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 A096705 Balanced primes of index 1. 6
 5, 17, 29, 37, 71, 79, 89, 137, 149, 151, 179, 193, 227, 229, 257, 281, 359, 373, 383, 419, 421, 433, 487, 491, 563, 577, 593, 631, 643, 653, 659, 677, 701, 733, 757, 823, 877, 947, 953, 983, 991, 1013, 1021, 1087, 1091, 1103, 1123, 1171, 1193, 1217, 1223 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE 17 is a member because 17 = (7 + 11 + 13 + 17 + 19 + 23 + 29)/7 only. MATHEMATICA g[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, 250], f[ # ] == 1 &]] CROSSREFS Cf. A096693, A096695, A096706, A096707, A096708, A096709. Sequence in context: A289836 A068829 A090403 * A023258 A030554 A017581 Adjacent sequences:  A096702 A096703 A096704 * A096706 A096707 A096708 KEYWORD nonn AUTHOR Robert G. Wilson v, Jun 28 2004 STATUS approved

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Last modified October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)