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A134619 Numbers such that the arithmetic mean of the cubes of their prime factors is a prime. 13
20, 44, 188, 297, 336, 400, 425, 540, 575, 605, 704, 752, 764, 908, 912, 1025, 1053, 1124, 1172, 1183, 1365, 1380, 1412, 1420, 1452, 1475, 1484, 1519, 1604, 1625, 1809, 1844, 1856, 1936, 1953, 2107, 2192, 2205, 2255, 2320, 2325, 2348, 2368, 2372, 2468 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

a(9)=605, since 605=5*11*11 and (5^3+2*11^3)/3=929 which is prime.

CROSSREFS

Cf. A001597, A025475, A134333, A134344, A134376.

Cf. A134600, A134602, A134605, A134608, A134613, A134617, A134621.

Sequence in context: A039322 A043145 A043925 * A044097 A044478 A145220

Adjacent sequences:  A134616 A134617 A134618 * A134620 A134621 A134622

KEYWORD

nonn

AUTHOR

Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Nov 11 2007

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Last modified February 16 17:48 EST 2012. Contains 205939 sequences.