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A074129
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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 first term of each group.
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4
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2, 3, 7, 13, 29, 37, 43, 83, 149, 271, 359, 373, 397, 587, 607, 661, 883, 967, 1009, 1117, 1129, 1291, 1307, 1559, 1601, 1787, 1847, 2069, 2411, 2917, 3181, 3319, 3529, 3539, 3623, 4051, 4099, 4271, 4871, 6553, 7019, 8081, 8377, 8693, 8747, 9343, 9619
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..47.
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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; a = Append[ a, NextPrime[ k ] ]; While[ k = NextPrime[ k ]; s = s + k; !IntegerQ[ s/n ], ], {n, 1, 50} ]; a
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CROSSREFS
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Cf. A000040, A074128, A074130, A074131.
Sequence in context: A048573 A221834 A006946 * A055003 A175248 A099361
Adjacent sequences: A074126 A074127 A074128 * A074130 A074131 A074132
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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, Aug 29 2002
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STATUS
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approved
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