×

# Prove it

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

Note by Ravi Ranjan
1 year, 1 month ago

Sort by:

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

And it's proved. · 1 year ago

Put m=1 2^4=16 16-1=15 15 is divisible on 15... Answer is yes......(2^4m)-1 is divisible on 15..... · 1 year, 1 month ago