A165432 Numbers n such that the concatenation of n^0 n^1 n^2 n^3 n^4 is prime.

23, 51, 61, 113, 137, 179, 183, 203, 217, 229, 271, 273, 299, 307, 317, 331, 361, 399, 449, 467, 481, 633, 699, 701, 713, 797, 819, 833, 947, 993, 1021, 1039, 1073, 1117, 1187, 1193, 1269, 1371, 1407, 1413, 1427, 1437, 1451, 1453, 1467, 1469, 1511, 1521

Offset

1,1

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Example

Example 23 is in the list because the concatenation of  23^0 23^1 23^2 23^3 23^4 is 12352912167279841 and this number is prime

Mathematica

Select[Range[2000], PrimeQ[FromDigits[Flatten[{IntegerDigits[#^0], IntegerDigits[#^1], IntegerDigits[#^2], IntegerDigits[#^3], IntegerDigits[#^4]}]]] &]
Select[Range[2000], PrimeQ[FromDigits[Flatten[IntegerDigits/@(#^Range[0, 4])]]]&] (* Harvey P. Dale, Dec 18 2019 *)

Crossrefs

Sequence in context: A185187 A157095 A281266 * A067625 A140689 A172034

Adjacent sequences: A165429 A165430 A165431 * A165433 A165434 A165435

Keyword

nonn,base

Author

Claudio Meller, Jul 05 2011

Status

approved