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%I #24 Mar 10 2022 03:36:30
%S 29,47,83,137,173,191,227,263,281,317,353,443,461,641,821,911,1019,
%T 1091,1109,1163,1181,1217,1307,1361,1433,1451,1523,1613,1721,1811,
%U 1901,2027,2063,2081,2153,2207,2243,2333,2351,2423,2441,2531,2621,2711,2801,3251
%N Primes p with digital sum equal to 11.
%H Alois P. Heinz, <a href="/A106754/b106754.txt">Table of n, a(n) for n = 1..41771</a> (first 2000 terms from Vincenzo Librandi)
%F Intersection of A000040 (primes) and A166311 (digit sum = 11), also equals { p in A000040 | A007953(p) = 11 }. - _M. F. Hasler_, Mar 09 2022
%t Select[Prime[Range[100000]], Total[IntegerDigits[#]]==11 &] (* _Vincenzo Librandi_, Jul 08 2014 *)
%o (Magma) [p: p in PrimesUpTo(10000) | &+Intseq(p) eq 11]; // _Vincenzo Librandi_, Jul 08 2014
%o (PARI) select( {is_A106754(n)=sumdigits(n)==11&&isprime(n)}, primes([1, 3333])) \\ _M. F. Hasler_, Mar 09 2022
%Y Cf. A000040 (primes), A007953 (sum of digits), A166311 (digit sum = 11).
%Y Cf. A062339 (same for digit sum s = 4), ..., A107579 (s = 10), A106755 (s = 13), and others listed in A244918 (s = 68).
%Y Subsequence of A119891 (prime trios: chain of prime sums of digits; also has as subsequence A106762 (s = 23), A106774 (s = 41), etc).
%K nonn,base
%O 1,1
%A _Zak Seidov_, May 16 2005
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