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A108018
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a(n) = the number of primes representable as the sum of some subset of the set of first n primes.
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4
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1, 3, 4, 5, 9, 12, 16, 19, 25, 31, 37, 43, 51, 59, 66, 75, 84, 95, 103, 115, 127, 137, 150, 162, 177, 191, 205, 218, 233, 250, 267, 282, 299, 319, 338, 359, 376, 399, 421, 440, 461, 481, 508, 531, 556, 578, 602, 629, 653, 683, 707, 737, 765, 793, 824, 853, 883
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OFFSET
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1,2
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COMMENTS
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LINKS
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MATHEMATICA
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(* This program is not suitable to compute a large number of terms. *)
a[n_] := a[n] = Select[Total /@ Subsets[Table[Prime[i], {i, 1, n}]], PrimeQ] // Union // Length;
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PROG
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(Haskell)
import Data.List (subsequences, nub)
a108018 = sum . map a010051' . nub . map sum .
tail . subsequences . flip take a000040_list
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CROSSREFS
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Cf. A071810 (same count but with multiplicities).
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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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