A228468 Numbers k such that the sum of the first k consecutive prime numbers is pandigital (includes all 10 digits at least once).

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

Shyam Sunder Gupta, Table of n, a(n) for n = 1..3350

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

Adjacent sequences: A228465 A228466 A228467 * A228469 A228470 A228471

Keyword

nonn,base,less

Author

Shyam Sunder Gupta, Aug 22 2013

Status

approved