I am trying to generate an infinite arithmetic sequence that does contain any powers ( other than 1).
For example, i know 7, 17, 27, 37, ... etc does not contain square numbers, because no square number can end in a 7.
And i could probably do something similar for cube numbers...
But, i am stuck trying to generate one that doesn't contain any powers ( squares, cubes etc.)
Just exploring a problem that occurred to me, not even sure if it is possible?
Any ideas of where to start would be helpful!
For example, i know 7, 17, 27, 37, ... etc does not contain square numbers, because no square number can end in a 7.
And i could probably do something similar for cube numbers...
But, i am stuck trying to generate one that doesn't contain any powers ( squares, cubes etc.)
Just exploring a problem that occurred to me, not even sure if it is possible?
Any ideas of where to start would be helpful!