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Search: id:A074131
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| A074131 |
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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 group sum divided by n for the n-th group. |
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+0
5
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| 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; listen)
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OFFSET
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1,1
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FORMULA
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A074128(n)/n.
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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 ], {n, 1, 50} ]; a
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CROSSREFS
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Cf. A000040, A074128, A074129, A074130.
Adjacent sequences: A074128 A074129 A074130 this_sequence A074132 A074133 A074134
Sequence in context: A076660 A046441 A067993 this_sequence A019464 A064402 A075229
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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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