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A096702
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Balanced primes of order ten.
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17
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5503, 6301, 8233, 14489, 14591, 14747, 15907, 17789, 20543, 22067, 22699, 23321, 24593, 25423, 26251, 26347, 28477, 29059, 33161, 41023, 42337, 44021, 48187, 51551, 53279, 55001, 59693, 64661, 78173, 81457, 82561, 84017, 85621, 88301
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OFFSET
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1,1
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LINKS
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EXAMPLE
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5503 is a member because
5503 = (5431 + 5437 + 5441 + 5443 + 5449 + 5471 + 5477 + 5479 + 5483 + 5501 + 5503 + 5507 + 5519 + 5521 + 5527 + 5531 + 5557 + 5563 + 5569 + 5573 + 5581)/21 = 115563/21.
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MATHEMATICA
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Transpose[ Select[ Partition[ Prime[ Range[10000]], 21, 1], #[[11]] == (#[[1]] + #[[2]] + #[[3]] + #[[4]] + #[[5]] + #[[6]] + #[[7]] + #[[8]] + #[[9]] + #[[10]] + #[[12]] + #[[13]] + #[[14]] + #[[15]] + #[[16]] + #[[17]] + #[[18]] + #[[19]] + #[[20]] + #[[21]])/20 &]][[11]]
Transpose[Select[Partition[Prime[Range[9000]], 21, 1], Total[#]/21 == #[[11]]&]][[11]] (* Harvey P. Dale, Mar 09 2014 *)
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CROSSREFS
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Cf. A096693, A006562, A082077, A082078, A082079, A096697, A096698, A096699, A096700, A096701, A096703, A096704.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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