A227756 - OEIS

%I #8 Aug 05 2013 03:26:20

%S 23,29,41,53,101,113,137,173,257,281,317,353,401,617,641,653,677,761,

%T 821,941,977,1181,1193,1361,1373,1433,1613,1697,1877,1901,2081,2153,

%U 2237,2273,2297,2333,2381,2633,2657,2693,2741,2777,2801,3137,3413,3461,3557

%N Primes p such that antisigma(p) = antisigma(p+1) + 12, where antisigma = A024816.

%C Primes p such that sigma(p + 1) = 2*p + 14.

%C This is the subsequence of primes in A227757.

%C Also primes p such that sigma(sigma(p)) - sigma(p) - p = 13 (see A227758). The composite numbers with this property are 333, 37377, 972691, 1089871,...

%H Jaroslav Krizek, <a href="/A227756/b227756.txt">Table of n, a(n) for n = 1..500</a>

%e The prime 41 is in sequence because antisigma(41) = 819 = antisigma(42) + 12 = 807 + 12.

%Y Cf. A024816, A227757, A051027.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Jul 26 2013