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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 #1100000004813413855 5,304 digits created 2023-10-24

Value

404149078051576573483395039808861567310089193555186980301159079184698472696329337917999341918052384190082195871893171515077391965380156483773760336646975429684966756475830476103968872451945049373951255048153327044085680855471463000043013714141379242036138432430609441623446053781334950494675647662349368142105910305071297203195854527708173232337586398707680671965013184567603465757748247254453526787838860150501579462253262101863343563847516641432114536638594776798881734542586439868103350330040298023399520900103212284655432548337609430045838237380432156104745802098610645765347652119892563770954641102522340532036509284432360657134330041496353655812791506620639418138586760929159402538285108988562356648612020976119948424482833868631324036503516299162320788410904117406090929909677604491500574976368131181346305987457862237223933981749837892401286402276764076348949178106105373823123062396113673067368877453847140374337061593465443985298612296664986209611574176722333839332172369497156123376233393085835905993375292463073657760346399148652151112864178561060460825513632286789146874957453721619405223620049905718712859067494678492379111344093303711793939936168411371483131788724482324921170007706379311082473526413216223533754581620514614102751343286828949143571575363712588421324688669172523657851514003635493607828099129159246446405691545317381506540934152700342332089260642279591555751765358522141907512814913945820642294647106374306289403198745889385582203936079473262759333323044868349359063906029242363843598931084983986638210793719227112088563144894423582252940138829429442972448209334702744875210301354460367206630265877379557951481601167827872373803985266310659928197404622017782438084844180023000546419598559997431026509313093728309056845580755116635736260044678693358315199172157182050819590081011207776737419559580533248977907784133198790853294208122886757219502826199457107566456400060785295475902956532157392216192124705742754707977825679888174132418389201419903807924557624171024842171515337375797950092800641020652386672303114874363481005114227154353946109112387182694338739455187312432944176084246503047585117521716278894516149631802132764760640608669592066421803340400266918009620590210210513149494252778057196015617933329607982793426438185181102330132894205755808540889818037957930351887445058435671322196131722609089258489067313894166509330498284889508622011451730675258808494923257108924643535316971260695677136625408893112910734594393742328179948012124264340713468732288719135604555120296315642308156728714313219255932540000046048695199005243003363082768942811157916059602162661413088470205545764136929738717003193240236877686112978223788239904694987478449999868036058398553581880359552356393043837082400071282278227942884558776863309409773751600317377339385868297712445745778465099919304527826305321229497316113319604309174085074862943704468021780765800809463976038970089108334646134583675468029321622275882569397472659491231810534148929807447004549382076650698592894812450439736517797575532158306644602445982289552919550885899106257891305916236372058442986527698111166304617355165694721001936795493663988964930336297389623432003768992433143289450110409857415549613248607707099920098079363618392088607819713737100596393345813087656108168637511523698983339051519196529610378284125146417055440211795111195947102936677131967656888424724293279547803901398323473849559469868477996433571714269855879346144279813352645172958624365211957825075661954892537813002866476023908996633081473679174910518453745830623786964860074917895543569512010551137919100913646687432998520693930294685392484101936587340541596493483871689404509194933190660991903737375330167959570609554017725852774682376060388653483996968387477953906405056639835767669650793705871622940988446202682746066802818250010486857182929444358663735057454321395354626201398453028227032037620445646031800119372277495685624820527677679875264356834606327710095324261129283503740710648668138248933382259947264037018037212603801840414695995025627869430510889026842526741565067859536356032663701643326521811515870408735928124962683138461328112630908008159886431919872950045043964600166010274686900628098366726144896117945265871627546661059212453456131537591695358419548441579956224275744455931947947275638714928668526056423540587965483406774721503492887100444870442482060073378637135034287260595702047946457579782932836231797224074381674068151361609560881756999435120120672411393136680547207308947962998844187730261245727960782771629297360765830508116934333278603911946215200564479926226335199022508635563665457576931212371465474437349595503081941900776910928668903826160397699393331065745317675076670084986555597613545711201727229301482451813475178773604380451038836199103909859892125622990170297702984079921797854782704133249273995264473992895614290721696575818911177236281929487274695529952808677682979164817454083561662981546648264848944819344373792486975711245848313572068634856138508151206400299884911766057760474291992995348653677201730314106283407420213258016918083595454532951246842339782798704005125306895059253425326910474252093395280965753043778900222739829673328081108345474224678938302597726106642915293100170920586880471906937272680395049073869193272335518951107067068020631060641399381579546886405890475003809126593361996373
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 95 of the certificate chain of a 6,387-digit prime (653 intermediate primes).

Certified number6,387-digit prime
Certificatedownload
Certificate chainshow step 95 of 653

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813413855 --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":1100000004813413855},"decimal":true,"detail":2}}'