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A054265 Sum of composite numbers between successive primes. +0
7
0, 4, 6, 27, 12, 45, 18, 63, 130, 30, 170, 117, 42, 135, 250, 280, 60, 320, 207, 72, 380, 243, 430, 651, 297, 102, 315, 108, 333, 1560, 387, 670, 138, 1296, 150, 770, 800, 495, 850, 880, 180, 1674, 192, 585, 198, 2255, 2387, 675, 228, 693, 1180, 240, 2214, 1270 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n)=(p(n+1)+p(n))*(p(n+1)-p(n)-1)/2, where p(n) is n-th prime and p(1)=2. - Zak Seidov (zakseidov(AT)yahoo.com), Sep 12 2002

EXAMPLE

Between 7 and 11 we have 8 + 9 + 10 which is a(4)=27.

CROSSREFS

Cf. A046933, A054264, A054266, A054267, A054268.

Sequence in context: A123873 A099941 A074120 this_sequence A105409 A109934 A068321

Adjacent sequences: A054262 A054263 A054264 this_sequence A054266 A054267 A054268

KEYWORD

nonn

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Apr 15 2000.

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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