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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 #1100000007479679196 4,153 digits created 2024-09-27

Value

2210445617829025073527974242037741302671128818849433375405272561531852009171282208440415483718240904896868053358559464260937339104863425260880018782606328889384719826639397726635876996518333154647320544252841362085590570479340943757875530758480107130994499335757214813365202448291809469764439862592838984695782540058613127196180318842909368279372524085755203291226320744267881113460276928772637061520772820652065623568014873202010484820329882979146976222353581782980836765460553175041713057642896421678748867859741515815026031466901090098309559640205349433607380355178541747956568155407915864012630386150345081752085106318614434582979971666639329199009152085123508801953927415011212706563349343500837596088076338039640906004278806847895481205095549896847403813706304942327850843321026570565128632265939914134844862056005622307437769985309035900133310016244427640088503044988673528363134779675250886826322434220280924634327398966874067254213375337003875923201168773929039008599928937486009320312847609841077416377331265808573777453971674149529639435848468929616979062919681305140594600075192982832349606100199658854841692867762633871005814061326644988095511801858615855954140726539598522515476410955766298829421435594051472075675635253930965179242414162810895303871849975855320004757676135158172578976078180971942592519305677436242342474901200668847954551485978395056223796959450219450904020498032124375191116935887842757742829306572117280294108205611742413340851547762893716324873434301941479111045546928648626282042221722624412243164855758736108929656521066181333730717088095391445505567582401117520653380519160218766513327890457382136846772344751432440940151337718338436340759665603582481989880015310944103621929728427003017574018728742945437385834381659354922935481572819787962526990129141920167907059374550589137346813052057266352400736377727308397441893176472493331904403036624628155582969843258880931666365543070284819019778001410511463067335466065995090291584990116163925124479069278430794615293861111282548644221687418908204392085587302171072457486392655056701152118305582162901210424774380315562294658298416427585815140370842714452232434782383058384593473685875379233326824741192505231565340707868696232590209567770178489961428994590072701888449392884586044295061875191709402229953576660619910406302781347450034387613745995752005036787649045679192367713773064059691992087340714495147409084370207765539638886013403891135102690184734043507929105928688870727178299701532267574219420042693382996811590549238129687389999899429857796953933096014842496606596201631466302309597943704099841888879928218522992887228885844823441099028092194320619287209764919292882806766182693190672848659886136990982280213831963328583404815834496254259308823514875535497200244186146615680044736939496267576992550045669759914370579979021667737542678377677326278737582771943357201680086297761430625275047994982382544708425631228534155721584587518380144954870218169903243196916644497531927245083983656213406410208299428801919338806278641243672000550264387514856158988998610132569308071866448922568259745654218437409292023098762352607217284815484465905880401475004209401644547750185865174934465716838397640862424161597431921998304892642052130117998864061756391618418995941176139119674144666922988941172888682784260723933696748085050435260226172679001448056226893994418512940559855904583240559646482792826426732224743062886376469314238506836886335094398644046662978834667288558637059715091050096123251549875484875696556865840128114044247227531325355005867768615477629266412354577108996862945126641091411314356218353977567453938401838111366618240558797410276483035500927730918177525151432903191360811917262334857011242852346490410346942005249327123470024658450307663782694359314329030851585371360456005021220160762988208661452384592697983075376565768896433000860484387993422271606719591341692853064978084548685953699111222867831676606055628172290122060336255044806852830379050049066009113207282015112316112053300823332928878566650819504059733158314642801460315423249568162883301134535714051708362134796927820033466848460553738562666030230469071815260760454223984396274777604697
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 4,675-digit prime (315 intermediate primes).

Certified number4,675-digit prime
Certificatedownload
Certificate chainshow step 37 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007479679196 --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":1100000007479679196},"decimal":true,"detail":2}}'