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A228468
Numbers k such that the sum of the first k consecutive prime numbers is pandigital (includes all 10 digits at least once).
2
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
OFFSET
1,1
COMMENTS
A049442 is a subset of this sequence.
LINKS
EXAMPLE
a(15)=43058 because the 43058th prime is 519947 and 2 + 3 + 5 + 7 + 11 + ... + 519947 = 10689537247, which is pandigital.
MATHEMATICA
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 *)
CROSSREFS
Cf. A049442.
Sequence in context: A249314 A249207 A049442 * A296813 A234678 A237788
KEYWORD
nonn,base,less
AUTHOR
Shyam Sunder Gupta, Aug 22 2013
STATUS
approved