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A074128 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. 4
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; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..39.

MATHEMATICA

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

CROSSREFS

Cf. A000040, A074129, A074130, A074131.

Sequence in context: A005675 A054358 A268658 * A061226 A134827 A222361

Adjacent sequences:  A074125 A074126 A074127 * A074129 A074130 A074131

KEYWORD

nonn

AUTHOR

Amarnath Murthy, 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, Aug 29 2002

STATUS

approved

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Last modified October 25 23:28 EDT 2021. Contains 348256 sequences. (Running on oeis4.)