[seqfan] Re: Infinite partial sumsets in the primes

[Don Reble]

> 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