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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 #1100000005816067393 4,687 digits created 2024-01-27

Value

2672407259736174380311862598585705064194145953862959492002971014148518535962189818851884362065335093818068949156134803867898556385305774650441286951816086913432932210869064614215537697541851358635163477079494390854621687993599587387954290391294386271947165450908862058282715221046589211122036290268856839293927180685054513159789618933594933994182034480142436730365083476980568414915973273807749495162596477237141659971892369335209297992435917025731540248582713665838125553677916122605349412244231863245200343917477129526837889727773482589092825951962458819044727519323772207343924314117075170760311033858870534449212233474415137188004932727562275979879184020757666756773459817210302092272332427792063933270521873513198527950136698519153753391632500915090085689414636438349308277702853265296256663707116176717036873808492360993234316677552818638140536800697997030954700180839673469974507047984852805149886484653688009632288932412297500789971909864031344175366623082621770760090064609148987328849923596802625158396467168879672984634099541210081931569991726678442167553880355510054463668950620222744352810997388202864798672319596406617045714421137189785788954365681172286691288690419218607050579636427373132822825367521190215269506883839069904457775214095527078315204609465166914156624335768701272203660066226122613711758765480422712237056313102312103406372147784360495446799889167930221969400137889111221349738864054251259211470243010005462822019020871648066014643930809056237926381538530404148174819492269248155202600120980620654856477652321938091881982648889761127518214071876020427953953109604803669995733885455194841654718213882603725685729116924408933098374805021425528085443935941859502243908014328941738143852104462239125141546298179289920635438594809106393557868667691519782719991023615417453625217901088411785902519658657639657831406501479948961617141203452709989618981262003809509341835536071039200175747460154460267173663602129844718348751068483731714995228050520149893610241582950383549588310045048592963775735411791154153779509077146810780867035215978682157875130622544124151307208348230825549040525115561263951329481783649016565965849946592319889383718338145437343691911527786890953640126738940533257959999411409573438903537792535162549380725580056412104253706639544938410308601656563432081864908452629202009552027269521939901970038226993130294906852903278665994014582432130974548721683360116240044936888359410211529574938183219403579774173578357208152526180702883183524208049091616481013985129185219229096835788045589730924637962209523845423243594608302820320778069702669176776776421085019995119684658922761611087176059692841935236804916489534688640678839195425068951893873358776709204641308937313644999221079069014881028838993536732833341684251170367845352352175519249028704910626903182649150860065481016140166493605375920230758702672074531237201612534111535739987574316529287091985121204558167447485946268957904056436053965473076219546131670683059103268418404000218103141778583471507384570101419273318032794334119201172581296000765898893494206708247053592660740070562620702855591684712659032532351905513238231454250706289205187958011972233517913045887199769748993984999901309688927972709386963312952743881381050491865744469678914891739740096595412687564385707392683603245829707235424596451277164753239927188619793965536015552414331877335433727497969648989359461317750950686119760329528853127216139107036628990292414283033750149173203159964077233529647239799364560005938920264570567141258874803105878536677346684554268862346524991683166440623733434716982198546434394711676906234725487601910036729087000228014928715409171200248373715196191022790871749928214684426623068190683456219947480691881363501944183282002257311257552260129320753987803547650179365322549877407655421147537339354855323942154344616202770521099288850735520955826063150990477997581847333298062773258308131564408071263710419268746822711442414635733576780931484853841229947315015081670630452792090457825905664167763970257996439670081789261666782782354227694408893927944300070965154370514261070017303960241224794300823796483668284646886829814347038800615585800845616910293473925171452902425437437842585795806791138055009543631319621679101498560057761729071687343388595621924035954855364772163961788147950917890452683946118162084103733812134219584286572503625435225732240375498515026862883166122122792445522772936241045725003445254079750317188316415133644491524728277083907021757078440887064721991482118894965312238244815200080718647026211633594144724012506052695268083040469180131595995113517825127853464521455463780385585232406782489297563348834005953746657849377033161976698729996392247658036713271202389521
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 4,860-digit prime (294 intermediate primes).

Certified number4,860-digit prime
Certificatedownload
Certificate chainshow step 14 of 294

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005816067393 --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":1100000005816067393},"decimal":true,"detail":2}}'