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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 #1100000004813478675 5,373 digits created 2023-10-24

Value

291275043426262823980570969160199140596933902904378358272644557070745520492338923191305297060763717187380599598173969836415415772277636481663774832393461956467860874372581776235029160993836280134337742117314441350334516339885552109011761510691207732669184245083351087988314938901040913614489846937950768406010937592031186435896075803310350629534573213873555626089895793781371638415254443210464435644476778803341969381475382984889007506509130494891728445045694122746175936938593724352317991873127363439495954307508502011168036028977817577053227239083698709203108843773287533166251261188791991848523394955192572477648753793828884563159168404003978814223790884245308340945626342740163116744207101729142365277562421972963770263054615720701839376034933347121514617140105348729751016112252661365411579589351396197569540076862217871756712249578465612569484228400495127250609847580526825848392958065045043009674119257668950921536628532367275452886437941302826252929664267039611354933521474764035964898588133259069423976900407224043569017758789743382114783871412412569427090969292251619598557592719711147942733821091984127386980964652726112485275304375613323643966789283363784810338262429384997357049172160626015413199148825467457898151424787393530274094567394996178998669111169136899016138532019965072645954622476547406987161970260262998133364498859114207155103285808074920871460987605277364103945183003205541635034110831475436471487651820235494645706685116321335208815703723170926369919006082237550319277124845099574325259886227520016203363958182661760242350016476971521069089615895378089223437123595289307293835988072449909890692279472332006260252823842134861292621329850605764752771642275202436655166389214362538045663234023913747869002930809176067373756315438088646927566537383304861152479814307588008996042408882160312159812361521716704328738719331757896831238556361943016769777547973502909614991121406039191050280300398974459185034748060869502440188781058969506079057785383603405214968062957466302265138801076049470792359046057960862131746849282289719600666786440835954651669541037904906377547314017750530692472283785128471393870658744270681533273331905649337580537955972070913060937840220035376503413880723101044557054835462620962142353804009016817826473536763556612439460245835532233093773086415707618110133293556827964142456873541351574199113857561270859325865694233648114514478532130012416288046235900192575334376515207086517093215414436295740693058387689770074240486673627977157891796053275079963971134051300369821595222927609773750782093670426180671147091032861816120758957964792872159572334726726115902392339621409079820372414331476916196469115641420472879995330618481319890941433492796315539381864458131470598535148136071184802373059883878922721873955679061965310730971043583537549810129146648231469053330123521336691344655338792484212400153237977989022553597462269801273640683871997533881395963825497772564795460118474215018282401945438295186923688547133229852760088887950872333451518438378288264765426186056418060828966712507686920891430928870165901132308124077477052388635371270614014232117457490154489391566804502352368613443716066192683750860404544014465565683249908424521217207884593313753175880412269351986223024788670624882946110651737322648090168358899420736971291536734489285751305447216399906757386815567487981222906690425387910946597586511868655099936644876872818500724679267663032163497156019668104461950371116224395171280932724253767627938483642936245771773182252771993286138883051308769048450490291049080741024865627516040216533172389823004848048152897309523881291844284458764514368663920414860015392513813589269770917880716100009746239417416628434833134586301161973053491881769569222632905759966187061717112806278016004702500361190614850982703236434857222742293248994538187232860956246680500163300186196557636917923472062916081849456701020355898365333229737340409894913339638982910956078194007738523143803043497033271222173109832119009108556540836881960470000820823789522305860761738516808661645245214857284016717753766100806363211171988766398619416403964322494451419588999558027089485651557074578305704624921797679978556732897917483546739844573934802238858123516540629850586007424313643709702614537693437133478248144816615758455743636730378241213003565964180931995133392946726532994235131385574520548388039166396954880836996319614256130302846430095507673206335930190612266729016736183929735361797273233680551475981844823339205784602900851372967387757650168568678814968666264876608650473754385679795456970645517189698935404243238699973853664187831922887665470639640532932949098472531735963619220478121208529401192707413905311324463519727862399633552743105321295631778593041589976100890121455967096267539783807608011235126094876343830340492218004652640745478465483031997750129953320552524552438642596287448160776312165760744720247975616841100512254443683556657281022617179891809737481585383145829941662250115102775711815320231832817394615769016987602054957747293351782093311937519637364054776071682611968062489426165173913558958924581440204898232396749677397707570773400955005224400495277865739733875459488670706963757553708621102790806764967817787510284375830682582242777172983289906839788137202897522382569154383277689804054276264956349026905098227018833406494232234068358189448538996117175414099905382806094791261720260007224097963760114856202575109
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 83 of the certificate chain of a 6,322-digit prime (637 intermediate primes).

Certified number6,322-digit prime
Certificatedownload
Certificate chainshow step 83 of 637

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813478675 --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":1100000004813478675},"decimal":true,"detail":2}}'