A345069 - OEIS

%I #8 Aug 20 2024 14:20:52

%S 10,20,32,48,66,80,96,114,132,150,168,190,208,220,244,270,290,314,336,

%T 354,374,392,422,452,468,490,514,534,552,574,604,628,654,686,708,732,

%U 756,780,806,830,854,876,900,920,942,970,994,1024,1062,1098,1126,1146,1170,1194,1214

%N Sums of two consecutive even-indexed primes.

%H Harvey P. Dale, <a href="/A345069/b345069.txt">Table of n, a(n) for n = 1..1000</a>

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

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

%e 20 is in the sequence since it is the sum of 7 and 13, the 4th and 6th prime numbers.

%t Table[Prime[2 n] + Prime[2 n + 2], {n, 80}]

%t Total/@Partition[Prime[Range[2,120,2]],2,1] (* _Harvey P. Dale_, Aug 20 2024 *)

%Y Cf. A000040.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, Jun 06 2021