A119894 Numbers k such that 2^k, 3^k, 5^k, 7^k and 11^k have even digit sum.
64, 90, 106, 168, 181, 185, 229, 242, 369, 407, 447, 470, 481, 503, 552, 568, 583, 612, 648, 657, 683, 684, 742, 758, 804, 811, 852, 863, 896, 915, 924, 928, 1000, 1004, 1068, 1103, 1113, 1126, 1182, 1402, 1410, 1412, 1420, 1428, 1473, 1483, 1484, 1546, 1566
Offset: 1
Programs
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Mathematica
edsQ[n_]:=And@@EvenQ[Total[IntegerDigits[#]]&/@(Prime[Range[5]]^n)]; Select[Range[1600],edsQ] (* Harvey P. Dale, Apr 21 2011 *)