MathematicsMathematicsMathematicsMathematicsIn the Real WorldIn the Real WorldIn the Real WorldIn the Real World

23

e)2ln(

)45sin(

i

Ronda SellersRonda SellersJosie RyanJosie RyanDouglas Meade

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Cryptography & Large NumbersCryptography & Large NumbersCryptography & Large NumbersCryptography & Large Numbers

Cryptography & Large NumbersCryptography & Large NumbersCryptography & Large NumbersCryptography & Large Numbers

Can you factor these numbers?Can you factor these numbers?Can you factor these numbers?Can you factor these numbers?

77 =77 = (7)(11)(7)(11)

247 =247 = (13)(19)(13)(19)

Cryptography & Large NumbersCryptography & Large NumbersCryptography & Large NumbersCryptography & Large Numbers

What about this one?What about this one?What about this one?What about this one?

706585878910305260698957279618679749108070658587891030526069895727961867974910809305905134727020021495614507203355581852930590513472702002149561450720335558185211643905304765293050055568512663818097271164390530476529305005556851266381809727421555346431668975342327840968990888514542155534643166897534232784096899088851452642667874278058237426435327878598032621264266787427805823742643532787859803262168455609427951142191873362735205924406696845560942795114219187336273520592440669351687321365562104676251068471042382555235168732136556210467625106847104238255528149222653968293165221726455181492226539682931652217264551

Cryptography & Large NumbersCryptography & Large NumbersCryptography & Large NumbersCryptography & Large Numbers

It’s the product of these two primes.It’s the product of these two primes.It’s the product of these two primes.It’s the product of these two primes.

204616454475328391399619135615615385636820461645447532839139961913561561538563680845596311680282072992740226063562164517084559631168028207299274022606356216451772483642720939777478396011259618637850737248364272093977747839601125961863785073671961509749189348777945177811671961509749189348777945177811

34532212021858769066386296321753594990993453221202185876906638629632175359499099670410652382616441386629981117932849225567041065238261644138662998111793284922552468930895051105560138842275277656203736246893089505110556013884227527765620373608176534108677991379000729369068816213410817653410867799137900072936906881621341

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UnsharpenedUnsharpened OutputOutput

SharpenedSharpened OutputOutput

Data CompressionData CompressionData CompressionData Compression

975:1975:1 219:1219:1

Data CompressionData CompressionData CompressionData Compression

58:158:1 18:118:1

Dean CrawleyDean CrawleyDean CrawleyDean Crawley

1:11:1

MathematicsMathematicsMathematicsMathematicsIn the Real WorldIn the Real WorldIn the Real WorldIn the Real World

23

e)2ln(

)45sin(

i

Ronda SellersRonda SellersJosie RyanJosie RyanDouglas MeadeDouglas Meade

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