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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 #1100000004814907468 4,722 digits created 2023-10-24

Value

465503086223732805965520928236052348738624497999233799101330547479439589532115778644200590704330713038556661536333856515958106918956219868848901092662215532404114986564281306032122105073289790377868064027789143672946319745184561885908481151208250553936263170960385430400476298708480060355004655981825730301079649934110205009575433406424257077670917520675628371729901726395848434227795099031519981668887656753878032092262387003140988902173172227838353448477237244396849643368986728129433150401726746507300110939723611527278907426913309626798592927429259978379761174272224066132011115859783501144012886861371892916524395699950507047164676228657855477095630263491288323441424749964646584740124278786371931435276520141233767681960868179361721962396187271791720219139491719158693069001473492562424741439544719274923201675326897470803552867027715217911490162211709389421194503098437204298338817019017370763761963649511170768824364346367646100282130501926687309995671615518297919732472425411556960482696805541537694123222581883046393823207422578125782989248245107392965556429594779154303687044091367242623672108011954101717860752526085417206697682793601629890125596108709407274883923237574398677413751281833315150041723358678826589351674193447869265976343026581440331680259439621048187092627221547093550910531841781742627838153366001342441876480533521027704358775641253986552000889634348558037966685392009656718433032654107563119564433265275267099006192001714361082571725002266010188813053403269583214429415654617833412120640697009989523823406645341736543116768975122781478842469716244860923841555865639681061760148405468836844985744019019326627890156186311255867482360805785573635828133538629795249405284488542943888424382577060751007935319352208067837139958949972626094230966854932109068306259405753071846042011553280724365501799589451688971496906680381498014600886699110520690782293805978744064614597243547524401009904647676859254865247754170813813147459168507553173970924177258598060346791395054001720369872972873927036197717146058611961608207473795086828479413589977675897676343314811481813441884152716645670926704823158296241345490585284431160982229252611580210219955146888420687705809246664058766393978286069365035296264278637245978277516156993152459935439894255990111935394755485221269879401781197355697084527338919620140830090358401513354548559643796912484986735575247527365007276400834280242652285532976138821535335731090987499443092272156636863578552694887426078467474942458125585446370625398685849753069391610158227014834842394809517024464718238917553681314022193722404871525829036865502576957625439218452137021152109736541109647380683184783808493513806107091907342130115102897887420297898248287697011034940961440036313090770779900172710959896533812726467575005641056431049333821267284765843156052508271005255891618058863015974425443341398014906372985715620578900395855197090858635722556979456215949150763248484722886867572609389052210325528265035875960502036345513823301082874837059787864531908537765322562420959090267647953352018375242592405594794362969325753899185369690777388465385575750704959364891701642808540909146763407122574248485646920604094691662445278825896849168680085715457450093956906989128194450918274830927943874348454837470693438061121277619976292503086342751651771574264153738524726229052129607903457809828707601194282642343148298788379235390932872060482172082166189682441847161603660185154442580598366696680240798350807230672011223497955012271232083453973971743984259471715607655691480128840384324802565639046697701391269376182592395329905597386918851826550845430393227894832664701885147859429867996678788069459260490085552759068740620763153782921757932820754800581712024545138285146607560013664866619010873215321907835221415071429266903064619700817547439360287536499460128052673697302232291496344069486534212705799118209788144765896063141932951242318114935422263495280243212682091213683207176077186885532523107755117859415577316515635284526260826274107226484119680910874668097422131560776650471739914761396803450482469174196156046852235684860381236321658640781781809754789118984548891142471124107489038261424558061157241381560930612187681803668410112221098777064095129396121657087896395590084326135070147302366129471849416597271256961596779705656345739740685332921018532753144685449700280426002503399826350730708145151282437294292675661339202518472498648871119750483613313783744173483741043032953938474706562318202807424779383412489935222061571583397034288295286503327785002921747208494368418304577585254995801253728632365952801103611025761660913672234074967491542181679001892233326660313860249924771447124255570209715452305960835934219664674054844982726376987732882021717369195111542859654026599
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 74 of the certificate chain of a 5,541-digit prime (567 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 74 of 567

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814907468 --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":1100000004814907468},"decimal":true,"detail":2}}'