login
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
OFFSET
0,1
COMMENTS
Add both primes of the pair as well as their prime indices.
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
KEYWORD
easy,nonn
AUTHOR
Zak Seidov, Sep 22 2003
EXTENSIONS
Edited by Ray Chandler, Sep 29 2003
STATUS
approved