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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. +0
5
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; listen)
OFFSET

1,2

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: A033722 A113200 A113198 this_sequence A113334 A127796 A131287

Adjacent sequences: A074127 A074128 A074129 this_sequence A074131 A074132 A074133

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), 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 (rgwv(AT)rgwv.com), Aug 29 2002

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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.


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