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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
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
Sequence in context: A141968 A142656 A145898 * A158596 A142688 A178835
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.)