A105100 Sum of ordered 3 prime sided prime triangles.

41, 156, 304, 462, 630, 834, 1020, 1214, 1420, 1618, 1824, 2076, 2288, 2514, 2712, 2926, 3198, 3460, 3656, 3874, 4086, 4370, 4598, 4888, 5100, 5346, 5626, 5886, 6126, 6332, 6580, 6836, 7146, 7386, 7678, 7848, 8208, 8560, 8762, 8962, 9258, 9498, 9696

Offset

1,1

Comments

An ordered 3 prime sided prime triangle is 6 consecutive primes arranged in an equilateral triangle of the form

...........p(6n-5)

.....p(6n-4).....p(6n-3)

.p(6n-2)...p(6n-1)......p(6n)

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

The first 3 prime sided prime triangle
2
3 5
7 11 13
adds up to 41, the first entry.

Mathematica

Total/@Partition[Prime[Range[300]], 6] (* Harvey P. Dale, Apr 30 2022 *)

Prog

(PARI) sumtri3x3(n) = { local(x, j, s); forstep(x=1, n, 6, s = prime(x)+prime(x+1)+prime(x+2)+prime(x+3)+prime(x+4)+prime(x+5); print1(s", ") ) }

Crossrefs

Sequence in context: A259835 A082252 A221811 * A141988 A347075 A158602

Adjacent sequences: A105097 A105098 A105099 * A105101 A105102 A105103

Keyword

easy,nonn

Author

Cino Hilliard, Apr 07 2005

Status

approved