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A088709
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Numbers n which are a product of two primes j and k such that n+j+k is prime.
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1
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6, 10, 14, 15, 21, 26, 33, 34, 35, 38, 46, 51, 55, 57, 58, 65, 74, 85, 86, 93, 111, 118, 123, 141, 143, 145, 155, 158, 161, 166, 177, 178, 185, 194, 201, 203, 205, 206, 209, 215, 221, 254, 267, 278, 295, 298, 319, 321, 323, 326, 327, 329, 334, 341, 346, 355, 365
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| a(2)=10 because 10 has only one pair of prime factors (2 and 5) and 10+2+5=17 which is prime.
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MATHEMATICA
| lst={}; Do[If[FactorInteger[n][[1, 2]]==1&&FactorInteger[n][[2, 2]]==1, If[FactorInteger[n][[1, 1]]*FactorInteger[n][[2, 1]]==n, If[PrimeQ[p=n+FactorInteger[n][[1, 1]]+FactorInteger[n][[2, 1]]], AppendTo[lst, n]]]], {n, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 19 2009]
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CROSSREFS
| Cf. A001358.
Sequence in context: A093772 A046400 A100660 * A063078 A064452 A085647
Adjacent sequences: A088706 A088707 A088708 * A088710 A088711 A088712
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KEYWORD
| nonn
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AUTHOR
| Chuck Seggelin (barkeep(AT)plastereddragon.com), Oct 11 2003
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