A328998 Primes that never appear as sums of terms in successive triples in A329333.

17, 43, 71, 103, 313, 347, 569, 601, 661, 859, 883, 1289, 1381, 1489, 1699, 1789, 1873, 2143, 2347, 2381, 2383, 2393, 2593, 2687, 2711, 2731, 2753, 2837, 3011, 3121, 3169, 3257, 3259, 3463, 3559, 3583, 3671, 3769, 3919, 4057, 4159, 4219, 4423

Offset

1,1

Comments

Sort A328997, remove duplicates, then list the missing primes.

Since we know that the first 20000 terms of A329333 are distinct, in order to show that a prime p is missing from the sums of pairs of terms of A329333, we only need to check until the terms of A329333 exceed p.

Links

Table of n, a(n) for n=1..43.

Example

A329333 begins 0, 1, 2, 7, 3, 6, 4, 5, 8, 10, 11, 9, 12, 14, 15, 13, 18, 17, 19, 20, ...
so we see the primes 2, 3, 5, 13, 7, 11, 13, 13, ...  But we do not see 17, and once we have seen all the numbers below 17 in A329333, we know 17 will never appear as a sum of two terms.

Crossrefs

Cf. A328997, A329333.

Sequence in context: A200321 A165981 A109998 * A031340 A172044 A098072

Adjacent sequences: A328995 A328996 A328997 * A328999 A329000 A329001

Keyword

nonn

Author

N. J. A. Sloane, Nov 14 2019

Status

approved