|
%I #6 Oct 28 2015 04:31:50
%S 227,827,1201,1621,2179,2333,2441,2711,3041,3251,3329,3541,5147,5167,
%T 5701,5711,6131,6661,6833,7321,7331,8501,9209,9239,10271,13807,14251,
%U 14449,14629,15731,15761,16007,16139,16619,16741,17291,19421,20231,20441,20507,22441
%N Chen primes A109611(k) which have the same sum-of-digits as their index k.
%C The associated indices k are:
%C 38, 98, 130, 163, 199, 209, 218, 236, 260, 272, 278, 292, 386, 388, 418, 419, 443, 469, 479, 508,...
%C The indices of A109611(k) in the primes A000040 are A000720(A109611(k)) =
%C 49, 144, 197, 257, 327, 345, 362, 395, 436, 458, 469, 496, 686, 688, 751, 752, 799, 859, 880, 933, 934, 1060, ..
%C Some entries are also Honaker primes (A033548): 2441, 5701, 5711, 15761, 26119, 31517, 34471, 37019, 44221,...
%D M. du Sautoy: Die Musik der Primzahlen: Auf den Spuren des groessten Raetsels der Mathematik, Beck, 4. Auflage, 2005
%H B. Green and T. Tao, <a href="http://dx.doi.org/10.5802/jtnb.538">Restriction Theory of the Selberg Sieve, with Applications</a>, J. Théor. Nombres Bordeaux 18, 2006.
%F {A109611(k): A007953(A109611(k)) = A007953(k) }.
%e a(1) = 227 = A109611(38) where 2+2+7 = 11 = 3+8.
%e a(2) = 827 = A109611(98), where 8+2+7 =17= 9+8.
%Y Cf. A033548, A109611, A174924.
%K base,nonn
%O 1,1
%A Ulrich Krug (leuchtfeuer37(AT)gmx.de), Apr 06 2010
%E 9241 replaced by 9239, and lists of examples reduced by _R. J. Mathar_, Jun 07 2010
|
