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A345070
Averages of two consecutive even-indexed primes.
2
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
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
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Jun 06 2021
STATUS
approved