A088186 Sums of twin primes and their indices.

13, 19, 35, 51, 81, 111, 155, 185, 257, 273, 343, 371, 443, 471, 487, 555, 585, 655, 685, 753, 835, 1003, 1031, 1103, 1241, 1349, 1419, 1463, 1517, 1561, 1901, 1929, 1945, 2013, 2069, 2383, 2411, 2453, 2481, 2549, 2685, 2863, 2969, 2999, 3029, 3071, 3307

Offset

0,1

Comments

Add both primes of the pair as well as their prime indices.

Links

Table of n, a(n) for n=0..46.

Example

Prime(3) - prime(2) = 5 - 3 = 2; prime(3) + prime(2) + 3 + 2 = 13 = a(1).

Mathematica

f[{a_, b_}]:=a+b+Total[PrimePi[{a, b}]]; f/@Select[ Partition[ Prime[ Range[300]], 2, 1], Last[#]-First[#]==2&]  (* Harvey P. Dale, Apr 07 2011 *)

Crossrefs

Subset of primes in this sequence is A088187, subset of squares is A088188.

Sequence in context: A128342 A154076 A275660 * A089490 A057749 A040070

Adjacent sequences: A088183 A088184 A088185 * A088187 A088188 A088189

Keyword

easy,nonn

Author

Zak Seidov, Sep 22 2003

Extensions

Edited by Ray Chandler, Sep 29 2003

Status

approved