[seqfan] Re: Infinite partial sumsets in the primes

[Fred Lunnon]

  I should like to see this appended as a comment to Tao's article!    WFL



On Fri, Jan 27, 2023 at 8:24 AM Don Reble via SeqFan <seqfan at list.seqfan.eu>
wrote:

> > might there be interesting (if difficult) `earliest' sequences to
> > investigate here?
>
> > ... then there exists an increasing sequence b_1 < b_2 < b_3 < ... of
> > primes such that b_i + b_j + 1 is prime for all i < j.
> > ... increasing sequences a_1 < a_2 < ... and b_1 < b_2 < ... of
> > natural numbers such that a_i + b_j is prime for all i<j.
>
>     The OEIS has many such sequences; for examples
>     A037100 A093483 A103828 A119751 A119752 A133761.
>
> --
> Don Reble  djr at nk.ca
>
>
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