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Prime numbers whose decimal expansion has the same digit sum as its hexadecimal expansion. Only digits 1-9 are allowed in both the decimal and hexadecimal expansions.
2

%I #11 Jul 02 2014 17:21:25

%S 2,3,5,7,53,149,281,373,641,643,647,821,823,919,1319,1361,1367,1637,

%T 1811,1861,2129,2179,2357,4421,4423,5233,5237,5413,5417,5737,5783,

%U 6229,6277,6451,6547,8521,9241,9337,9511,9833,12611,12613,12841,13159,13331,13337

%N Prime numbers whose decimal expansion has the same digit sum as its hexadecimal expansion. Only digits 1-9 are allowed in both the decimal and hexadecimal expansions.

%C The sequence has a finite number of terms. The sequence is a subset of A244595.

%H Andreas Boe, <a href="/A244597/b244597.txt">Table of n, a(n) for n = 1..10000</a>

%e Decimal 1811 = hex 713 -> 1+8+1+1 = 7+1+3.

%Y Cf. A244595.

%K nonn,base

%O 1,1

%A _Andreas Boe_, Jul 01 2014