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A075673 Sum of next n integer interprimes (cf. A024675). 3
4, 15, 45, 111, 232, 422, 704, 1129, 1667, 2403, 3287, 4470, 5810, 7508, 9414, 11663, 14363, 17454, 20715, 24739, 29214, 33957, 39183, 45540, 52056, 59497, 67181, 75862, 84831, 95697, 106608, 117812, 130356, 143759, 158617, 174312, 190500 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Sum of next n primes is A007468. Sum of next n odd interprimes is A075674. Sum of next n even interprimes is A075675.

LINKS

Table of n, a(n) for n=1..37.

EXAMPLE

a(1) = (3+5)/2 = 4; a(2) = (5+7)/2+(7+11)/2 = 15; a(3) = (11+13)/2+(13+17)/2 +(17+19)/2 = 45.

MATHEMATICA

(* sum of next n integer interprimes*) i1 := n(n-1)/2+1; i2 := n(n-1)/2+n; Table[Sum[(Prime[i+2]+Prime[i+1])/2, {i, i1, i2}], {n, 1, 40}]

CROSSREFS

Cf. A024675, A007468, A075673, A075674, A075675.

Sequence in context: A331317 A259664 A321880 * A062827 A074448 A297088

Adjacent sequences:  A075670 A075671 A075672 * A075674 A075675 A075676

KEYWORD

nonn

AUTHOR

Zak Seidov, Sep 24 2002

STATUS

approved

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Last modified June 18 16:47 EDT 2021. Contains 345120 sequences. (Running on oeis4.)