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A178907
n-th prime + n-th problime (third definition).
0
4, 7, 12, 18, 26, 32, 40, 47, 56, 67, 74, 85, 94, 101, 110, 121, 132, 140, 152, 162, 170, 182, 192, 204, 218, 228, 236, 246, 254, 264, 284, 294, 306, 314, 330, 338, 350, 362, 372, 384, 396, 405, 422, 431, 442, 451, 470, 489, 500, 509, 520, 533, 542, 559, 572, 585, 598, 607, 620, 631, 640, 657, 678
OFFSET
1,1
COMMENTS
The partial sequence of values which are themselves primes begins: 7, 47, 101. The partial sequence of values which are themselves problimes (third definition) begins: 4, 7, 85, 121.
FORMULA
a(n) = A000040(n) + A003068(n).
EXAMPLE
a(10) = prime(10) + A003068(10) = 29 + 38 = 67 is prime.
CROSSREFS
KEYWORD
nonn
AUTHOR
Jonathan Vos Post, Dec 29 2010
EXTENSIONS
Corrected and extended. - R. J. Mathar, Oct 20 2013
STATUS
approved