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%I #34 Jul 23 2023 22:22:23
%S 523,1069,1259,1759,1913,2503,3803,4159,4373,4423,4463,4603,4703,4733,
%T 5059,5209,6229,6529,6619,7159,7433,7459,8191,9109,9749,9949,10691,
%U 10753,12619,12763,12923,13763,14033,14303,14369,15859,15973,16529,16673,16903,17239,17359
%N Primes p such that p and p+18 are consecutive primes with equal digital sum.
%C Subsequence of A066540 and A209663 (A066540 contains some consecutive primes with differences greater than 18; A209663 allows nonconsecutive primes).
%H Seiichi Manyama, <a href="/A209875/b209875.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..2999 from R. J. Mathar)
%e 19013 is in the sequence because 19013 is prime, 19013 + 18 = 19031 is the next prime, and sum_of_digits(19013) = sum_of_digits(19031) = 14.
%o (PARI) {forprime(n=3, 20000, my(m=nextprime(n+1)); if(m-n==18 && sumdigits(n) == sumdigits(m), print1(n, ", ")))} \\ _Antonio Roldán_, Dec 21 2012
%Y Cf. A066540, A209663.
%K nonn,base,less
%O 1,1
%A _Antonio Roldán_, Mar 14 2012
%E "Correction" of early 2012 undone by _R. J. Mathar_, Feb 20 2023
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