OFFSET
1,1
LINKS
K. D. Bajpai, Table of n, a(n) for n = 1..3270
EXAMPLE
2723401 is in the sequence because (1627^2 + 1637^2 + 1657^2 + 1663^2 + 1667^2)/5 = 2723401 which is prime.
52774873 is in the sequence because (7243^2 + 7247^2 + 7253^2 + 7283^2 + 7297^2)/5 = 52774873 which is prime.
MAPLE
KD := proc() local a, b, d, e, f, g; a:=ithprime(n); b:=ithprime(n+1); d:=ithprime(n+2); e:=ithprime(n+3); f:=ithprime(n+4); g:=(a^2+b^2+d^2+e^2+f^2)/5; if g=floor(g) and isprime(g) then RETURN (g); fi; end: seq(KD(), n=1..10000);
MATHEMATICA
Select[Mean/@Partition[Prime[Range[6000]]^2, 5, 1], PrimeQ] (* Harvey P. Dale, Aug 01 2020 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
K. D. Bajpai, Dec 25 2013
STATUS
approved