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 A074129 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. 4
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS MATHEMATICA 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 CROSSREFS Cf. A000040, A074128, A074130, A074131. Sequence in context: A048573 A221834 A006946 * A233042 A055003 A175248 Adjacent sequences:  A074126 A074127 A074128 * A074130 A074131 A074132 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 January 22 02:46 EST 2022. Contains 350481 sequences. (Running on oeis4.)