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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 #1100000004815173638 4,654 digits created 2023-10-24

Value

3980875517575432315967148668945782871438404601571591233693597086652689503309190586096988345892303969378814217659856010676286102677270601300544903157242252607103281434469335882726125721384632167588625241148992330424369436018230825702237533221350512106153768249671101142904786596180182208814752224834748963677868881147113606606882863084979985582757459054070099630620739436963386318916888756033656144559780769453720813740420911034579039435277164774563341672202329380474699693439050873502705972275823961806219559348674898287115713775587044171061263115687258892506082624357533201954230777697308960640626599323583588241850793573275531215474370597057630358314962348938276179350939702110730153685858965002163967820468957205599928726399843164522232356165483926253413144041546247677932081968168293084994432852245587879863345689321382941098277122701732837424516972442606377577744222633771791129297293120720874433635896230291779269187513877463258385950885657627911529811335843866087943046268772958468235268098674653768915558937527900576425773517929691007583879700793440770899433842479939853662931544652996170726411331100788509535910795718972106499254290531193285164819544529794506013831174062073735284360986829129840168651600254459464604397361458703499528984049538396248821748150633650861617996267896124692931258623650698983427958137621353783730860265038617761256111006201821298938254913343661634923887623448817233145772246718117447409401387433722248320441384343329870147357830002914414037239506600845124388217552070233249876484625902346469888938749300908967500348867094965862132891900248924952067110075954336143861160056183880329315264883733937923251767783042092811196623721933976608584047926757275944142457794579330960392820011997700689833836424496815762027068230183757985975645789429530439314392296822075769315153140021569660603303239440871247063913087874401067272504340931302422753741174462146228652063712606856264441388897836396995818167958017220709444753511021701343172870487047766338310735451662384482458202165294075115471473143013650688364584672484915721389998143881212639642630825121163406456942506481885966696446337500885901155644056827889547142015331690326881527477130782204951299476740445654502813567834655527881822122891816396133356598203300280769414480562940244697016137706485742583098116234530030445216349889008094833149700555971559551414375291372522102617243754552372195321407031905016862236759246017244766352662294755413228928758506803918833130016086342830001388658286964970692765438388390771884810046237149302480862472875917856483837990230710848434943620078598239694629012113290961241465194740652910358099662763205499574432012354733834960425134654387444399433745478730995777147001959664667617447418513570686361864042282297986116418934806199313018083737481748713439170893360402730135241352131122444287843798150109397431170687211183472456969290944206752876554471684640686349360354069313236362685032274791681658061458674627985314642289727959081247863690919987132684493712088341396349313679965747197743194891160025833138160455882704475908776345388846868679509700640943745560884482329877099655724206277090960459764636467962786802664722427157442638523873345446979194637055464098075331051964415408833891995712521256320601435102551151729847995883013806099288854876755227714565115734404336108799812739761346231979965651406139474651587713216899631677118643224674024624078232721128485496648043931723348449494782582400954157972943545750786974042353552322345319184088777048596289510126660807434422289880344429625188559484757679350598850071670570257430970513472120720227740773509210426084120506997911744442408066484328084396050360568194765237563528262267287779318774050195435803730523068850863612620463436262029057110147874883482953294609105124455238918401582126663913583019353219079050958418313367992474665172391464811589438102984735505586649160285005790578908042406705682799113779043458013667306319354234201300146769447380623713933966750386441218518014321209287991292780883198615984384827194934508962942160561545010131523924090519665904930212104210358920148729857380832764120072515638348533586856322341383275459487889915773581730992345920007079150062951443709390871045696926401114775972567481705445123705638069407054050309592586136903781710953171741948331969070954384158136136328147800358439217672804255850173113056439851178329940960518424510660617717584092764435260705475407214008899132144727623878580873309692573873732048045366979019848784239129594111387532321467478882060400079559470741088243920422341319642304022485927285615215379712401689067312786317188566529434634244838273348464623410800584537313735521735183947385724780626359046775605205390151268544769
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 86 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 86 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815173638 --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":1100000004815173638},"decimal":true,"detail":2}}'