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A108609 6-almost primes whose sum of factors is a prime. 2
96, 224, 360, 416, 486, 504, 600, 608, 792, 810, 992, 1176, 1184, 1224, 1368, 1376, 1400, 1890, 1952, 2040, 2088, 2184, 2232, 2250, 2336, 2528, 2600, 2754, 2760, 2904, 2952, 3080, 3104, 3296, 3384, 3480, 3510, 3640, 3726, 4064, 4158, 4248, 4312, 4392 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

96=2*2*2*2*2*3 (6-almost prime) and 2+2+2+2+2+3=13 is a prime.

MATHEMATICA

Select[Range[8000], Last[Plus@@FactorInteger[ # ]]==6&&PrimeQ[Plus@@Times@@ Transpose[FactorInteger[ # ]]]&]

CROSSREFS

Cf. A107707, A108607, A108608 (resp.) 3, 4, 5 (resp.)-almost primes whose sum of factors is a prime.

Sequence in context: A044809 A115437 A110231 * A125511 A124106 A202898

Adjacent sequences:  A108606 A108607 A108608 * A108610 A108611 A108612

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Jun 12 2005

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Last modified February 15 12:59 EST 2012. Contains 205788 sequences.