A340558 a(n) is the smallest prime that can be the apex of a triangle with n rows, all entries being distinct primes, and all row sums equal.

2, 19, 53, 131, 269, 503, 853, 1361, 1999, 2879, 3989

Offset

1,1

Comments

A109724(n) is a lower bound for the sum of terms of triangle.

Links

Table of n, a(n) for n=1..11.

Carlos Rivera, Puzzle 1026. Another pine-like-prime puzzle, Prime Puzzles and Problems Connection.

Example

            19
For n=2: 3  5  11 , so a(2) = 19.

Crossrefs

Cf. A047837, A109724.

Sequence in context: A226489 A125201 A215392 * A140544 A204219 A042149

Adjacent sequences: A340555 A340556 A340557 * A340559 A340560 A340561

Keyword

nonn,more

Author

Michel Marcus, Jan 11 2021

Status

approved