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A102724 Sum of the first n pairs of consecutive primes (for example, a(3) = (2+3) + (3+5) + (5+7) = 25). 3
5, 13, 25, 43, 67, 97, 133, 175, 227, 287, 355, 433, 517, 607, 707, 819, 939, 1067, 1205, 1349, 1501, 1663, 1835, 2021, 2219, 2423, 2633, 2849, 3071, 3311, 3569, 3837, 4113, 4401, 4701, 5009, 5329, 5659, 5999, 6351, 6711, 7083, 7467, 7857, 8253, 8663, 9097 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Partial sums of A001043.
LINKS
FORMULA
a(n) = 2sum(prime(i), i = 1 .. n) - (2 + prime(n)). - Alonso del Arte, Apr 21 2016
EXAMPLE
a(1) = 5 = (2+3).
a(2) = 13 = (2+3) + (3+5).
a(3) = 25 = (2+3) + (3+5) + (5+7).
MATHEMATICA
Table[Sum[Prime[i] + Prime[i + 1], {i, n}], {n, 47}] (* Ray Chandler, Feb 12 2005 *)
Table[2Sum[Prime[i], {i, n}] - (2 + Prime[n]), {n, 2, 50}] (* Alonso del Arte, Apr 26 2016 *)
Accumulate[Total/@Partition[Prime[Range[50]], 2, 1]] (* Harvey P. Dale, Apr 13 2019 *)
CROSSREFS
Sequence in context: A064276 A240001 A301685 * A147031 A147220 A269713
KEYWORD
easy,nonn
AUTHOR
Giovanni Teofilatto, Feb 07 2005
EXTENSIONS
Edited and extended by Ray Chandler, Feb 12 2005
Better definition from Alonso del Arte, Apr 26 2016
STATUS
approved

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Last modified April 18 10:01 EDT 2024. Contains 371779 sequences. (Running on oeis4.)