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A075674 Sum of next n odd interprimes. +0
3
9, 36, 153, 378, 805, 1576, 2733, 3818, 5857, 8006, 10537, 14812, 19389, 23472, 29757, 36416, 44067, 52274, 61307, 71740, 86195, 104056, 120463, 138128, 158209, 181160, 205973, 229728, 255013, 281608 (list; graph; listen)
OFFSET

1,1

COMMENT

Sum of next n primes in A007468. Sum of next n integer interprimes in A075673. Sum of next n even interprimes in A075675.

EXAMPLE

a(1) = (7+11)/2 = 9; a(2) = (13+17)/2+(19+23)/2 = 15 + 21 = 36.

MATHEMATICA

(* sum of next n odd interprimes*) od=Select[Table[(Prime[i]+Prime[i+1])/2, {i, 2, 2000}], OddQ]; i1 := n(n-1)/2+1; i2 := n(n-1)/2+n; A075674=Table[Sum[od[[i]], {i, i1, i2}], {n, 30}]

CROSSREFS

Cf. A007468, A075673, A075674, A075675.

Sequence in context: A023872 A034557 A002063 this_sequence A110752 A094973 A038780

Adjacent sequences: A075671 A075672 A075673 this_sequence A075675 A075676 A075677

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Sep 24 2002

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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