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A096709
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Balanced primes (A090403) of index 5.
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7
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173, 124991, 232607, 491423, 701489, 1356337, 2455681, 3128803, 5218607, 9459683, 10563461, 13228247, 14606029, 16282921, 18216137, 20378273, 21622201, 35201909, 36549169, 38638969, 39246689, 42074017, 43048039, 48961859
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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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124991 is a member because 124991 = (124673 + ... + 125329)/59
= (124543 + ... + 125423)/75 = (124193 + ... + 125777)/137 = (124133 + ... + 125887)/151
= (123931 + ... + 126031)/181.
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MATHEMATICA
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f[n_] := Block[{c = 0, k = 1, p = Prime[n], s = Plus @@ Table[ Prime[i], {i, n - 1, n + 1}]}, While[k != n - 1, If[s == (2k + 1)p, c++ ]; k++; s = s + Prime[n - k] + Prime[n + k]]; c]; Prime[ Select[ Range[2, 25797], f[ # ] == 5 &]]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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