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Prove it

Prove that \( 2^{4m}-1\) is divisible by 15,where \(m\) is any integer.

Note by Ravi Ranjan
9 months, 4 weeks ago

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2^4 = 1 (mod 15) or, 2^4m = 1 (mod 15) or, 2^4m -1 = 0 (mod 15)

And it's proved. Mahadi Hasan · 9 months ago

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Put m=1 2^4=16 16-1=15 15 is divisible on 15... Answer is yes......(2^4m)-1 is divisible on 15..... Shahzad Saleem · 9 months, 4 weeks ago

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@Shahzad Saleem You did not prove it, you just checked a case. Checking a case that does not represent all other cases is not a proof. Anupam Nayak · 9 months, 1 week ago

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