Prove that (2^15)-(2^3) divides (a^15)-(a^3)?

I know that (2^15)-(2^3)=5*7*8*9*13

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- Dec 7th 2009, 08:11 AMMichaelGProof using Eulers Theorem
Prove that (2^15)-(2^3) divides (a^15)-(a^3)?

I know that (2^15)-(2^3)=5*7*8*9*13 - Dec 7th 2009, 11:10 AMtonio