A096708 Balanced primes (A090403) of index 4.

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

Offset: 1

Author

Robert G. Wilson v, Jun 28 2004

Keywords

• nonn

Examples

			353 is a member because 353 = (281 + ...353 + ... + 421)/23
= (271 + .. + 353 + ... + 433)/27 = (241 + ... + 353 + ... + 461)/37 = (227 + ... + 353 + ... + 487)/45.
		

Crossrefs

Cf. A096693, A096695, A096705, A096706, A096707, A096709.

Programs

Mathematica

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 &]]

Extensions

a(17)-a(31) from Donovan Johnson, Apr 09 2010