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Search: id:A113000
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| A113000 |
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Numbers n such that n, n+1, n+2, and n+3 are 1,2,3,4-semiprimes. |
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+0
2
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| 193, 421, 661, 1093, 1657, 2137, 2341, 2593, 6217, 7057, 8101, 9817, 12421, 12853, 15121, 16033, 16417, 17257, 17881, 19813, 20641, 21817, 25033, 25657, 27337, 28921, 30661, 31081, 31321, 31333, 32377, 35521, 36457, 38281, 40693, 45553
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OFFSET
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1,1
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EXAMPLE
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193 is prime (or 1-semiprime), 194=2*97 is 2-semiprime, 195=3*5*13 is 3-semiprime, 196=2*2*7*7 is 4-semiprime.
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MATHEMATICA
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Do[p=Prime[n]; If[Table[Total[FactorInteger[p+k]][[2]], {k, 3}]=={2, 3, 4}, Print[p]], {n, 1, 10000}]
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CROSSREFS
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Sequence in context: A065213 A100363 A142500 this_sequence A105129 A140631 A142117
Adjacent sequences: A112997 A112998 A112999 this_sequence A113001 A113002 A113003
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Jan 03 2006
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