A119895 -id:A119895 - cp's OEIS frontend

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

Zak Seidov, May 26 2006

Cf. A054683, A118734, A118867, A119895, A119896, A119897.

edsQ[n_]:=And@@EvenQ[Total[IntegerDigits[#]]&/@(Prime[Range[5]]^n)]; Select[Range[1600],edsQ]  (* Harvey P. Dale, Apr 21 2011 *)

A119897 Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k, 17^k and 19^k have even digit sum.

Original entry on oeis.org

552, 657, 811, 1412, 1655, 2390, 2504, 2721, 2803, 2902, 3002, 3060, 3135, 3393, 3660, 4414, 4500, 4547, 4750, 4787, 4824, 5036, 5539, 5906, 6782, 7728, 8650, 9263, 9873, 9953, 10367, 10643, 10684, 10723, 11369, 11647, 11867, 11954

Offset: 1

Zak Seidov, May 26 2006

Harvey P. Dale, Table of n, a(n) for n = 1..1600

Cf. A054683, A118734, A118867, A119894, A119895, A119896.

edsQ[n_]:=AllTrue[Prime[Range[8]]^n,EvenQ[Total[IntegerDigits[#]]]&]; Select[ Range[12000],edsQ] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, May 10 2017 *)

More terms from Harvey P. Dale, May 10 2017

A119896 Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k and 17^k have even digit sum.

Original entry on oeis.org

90, 185, 447, 470, 503, 552, 657, 758, 804, 811, 1182, 1412, 1546, 1566, 1638, 1655, 2275, 2390, 2504, 2670, 2721, 2803, 2814, 2902, 2928, 3002, 3060, 3087, 3135, 3393, 3660, 3751

Offset: 1

Zak Seidov, May 26 2006

Cf. A054683, A118734, A118867, A119894, A119895, A119897.

cp's OEIS Frontend

A119894 Numbers k such that 2^k, 3^k, 5^k, 7^k and 11^k have even digit sum.

Views

Author

Keywords

Crossrefs

Programs

Mathematica

A119897 Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k, 17^k and 19^k have even digit sum.

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

Extensions

A119896 Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k and 17^k have even digit sum.

Views

Author

Keywords

Crossrefs