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 A096700 Balanced primes of order eight. 17
 37, 151, 173, 487, 1153, 2621, 4357, 4451, 5189, 5209, 5431, 6131, 7499, 8429, 8641, 9323, 10093, 10321, 10883, 10949, 11117, 11213, 11369, 11821, 12583, 16001, 16741, 18169, 18289, 22067, 23761, 25747, 29989, 33589, 36691, 39671, 39749, 39779 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Muniru A Asiru, Table of n, a(n) for n = 1..10000 EXAMPLE 37 is a member because 37 = (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71)/17. MAPLE P:=proc(q) local n; for n from 9 to q do if add(ithprime(n-k), k=-8..8)=17*ithprime(n) then print(ithprime(n)); fi; od; end: P(10^6); # Paolo P. Lava, Mar 17 2014 MATHEMATICA Select[Partition[Prime[Range[5000]], 17, 1], Mean[#]==#[[9]]&][[;; , 9]] (* Harvey P. Dale, Jul 06 2023 *) PROG (GAP) P:=Filtered([1..50000], IsPrime);; a:=List(Filtered(List([0..5000], k->List([1..17], j->P[j+k])), i->Sum(i)/17=i[9]), m->m[9]); # Muniru A Asiru, Mar 03 2018 CROSSREFS Cf. A096693, A006562, A082077, A082078, A082079, A096697, A096698, A096699, A096701, A096702, A096703, A096704. Sequence in context: A141968 A142656 A145898 * A158596 A142688 A178835 Adjacent sequences: A096697 A096698 A096699 * A096701 A096702 A096703 KEYWORD nonn AUTHOR Robert G. Wilson v, Jun 26 2004 EXTENSIONS Incorrect previous Mathematica program deleted by Harvey P. Dale, Jul 06 2023 STATUS approved

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Last modified December 2 07:23 EST 2023. Contains 367510 sequences. (Running on oeis4.)