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A073686
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Group the composite numbers so that the sum of each group is a prime: (4, 6, 8, 9, 10), (12, 14, 15), (16, 18, 20, 21, 22), (24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55), ...; sequence gives sum of terms in each group.
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3
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37, 41, 97, 983, 113, 307, 131, 137, 367, 653, 541, 383, 199, 311, 547, 229, 233, 2293, 281, 5689, 1511, 4349, 439, 443, 449, 1381, 4159, 769, 1571, 2441, 557, 2281, 3253, 2137, 1567, 4877, 9439, 1103, 1487, 751, 6977, 1201, 2843, 823, 827, 9413, 1777
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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t1 = Rest[Select[Range[450], ! PrimeQ[#] &]]; t = {}; s = 0; Do[s += i; If[PrimeQ[s], AppendTo[t, s]; s = 0], {i, t1}]; t (* Jayanta Basu, Jul 07 2013 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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