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A074130
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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.
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4
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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; internal format)
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OFFSET
| 1,2
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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
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CROSSREFS
| Cf. A000040, A074128, A074129, A074131.
Sequence in context: A033722 A113200 A113198 * A113334 A127796 A131287
Adjacent sequences: A074127 A074128 A074129 * A074131 A074132 A074133
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 27 2002
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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 (rgwv(AT)rgwv.com), Aug 29 2002
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