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A088186 Sums of twin primes and their indices. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 28 22:01 EDT 2020. Contains 337417 sequences. (Running on oeis4.)