A106754 Primes p with digital sum equal to 11.

29, 47, 83, 137, 173, 191, 227, 263, 281, 317, 353, 443, 461, 641, 821, 911, 1019, 1091, 1109, 1163, 1181, 1217, 1307, 1361, 1433, 1451, 1523, 1613, 1721, 1811, 1901, 2027, 2063, 2081, 2153, 2207, 2243, 2333, 2351, 2423, 2441, 2531, 2621, 2711, 2801, 3251

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..41771 (first 2000 terms from Vincenzo Librandi)

Formula

Intersection of A000040 (primes) and A166311 (digit sum = 11), also equals { p in A000040 | A007953(p) = 11 }. - M. F. Hasler, Mar 09 2022

Mathematica

Select[Prime[Range[100000]], Total[IntegerDigits[#]]==11 &] (* Vincenzo Librandi, Jul 08 2014 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | &+Intseq(p) eq 11]; // Vincenzo Librandi, Jul 08 2014
(PARI) select( {is_A106754(n)=sumdigits(n)==11&&isprime(n)}, primes([1, 3333])) \\ M. F. Hasler, Mar 09 2022

Crossrefs

Cf. A000040 (primes), A007953 (sum of digits), A166311 (digit sum = 11).

Cf. A062339 (same for digit sum s = 4), ..., A107579 (s = 10), A106755 (s = 13), and others listed in A244918 (s = 68).

Subsequence of A119891 (prime trios: chain of prime sums of digits; also has as subsequence A106762 (s = 23), A106774 (s = 41), etc).

Sequence in context: A102852 A138052 A119891 * A222413 A063642 A108258

Adjacent sequences: A106751 A106752 A106753 * A106755 A106756 A106757

Keyword

nonn,base

Author

Zak Seidov, May 16 2005

Status

approved