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%I #13 Aug 23 2022 18:16:30
%S 3,5,29,41,137,179,191,197,227,269,281,311,461,641,809,821,827,881,
%T 1019,1031,1091,1277,1301,1451,1619,1721,1871,2027,2081,2087,2111,
%U 2267,2339,2591,2711,2801,2999,3167,3251,3257,3329,3527,3581,3671,3851,4001,4049,4157,4229,4241,4337,4421,4481
%N Lower twin primes whose sum of digits is a lower twin prime.
%C Members k of A001359 such that A007953(k) is in A001359.
%H Robert Israel, <a href="/A356147/b356147.txt">Table of n, a(n) for n = 1..10000</a>
%e a(3) = 29 is a term because 29, 29 + 2 = 31, 2 + 9 = 11 and 2 + 9 + 2 = 13 are primes.
%p filter:= proc(n) local s;
%p if not(isprime(n) and isprime(n+2)) then return false fi;
%p s:= convert(convert(n,base,10),`+`);
%p isprime(s) and isprime(s+2)
%p end:
%p select(filter, [3, seq(i,i=5..5000,6)]);
%t Select[Prime[Range[600]], AllTrue[{# + 2, (d = Plus @@ IntegerDigits[#]), d + 2}, PrimeQ] &] (* _Amiram Eldar_, Jul 28 2022 *)
%Y Cf. A001359, A007953.
%Y Subsequence of A046704.
%K nonn,base
%O 1,1
%A _J. M. Bergot_ and _Robert Israel_, Jul 27 2022
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