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A096708
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Balanced primes (A090403) of index 4.
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6
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157, 353, 8233, 23893, 26183, 30197, 63697, 118831, 131041, 150203, 152213, 167033, 198013, 293087, 341303, 383983, 494051, 494723, 534007, 551569, 601949, 603541, 629203, 666697, 671287, 679417, 688907, 768203, 787207, 796867, 826039
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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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353 is a member because 353 = (281 + ...353 + ... + 421)/23
= (271 + .. + 353 + ... + 433)/27 = (241 + ... + 353 + ... + 461)/37 = (227 + ... + 353 + ... + 487)/45.
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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[ # ] == 4 &]]
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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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