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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 #1100000004825873839 4,009 digits created 2023-10-24

Value

1279257329908444588995553084972182854089227599381609825811753426861900184754239461939003578575833458269714875666200076176405252270114465313648764293195180523342213674871128999738481417776568300777690489541418231286817060883570709713944340915136025442091817762670293836886482090069179847034335816477396901591422800669096553187701292766216038023723494718792533135514507788392892305279970340655435585523321756913830558260024030985810263894274527947527099186662743156455356108889625912567269152389355195336039100065261192737697778621538816651013195907200397897985874652813275469521300454113978978278948894853259512721054493409209043720867768024754098118151968665210374636996321899265154694799589177160500931412682068297597846846886142739498512798586968658324878674760658072180126337200416786587527683350764146605817726653237044372521473508055585621411377483057159726794943892815962630011524969744181713655399779679738956272785499153170994804009137346456177553120519227610471990644999654221309351851462985626174020190588699897931277311861281330454463054671538425588965788356089606276452219533255774710784997383406441123528445149071796146454276548228233512944672672202076504187548350247514277674534238882469390509711972942643205423490055854662179345474424086406212132042459290700234982441524004127818353750735084850035093781314313236800701055493474605305680654418715073689273115183973679311473705529507262712764623413560876984307104670951792813349592499778738349009479556250582161328518864448498308026111068108001373607955144164208425656320539269045179272965317525516315978229886688157207156735921582023495114880803756685215623379276644960820147852639045967166068486809479001275584332755560519862777930372922652631043108800659236660104225644706234240140314086418708059888115085650764670953598293323506795544882493778810418316175437699257692803167828503701933554238154731706868908526809967748421503141399005340190540589954625901614216809256202943493755537669142500765663889256318145040574260449045973098312233662501865978957118689760584928364895491089702427208461591156490200582699704211904718361344219817192705719096354594426100211219758480799420493698818504658003441679435146362975720658146073415626075213213910038379860479620333787763482536836386725426077306165449672064298792170891422653103904327364124300415745205519021044034911641431140914376424453716837326960427681630850484944975042157623954617287371712179404761842412470315450785849368204914004960823918353048255725897138178356867160396635639865138396609160188047257982091533128470184111251740777866112904214176184372467051940061867197808181081876116883648615046438504271391846696595283057597063503233208789537331451621946640098364360724632476384459693265635309847947704230437968155982926388507296384405734745619166115015078376638793409961388750075158419880951597735078997938114519120188105818476578919783484826387363690831600860457543445431566306747203188449724021153060369291329613072700577121953648424070287274511579943346821766944118053130313328817850900241791782443402230549552197181739474140067813119135044917532972918771599390680915184353682316350129091171565718763014656602273636204033108341325097428951928596718916603516308362759174981430695067181545347119009587836538989878743818097277362907987110559390190671020824722969274779074160866804265081878909005719036017072417675861889649057754619572366193356100505384428726207521603885483368764434252407282863866608970035076840533662888742952547895465326593417818610892502683969741472884124524526036077161874182345857303417308784199482762345837021234709384880168710912735063216909268447056785498608973997125232772418164307706743803980940843153525968969632385890441904376191314342828741649178456273271639313716664750297369898299036399120964189366314164800862776525680447527317691417911350092610820561685946455030525783694053403306533337426341887748285690112768841529705961052801617596709384349467036314524686628925434506932364259698450395005589193088667312261015502819907769518011405209441267366647696127
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 4,303-digit prime (447 intermediate primes).

Certified number4,303-digit prime
Certificatedownload
Certificate chainshow step 28 of 447

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825873839 --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":1100000004825873839},"decimal":true,"detail":2}}'