Consecutive Squarefrees, Not Coprime

[Jud McCranie]

At 01:50 PM 8/20/2005, Leroy Quet wrote:
>I feel like an idiot for asking this question, whose solution must be
>obvious.
>
>Is this sequence in the EIS? (It *must* be.)
>
>Sequence: the lowest of 2 consecutive square-free integers, m and n,
>where m and n are not coprime.
>
>I think the sequence begins 174, ...
>(because 177 is the next squarefree integer, and both 174 and 177 are
>divisible by 3.)

If this sequence is not in the EIS (which would be a surprise), could
>someone please calculate/submit it?

It is in there: A077395