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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 #1100000007734453114 4,939 digits created 2024-12-27

Value

4009556221591551250832532222225274910359392448263409968014277431454555890706998557951112851118801797559851174907791235789398467082684115861241805242585350086037498229131861701129805829088138484954907041627701397263526086973740098602632191280560133522053092134389236320103691303491025956468844300062704644872217383807696074740980213638096723219577731739187092278435001854850052172253697212516503764569465392570811766058256913598785900212556441494259886526490229052936616972910979394732058966060456812634602490951833226132309004302113582800593754621584271307610334471424370649779495659713021765203682517345038435059855104897605819963738375516255076523069067179802104599418671652055455572863470801893118945260833182955571502915888369098779458443290774630499066208132685669691065838727559265567711053679031724456049316335087815801221413937730932226928867971006249231891343550176174641436221634091094660362912798555160369359691943533428224535758281369532532109139403569580452970464729079977612860748270755812411526469842543460470532371743346477554232447406458684339525002046356535655219656180213482340579935007015982885781979695380440455878284334749422209216629173998865731153174923754779604588015065422908323675995387617778091781604016027257278323535332676080273461220287363832529377497470230309379461877566448281652571625240356133799287528575868186876293430372885857490564794502377014694982248646062950022539699538970644641755733013305378592493188338258470740202615531007624864160194511530233815804098063313025093103535216741034293974523854328835431951921048407948602524085374048755894871635931790333496294395613096621934106457456717203022087435402732676229751342573227168082943707897798661347962793668018102369452981766239225260633865028764275764247566647999943270200766836691734322661441890417023966971257667442424635181774593972942985727927728858633067920461410241499481712942731893563034561929668020597874631714952054703321517834683806003099764645838497359178133704491909169556172381247206876604439260458288221451749367857583046122406045773297667971088882310392767351040861455884416083889997799220925013994684145589193861297643529341478872641679445701627017416779072022682266658754665149895614205333372682658261994957438734911949260327928155761151000809226374314652344977300003563241874581233878121464099269368872040602479287849614196413178756882009894569032015355877366096839453265784961529678037044008820569586871492821462324659259530002039789725201244175348644139205474350691244609114338281095790695710313822125733297326557908409320596906481415676463975520834784458225461391023304675997856560919910431346847082601006896675188167576982846820534857878601679458044646782573797118175181991457478760291487307141386825937171775416822216745266616027631304208818811377163769657805568203112386592237543647633559167284738133135649614408824812011840529558739443956556713866581263804390432571574698646054740579293603128656310019547016404062039671386728219974062661222745689846631404287512550295436649644446955778791245304731072408111849102646773802256895215976610717283499955604182376523801777651850473846451334586707948022483953444175389474384848432614754881423290826557051780769974488987470025159122873305641415313318340995344763364651003548235396521566040469866453052742065560456544883604171164373580785281751752303824622951105877134993635526743790354299017447347815498583725903837968393687999280610013936128724817182601488023094567086298112653918393154392177377299837654268070863154124554894932834447167193712078968915799686024844320830765829712394633373589046581215192992545417122196696033005102653397296326159777816222246753828451544802131492342067889521675550579353018618673599127792697347029749467931063259632142074274958877458421074240267697576713635916009479693452264448766500719092986909023239660038844722724160874050596721473266657170660474615089374684295414721572258381177144165483600997314892920637708525640176094586415734899566505793889616872169567852332481053636254888117103224892488593190564198090059941014146278593536128274508652176738260118336849235401968068120953319984273213173293774545670323494791750393463811519130255760787949706252640656625966043290355465418346047046025417838905656028500080412133712358976462669036209941942472490387747930441766277286719364290839488838592344510668463896480566278216818291125123914806582602373549572639331593535758872764407835614150823297369499259201010627366566241407047358225921826845773656752094327912945148246462109523773729838726718545982816382134594160990100837135297292165770948664594435486698542287087422655180189939044912304852830554145001675930841570870927558920607830624750187010353164906093210476509576891358076552887164868086054093578667907255645579857695381022590900705548899228236322051472183365978374488403612845033067144446583018916306773004681485451969861849471727990267844829338638566196586734553096594532280568724911076555251296949402445078867803182952818449166320549617
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 5,496-digit prime (519 intermediate primes).

Certified number5,496-digit prime
Certificatedownload
Certificate chainshow step 51 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007734453114 --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":1100000007734453114},"decimal":true,"detail":2}}'