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Search: id:A074128
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| A074128 |
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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 sum for each group. |
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+0
5
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| 2, 8, 18, 72, 60, 78, 553, 1336, 4743, 4370, 726, 1524, 14027, 2380, 6330, 24800, 9214, 5886, 19038, 2240, 25515, 5192, 46138, 9456, 42125, 10842, 56619, 103068, 170868, 85140, 55149, 88800, 7062, 42908, 199360, 24444, 87949, 301188, 1110057
(list; graph; listen)
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OFFSET
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1,1
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MATHEMATICA
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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, 1, 40}]; a
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CROSSREFS
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Cf. A000040, A074129, A074130, A074131.
Sequence in context: A058082 A005675 A054358 this_sequence A061226 A134827 A134789
Adjacent sequences: A074125 A074126 A074127 this_sequence A074129 A074130 A074131
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 27 2002
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EXTENSIONS
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(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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