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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 #1100000005813184937 3,366 digits created 2024-01-27

Value

336948706914485990285549872154835386193028521512921428124562126714708530623120708202509500225350372024810634850215549980949885754645592631806621164324502768053338215107651576054952612461099986117440425044058788907408542995557144265831943028464041156485663414290065184275009492931552175849713482955257410055239969152636339512737062112025497503363499617524604587931055043038380336584998316845345895812841627467660194305520712074650902815951671587849079571394433484307768528670844038469919066307889446528057906092581740180193154436280991547307986209878838965184234725052619339488486322180791566348125753586028278993466614247215881467072452746090381441369938147261451891835729644189175895022754696072655858820961292922251932231722028677933028799802172659149616153072830254569113406443220781856436257266913732830210737057785079357726004108352505372291227141781058481576425635975846318749003635338289702197072202900876488586989133634382487035167729874574941803748133994389205810332599949781444746357328307527700921667659014832538657075301893949246829808503758597198734703889193001755164755354306644796841776578293580542184682954897905607838656846710104580440797603191045551731177371278020734776341427333821703805505158121555916982180449951322593609076982087048823023084970252767290435963223426108037257185402804490346432617391908996547271266128983140161576165156664328032456354595006991636626052184927689102636520939692943410026765024641037130035818425366613587780046994729614660675287496634604867965622155512052358907254655941463190636146265018718553813125152378000273561993575668242820148784690394840711132013825713389478447570433029338762062799970853179268264771333397787606957388812572878491658162062911116925946917952726020032617819496895102120551971401156902132128797403747238772120100424417475243348433842126364923516461140425491108118968830073756552273470647952515568801890545864464882392155900974746026618219291040948184978526635852508300525898605387377574386135491461976950564307023750100171390512006938333312726075369489024035065041739578598003471279473685388654431965445720004600949408198563633467509087996524250263304476951036366816704835037901168475525578545351947115428381362436127318818358919551565018367803199876846930405127652072307517845402042772368440408684994286926467099852425849993737825633349778781901700031849758074146399060082776026332730406458368265080535425715456306360378205189486668599750308864143612527756326708698367663451291656322250877434323835206308800632578709914709299125125343738242300322896247648096370511084713275390910718027611520740816284024771555791319057528219238558647479727173826055830582470015111840896466607021787937375965200956936068101111429251013011236604489903285692600666590994292645439711797726614279359259288496491778334789797641201482010169683973763030699739589857922974815204696906932444200541833851349982262014371599141220326907196497829006309595378031660407056991504311887516916243773519543631985351476039665042893197284991762097885087936517267796716248516572745496535575467344505357105778936786664256520624532257559987635603821565926564478489695742409655142063957055872836053298977976402642118780213932991537969204698442170705832671782555969972351286435970766849469958258386829784902170847896348659360306424016745834580855571842289019787346284605724327942630305775858594988882667427007174520609244497558384905059
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 3,553-digit prime (182 intermediate primes).

Certified number3,553-digit prime
Certificatedownload
Certificate chainshow step 12 of 182

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005813184937 --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":1100000005813184937},"decimal":true,"detail":2}}'