Are these number-theory seqs (almost) the same?

[Leroy Quet]

The sequence where m is included if (the smallest prime not dividing m)
does not divide (m-1), begins: 2, 8, 12, 14,...

I have calculated this by hand up until the term which is 72.

And, with the exception of the first few terms of A114891 and the 2 of 
the sequence above, the sequence above and sequence A114891 match up 
until at least their term equal to 72.

Are they the same sequence after their initial terms?
I doubt it, but maybe they are.

thanks,
Leroy Quet