A345069 Sums of two consecutive even-indexed primes.

10, 20, 32, 48, 66, 80, 96, 114, 132, 150, 168, 190, 208, 220, 244, 270, 290, 314, 336, 354, 374, 392, 422, 452, 468, 490, 514, 534, 552, 574, 604, 628, 654, 686, 708, 732, 756, 780, 806, 830, 854, 876, 900, 920, 942, 970, 994, 1024, 1062, 1098, 1126, 1146, 1170, 1194, 1214

Offset

1,1

Links

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

Formula

a(n) = prime(2*n) + prime(2*n+2).

Example

10 is in the sequence since it is the sum of 3 and 7, which are the 2nd and 4th prime numbers.
20 is in the sequence since it is the sum of 7 and 13, the 4th and 6th prime numbers.

Mathematica

Table[Prime[2 n] + Prime[2 n + 2], {n, 80}]
Total/@Partition[Prime[Range[2, 120, 2]], 2, 1] (* Harvey P. Dale, Aug 20 2024 *)

Crossrefs

Cf. A000040.

Sequence in context: A269238 A279420 A274051 * A187712 A130720 A046285

Adjacent sequences: A345066 A345067 A345068 * A345070 A345071 A345072

Keyword

nonn

Author

Wesley Ivan Hurt, Jun 06 2021

Status

approved