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Old 2018-01-29, 14:20   #3
Nick's Avatar
Dec 2012
The Netherlands

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Originally Posted by lukerichards View Post
Why is:

3^k+2\equiv0 \pmod {3^x+2} (k>x)

equivalent to

3^k \equiv 1 \pmod {3^x+2} (k>x)
It's not entirely clear what you mean.
The conditions you have given relate to pairs of numbers k & x, and there exist positive integers k,x with k>x for which one condition holds and the other doesn't.
So how are you defining the sequence?
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