[seqfan] Re: New sequence

Peter Munn techsubs at pearceneptune.co.uk
Thu Apr 6 04:28:25 CEST 2017


Graeme McRae wrote:

> I also looked for even numbers such that *all* the values E+pn are prime.
> The only such even numbers I found smaller than 1000 were 8 and 12. In
> fact, the only even numbers smaller than 1000 such that all but one of the
> values E+pn are prime are 8, 12, 18, 24, and 30. I wonder if these
> sequences are finite.

I'm tempted to conjecture the finiteness of the subsequence of Claudio's
sequence formed by its intersection with the multiples of 6.

I find it a very interesting sequence.

Best Regards,

Peter




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