[seqfan] Re: What in the next one? [primes isolated from squarefrees]

[Chris Thompson]

On Dec 25 2015, юрий герасимов wrote:

>Prime numbers, isolated from neighboring squarefrees by > n:  2, 17, 727, 47527, 2902021, ...
>
>What in the next one?

No-one seems to have followed up on this, for some reason...

The series starts 2, 17, 727, 47527, 29002021 (note typo above), 494501773

But although "successively more isolated primes" appear in OEIS as
http://oeis.org/A023186 we don't yet have "successively more isolated
square-free numbers" (without the prime requirement), which should start
1, 17, 26, 2526, 5876126, 8061827, ... (the next term is >10^9) doesn't.

It seems to me that might be of more interest, possibly even leading to
heroic computations along the lines of http://arxiv.org/abs/1210.3829
as mentioned in http://oeis.org/A045882

-- 
Chris Thompson
Email: cet1 at cam.ac.uk