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A174520 Sum of all composite numbers in-between prime numbers p(n) and p(n+2). 1
4, 10, 33, 39, 57, 63, 81, 193, 160, 200, 287, 159, 177, 385, 530, 340, 380, 527, 279, 452, 623, 673, 1081, 948, 399, 417, 423, 441, 1893, 1947, 1057, 808, 1434, 1446, 920, 1570, 1295, 1345, 1730, 1060, 1854, 1866, 777, 783, 2453, 4642, 3062, 903, 921, 1873 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

2_3_4_5 -> 4, 3_4_5_6_7 -> 4+6=10, 5_6_7_8_9_10_11 -> 6+8+9+10=33, ..

LINKS

Table of n, a(n) for n=1..50.

MATHEMATICA

f[n_, x_]:=n*x+x*(x+1)/2; Table[f[Prime[n], Prime[n+2]-Prime[n]-1]-Prime[n+1], {n, 5!}]

CROSSREFS

Cf. A034962, A054265, A174518, A174519

Sequence in context: A151746 A110145 A185631 * A179654 A162427 A165730

Adjacent sequences:  A174517 A174518 A174519 * A174521 A174522 A174523

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Mar 21 2010

STATUS

approved

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Last modified June 24 05:50 EDT 2017. Contains 288697 sequences.