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A228468
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Numbers k such that the sum of the first k consecutive prime numbers is pandigital (includes all 10 digits at least once).
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2
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14353, 18572, 22876, 25212, 26799, 27803, 28752, 30510, 32011, 32423, 32515, 35137, 37055, 42840, 43058, 43167, 43211, 43288, 43315, 43830, 46713, 46766, 48281, 48319, 48471, 49118, 51415, 52047, 52086, 53022, 53092, 54940, 54979, 55065, 55269, 55769
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OFFSET
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1,1
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COMMENTS
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A049442 is a subset of this sequence.
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LINKS
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EXAMPLE
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a(15)=43058 because the 43058th prime is 519947 and 2 + 3 + 5 + 7 + 11 + ... + 519947 = 10689537247, which is pandigital.
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MATHEMATICA
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b = {}; a = 0; Do[a = a + Prime[i]; u = Union[IntegerDigits[a]]; If[Equal[u, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}], AppendTo[b, i]], {i, 1, 60000}]; b
Position[Accumulate[Prime[Range[56000]]], _?(Min[DigitCount[#]]> 0&)]// Flatten (* Harvey P. Dale, Apr 14 2020 *)
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CROSSREFS
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KEYWORD
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nonn,base,less
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AUTHOR
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STATUS
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approved
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