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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 Harvey P. Dale, Table of n, a(n) for n = 1..1000 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 Cf. A001043, A102725, A102729. Sequence in context: A064276 A240001 A301685 * A147031 A147220 A269713 Adjacent sequences:  A102721 A102722 A102723 * A102725 A102726 A102727 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 October 20 04:37 EDT 2019. Contains 328247 sequences. (Running on oeis4.)