A128996 - OEIS

%I #2 Mar 30 2012 17:26:23

%S 3,11,19,79,683,733,971,1433,1453,2531,3181,3931,4027,4111,4153,4943,

%T 6397,6491,6653,6673,6883,8521,8641,8969,10463,10477,10667,11383,

%U 11411,11587,12527,13229,15749,16631,17971,21757,21929,24767,27031,28859

%N Intersection of A061068 and A064270.

%C Primes which are equal to (some prime plus its subscript) and also to (some other prime minus its subscript). Primes of the form p(m)+m and p(n)-n, p(k) = k-th prime.

%F p=p(m)+m=p(n)-n for some m and some n>m.

%e 3=p(1)+1=2+1 and 3=p(4)-4=7-4 (that is m=1, n=4),

%e 11=p(4)+4=7+4 and 11=p(8)-8=19-8 (m=4, n=8),

%e 19=p(6)+6=13+6 and 19=p(10)-10=29-10 (m=6, n=10),

%e 79=p(18)+18=61+18 and 79=p(28)-28=107-28 (m=18, n=28),

%e 683=p(106)+106=577+106 and 683=p(144)-144=827-144 (m=106, n=144).

%Y Cf. A061068, A064270.

%K nonn

%O 1,1

%A _Zak Seidov_, Apr 30 2007