Consecutive Squarefrees, Not Coprime

[Don Reble]

David, seqfans:

> 6 <=1292013541080148674
> I'm sure my bound on a(6) is rather loose and could be tightened with
> a little effort.

> Did you mean "what is the smallest consecutive squarefree a, b such that
> gcd(a, b) = n"? If so, I can confirm 1,2,3,5,7;

    I believe David does mean that.

> for a(6), did you mean ">=" rather than "<="?

    I believe David meant what he said, "<=".



    Continuing my speculation on David's intentions and methods, the
    sequence
        11 (2) 5 29 31 (6) 23 7 17 (2) 19
    yields a(6) <= 57879439071222. (Yay, the endpoints are squarefree.)

-- 
Don Reble  djr at nk.ca