A345070 Averages of two consecutive even-indexed primes.

5, 10, 16, 24, 33, 40, 48, 57, 66, 75, 84, 95, 104, 110, 122, 135, 145, 157, 168, 177, 187, 196, 211, 226, 234, 245, 257, 267, 276, 287, 302, 314, 327, 343, 354, 366, 378, 390, 403, 415, 427, 438, 450, 460, 471, 485, 497, 512, 531, 549, 563, 573, 585, 597, 607, 616, 630

Offset

1,1

Links

Table of n, a(n) for n=1..57.

Formula

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

Example

10 is the average of 7 and 13, which are the 4th and 6th prime numbers.

Mathematica

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

Crossrefs

Cf. A000040, A031215, A345071.

Sequence in context: A365701 A306351 A215341 * A194275 A026059 A115002

Adjacent sequences: A345067 A345068 A345069 * A345071 A345072 A345073

Keyword

nonn

Author

Wesley Ivan Hurt, Jun 06 2021

Status

approved