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 A074130 Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the number of prime in each group. 4
 1, 2, 2, 4, 2, 2, 9, 12, 23, 14, 2, 4, 29, 4, 10, 32, 10, 6, 18, 2, 21, 4, 32, 6, 25, 6, 29, 46, 64, 28, 17, 26, 2, 12, 52, 6, 21, 66, 195, 56, 112, 34, 34, 8, 66, 30, 27, 14, 130, 10, 95, 2, 82, 34, 63, 14, 40, 96, 101, 18, 61, 44, 39, 20, 39, 8, 3, 26, 46, 4, 26, 280, 82, 24, 32 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS MATHEMATICA NextPrime[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; a = {}; k = 1; Do[s = 0; c = 0; While[k = NextPrime[k]; s = s + k; !IntegerQ[s/n], c++ ]; a = Append[a, c+1], {n, 1, 75}]; a CROSSREFS Cf. A000040, A074128, A074129, A074131. Sequence in context: A320164 A113200 A113198 * A320163 A113334 A127796 Adjacent sequences:  A074127 A074128 A074129 * A074131 A074132 A074133 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 November 30 19:02 EST 2021. Contains 349424 sequences. (Running on oeis4.)