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A096703 Balanced primes of order eleven. 13
173, 353, 631, 827, 3329, 4723, 13693, 17789, 20947, 21059, 21503, 23563, 23599, 27751, 29759, 35419, 36781, 37991, 44939, 52021, 57163, 57269, 57719, 59663, 68713, 70529, 70879, 71399, 75541, 76949, 78301, 79621, 94399, 101929, 104759 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

173 is a member because

173 = (109 + 113 + 127 + 131 + 137 + 139 + 149 + 151 + 157 + 163 + 167 + 173 + 179 + 181 + 191 + 193 + 197 + 199 + 211 + 223 + 227 + 229 + 233)/23 = 3979/23.

MATHEMATICA

Transpose[ Select[ Partition[ Prime[ Range[10000]], 23, 1], #[[12]] == (#[[1]] + #[[2]] + #[[3]] + #[[4]] + #[[5]] + #[[6]] + #[[7]] + #[[8]] + #[[9]] + #[[10]] + #[[11]] + #[[13]] + #[[14]] + #[[15]] + #[[16]] + #[[17]] + #[[18]] + #[[19]] + #[[20]] + #[[21]] + #[[22]] + #[[23]])/22 &]][[12]]

Transpose[Select[Partition[Prime[Range[11000]], 23, 1], Mean[#] == #[[12]]&]][[12]] (* From Harvey P. Dale, Nov 06 2011 *)

CROSSREFS

Cf. A096693, A006562, A082077, A082078, A082079, A096697, A096698, A096699, A096700, A096701, A096702, A096704.

Sequence in context: A142206 A142004 A047986 * A060332 A142022 A130338

Adjacent sequences:  A096700 A096701 A096702 * A096704 A096705 A096706

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 26 2004

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Last modified February 16 02:51 EST 2012. Contains 205860 sequences.