A345089 Averages of two consecutive odd-indexed odd primes.

8, 14, 20, 27, 36, 44, 53, 63, 70, 78, 90, 100, 106, 118, 132, 143, 153, 162, 173, 185, 194, 204, 219, 230, 237, 249, 263, 273, 280, 295, 310, 322, 339, 350, 360, 373, 384, 395, 410, 425, 435, 444, 455, 464, 477, 493, 504, 516, 535, 555, 567, 579, 593, 603, 612, 624, 637, 648

Offset

1,1

Links

Table of n, a(n) for n=1..58.

Formula

a(n) = (prime(2*n + 1) + prime(2*n + 3))/2.

a(n) = A345071(n+1)/2. - Jianing Song, Jun 09 2021

Example

8 is in the sequence since it is the average of 5 and 11, which are the 3rd and 5th prime numbers.

Mathematica

Table[(Prime[2 n + 1] + Prime[2 n + 3])/2, {n, 80}]

Crossrefs

Cf. A345070, A345071.

Sequence in context: A373475 A096786 A114527 * A200328 A363031 A108058

Adjacent sequences: A345086 A345087 A345088 * A345090 A345091 A345092

Keyword

nonn

Author

Wesley Ivan Hurt, Jun 07 2021

Status

approved