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Search: id:A075673
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| A075673 |
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Sum of next n integer interprimes. |
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+0
3
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| 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
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OFFSET
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1,1
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COMMENT
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Sum of next n primes in A007468. Sum of next n odd interprimes in A075674. Sum of next n even interprimes in A075675.
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EXAMPLE
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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.
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MATHEMATICA
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(* 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}]
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CROSSREFS
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Cf. A007468, A075673, A075674, A075675.
Sequence in context: A100503 A085829 A085567 this_sequence A062827 A074448 A111038
Adjacent sequences: A075670 A075671 A075672 this_sequence A075674 A075675 A075676
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Sep 24 2002
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