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 A074131 Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the group sum divided by n for the n-th group. 4
 2, 4, 6, 18, 12, 13, 79, 167, 527, 437, 66, 127, 1079, 170, 422, 1550, 542, 327, 1002, 112, 1215, 236, 2006, 394, 1685, 417, 2097, 3681, 5892, 2838, 1779, 2775, 214, 1262, 5696, 679, 2377, 7926, 28463, 9505, 20618, 6653, 6754, 1585, 13266, 6173, 5587 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA A074128(n)/n. MATHEMATICA NextPrime[ n_ ] := Block[ {k = n + 1}, While[ ! PrimeQ[ k ], k++ ]; k ]; a = {}; k = 1; Do[ s = 0; While[ k = NextPrime[ k ]; s = s + k; !IntegerQ[ s/n ], ]; a = Append[ a, s/n ], {n, 1, 50} ]; a CROSSREFS Cf. A000040, A074128, A074129, A074130. Sequence in context: A192335 A334390 A067993 * A335038 A019464 A064402 Adjacent sequences:  A074128 A074129 A074130 * A074132 A074133 A074134 KEYWORD nonn AUTHOR Amarnath Murthy, Aug 27 2002 EXTENSIONS (2), (3, 5), (7, 11), (13, 17, 19, 23), (29, 31), (37, 41), (43, 47, 53, 59, 61, 67, 71, 73, 79), (83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139), (149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, ..., 269), ... Edited, corrected and extended by Robert G. Wilson v, Aug 29 2002 STATUS approved

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Last modified January 22 02:46 EST 2022. Contains 350481 sequences. (Running on oeis4.)