For every natural number n 1, show
that
$$
n^6 - n
$$
is divisible by 56786730
Notice that
$$
56786730=2\times 3\times 5\times 7\times 11\times 13\times
31\times 61
$$

Question

For every natural number n > 1, show
that 
$$
n^6 - n
$$
is divisible by 56786730
Notice that
$$
56786730=2\times 3\times 5\times 7\times 11\times 13\times
   31\times 61
$$

apoorvk · Answer

how is 2^6-2 divisible by that mammoth no. btw? I don't see how..

apoorvk · Answer

or maybe I am unable to comprehend what the question means.

anonymous · Answer

$$
\frac{2^{61}-2}{56786730}=4060
   5314115
$$
Sorry,
I have a misprint
$$
n^6 -n
$$

apoorvk · Answer

Ohkay, np. now let's think.

experimentx · Answer

is it 61??

anonymous · Answer

Yes,
I closed this question and posted the corrected one.

anonymous · Answer

It is
$$
n^{61} -n
$$