116991848184750149398032545864008005821897590076206483944508603027251084517449812062043315548038424514152154266422115587907791188904881056280847773330011128082727165073454380569826751083005132841150159218550365154028189593161161769759340036770431115025841079307196397605236918066387950740837674897679359483202597989050626829784456617595857401901450837479545230511097130550678118792878164613012983352572074584589652296570109658657404108475540013950274598232415699844937851052090401111379051003233530652810058019190363212355507594985421305462360119317986441632520708198719618042493744567902314250095467472837051608808211654378306491147988998701050123713676860487545175000480618034212154828672720392862825470153946904015493645305862639475635727390410075273789378317212461047147681130531596283723170302149831780676284319302045427512443551826709969780050335546603210672925800938687968677157794930149609927192739959006008501387745986183077513134383128893860038750179557611069864758358334234594833428995191095567440181972330578705743907101200730516807509367302788168565383369456756083545688757309834088822433354364003352283128843822593347628371642400100173218588562838731307408397545618402731811945712299172073095596004135107577388661586493906544208348805868462133276145881783079270374518108724790454505969097547741936832591119056039281966383660901281177432839309273492081451675708484686948530420812985481421395226691928051478901708185724405915761070266386029788699754610140741419141663160758181155943584924381617541350082702503991694992627272855374516906372171794346540808524505112320462817256028815252726225842876359508715698782519815555184805837947485481355629955884020020994074226592016330377839939365831483942946628032954173924641076928005966074605738110356384673471509118463756384086018578873304640406258354770761326097383959873819238682443053582819089063971171981142656490473585236733286178083272999420279758451211596260814645019699785038470583725751569957407351890888953494272100927818514499588885435822993800352664064974716663633211389665207555029150809145285609856501245559500607633922756424736482590199720079401416733600297004240649491833114986087947055853528163876544426778436836285618471471560343063982241418858329983952266981201441905349195951512565548558438616652838468591505120300678306688602990552930223088097402963992671758123219887970122719441181359979393177242620704408430317655036676992926286866718403406925599683794641212084864145262100787534264558233909931737376528852583564835497966542899924445379584831208090238543816660094100024123977852423155265240196731818580598728896357069115534371398630401777217254321804280910748284221071509759526274266868455577659130656281043704244920555811900015129824428366675229164737610821603262250535120311561374399487826992076746147269493956544266959322909598057799812104550879815107165919642345613320389541195443011754363119958564515804059374960325929536465535708542327741506266032614853888221004191592562683290623158839001162568946100711836321724589321789230931529252421275435781258079902421179244132245420466650200721410983556146315161792663864176237964258652556145124203801814484262578783341992315661479251938299135658457566138403983534289435864845428267199659009088987758042140400600962374579828018831360311847453844982951867374750620893549980119984313736849446107591994944460361388580743352114785589418964498862025153630686868050312535981206392046189619989096255012722424735138208315471629164023008038956799679563050582822619177334036834899066603815072230544433090093104471940561866687378676183270716450530521638294596832574155906804249406323645085699921247786520291007219932030048001887476159943143099195268588423081936868634313716459863677983534892402091967429063842667548110172600322216062984969466622441962729318372756395019240428112866861390360272946770561006737200140077362683941172996042793698758736654131274801661038723063096722408950707994221590591429814129633304194035821746922785174733317452424751255314107013570096910845791883839385144373190220736454091803828638604236900843120409427615412107881544568303670254247582970109904685647941441561196640522274040313264574982086180073971555590787307886057478892938794288200203971644351243979638319946309010254723448162089336016252489524910173159248488892778020694446358846191912429640364461280419490944554109523840362049270463675584564832472075856848615284554306730924520428782543795708638012018040543817585600633874315687660531689261489367750478468371746685608699218981636102793754126681553128439322019949563700145714503131076514063918680037335328100469888701918530265125564042804371458241119518399631103753372696827989115427816220319158636505915256766969872695043255585726270142660872349336794358184688834008137226195218197461367060799425986390498912767456084387268949707044426920505501841845744894477241465927982589262960139668326494247577848670828764464936335065334278460566319321999346700658769603083627720971427090724840281012116346759926572107841379116255820376866049159953550172224171289861810547907944245850418942386145572879887193359911462209570259679162805079598191939384470487719897767021887482379970903747720434061255891288713390834575696225541381469287638233065719905707333524147012255008056939267507053504606778472561707543669403498728497040261300092604992282630630417106358768949288161775389397807463562812313833
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 6,027-digit prime (799 intermediate primes).

Certified number6,027-digit prime
Certificatedownload
Certificate chainshow step 53 of 799

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813883787 --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":1100000004813883787},"decimal":true,"detail":2}}'