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A134614 Numbers (excluding primes and powers of primes) such that the cube mean of their prime factors is an integer (where the cube mean of c and d is ((c^3+d^3)/2)^(1/3)). 2
1512, 337365, 375360, 523809, 707265, 1177176, 1255254, 1380918, 1549431, 1922816, 2277345, 2284389, 2286144, 2816883, 3320713, 3340428, 3838185, 4378333, 6726969, 7043655, 8311212 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Numbers included in A134611, but not in A025475.

a(0)=1512 is the minimal number with this property.

EXAMPLE

a(0)=1512, since 1512=2*2*2*3*3*3*7 and ((3*2^3+3*3^3+7^3)/7)^(1/3)=64^(1/3)=4.

CROSSREFS

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

Cf. A134600, A134602, A134605, A134608, A134611, A134619, A134621.

Sequence in context: A037150 A034601 A022059 * A134613 A187294 A107523

Adjacent sequences:  A134611 A134612 A134613 * A134615 A134616 A134617

KEYWORD

nonn

AUTHOR

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

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Last modified February 14 07:38 EST 2012. Contains 205595 sequences.