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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 #1100000004828080837 3,950 digits created 2023-10-24

Value

41457310261956281341795075102722677293095662612092378905359144749310704173062850389681989494313303146683183140173925498619258371167394655260819590600979923002145203723275412541137965924069379888667617128923072121105444345101567009647870751402439779035064387742686179244559678265447640263566353163607029556845659145819270218527571742109508443327399618348304693527322486891842205514659266201727844761758007005559109321712485298710189699950877640267138755227404092927322943400194151904692852296054681229287132969657695956775906149663202123576177694041010177663212233689832762702933170456699596302231055617256030035878198636015503322362642275087906983382708420967627757507283588532124498651113347462267987109320716954126634883361938683317069286453836447006496810319354317560947752698196909386007489311836424404970209666357266294911497723744770842205833187489621140270362250574120013699657772096075139578930775454702202404075921719186344353661563792470054780113477746081509800038528556443859552451982294773844918561502773655923285153237032055642740849468802443381625816282360424773529630992499152216501062447529246122869112852868018881634225895148105025113948791457626935089977254865118483702507018875361037717887659187321119153476987412039303940553620267012645158766118290702173537452437514405563711823943522137794098102256469294341859138080738726076431003148133334292167668792056669292911199959715795184697723489543412964262722813321266941713490243103509723777570946516461330249007873735875412039443621150045347089235026708164280504693187769581679665100922738986364622152637538864384458057731654833455017301796455888837153047669440436406922442047973314651206164502036257011679268818817620344230149897008916960296967923337038121796288365597148056667938483484681283063132986800020264769502197274683418645317964285922540060462621278545830641041206479887828584422830621942087371439227561703152979278510204112032145213128798818403291861743966476302377503503789506007471892865011411352848673433476350464609271094504256264561205143019507332206650894121158773338224605052931826039502309826794176787769114518505109542267854288623668660500413235928453217303568559062048318450692131019992575487115139289720110946297475233990790028268745153152095806125483868243236346137963081531656487558010394183233353651179891118806399346583233658703670371484058230663395150837601480608199164256833716549097205169517338147317729899029052670421712519394638378166262808630090123111038397031919505985085614090585141308892295591996230784807891426594012239542820903259252391585082688397042215075483110670898832176104238199958810747494817842333642167689432510246461095696840290646319336023246644772589081533667525100814803664310686057939756210929274157812892827655207652853823621737931531535076766421151547949616068132380312605962367465445116371397567215307819538727640318128818559337666116164596223770674383533976745485748634714799954378166156165567791072515993461325518174787847343652249756670468165286395411667860060548320054038583893316509918647680075818584363424620122087572398861438032811121553084185836777117610348347116205009148237046519435920962204817636975734682185875251101677029042712738493587819893934640342395616056964561633879417134171712737986724481662178394305606892448401400773348159609570188859749739613929741138867171536848323478473482709921308942520573949706747731637057624754227840956057926836739725288316440129279234352193734813224670862706310318781625108298397594145881633386716182370954037985416259403302024185697322090381810569454099403676192087569139155876608621457926174999033446403555067887951850697192199135630314112684830522413924666353141987177876268025185349161206867980677558048161435348073253814276623307478483111587647631364849342248942599635255853894195315580415309259551327118546063570897656992632907883927150281772933266888228603292863730204343649657234300229895038742036709489356384730219328519823367628966338016537319525378543267663371187265071
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 19 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828080837 --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":1100000004828080837},"decimal":true,"detail":2}}'