A234432 Primes which are the arithmetic mean of the squares of six consecutive primes.

9413, 25673, 38237, 43573, 81553, 106453, 136273, 145513, 257857, 294013, 325753, 430433, 497257, 599273, 702413, 907733, 948173, 1238893, 2053553, 2185577, 2883457, 3972113, 4226077, 4375177, 4494577, 4728313, 6106141

Offset

1,1

Links

K. D. Bajpai, Table of n, a(n) for n = 1..8250

Example

9413 is in the sequence because (83^2 + 89^2 + 97^2 + 101^2 + 103^2 + 107^2)/6 = 9413 which is prime.
25673 is in the sequence because (149^2 + 151^2 + 157^2 + 163^2 + 167^2 + 173^2)/6 = 25673 which is prime.

Maple

KD := proc() local a, b, d, e, f, g, h; a:=ithprime(n); b:=ithprime(n+1); d:=ithprime(n+2); e:=ithprime(n+3); f:=ithprime(n+4); h:=ithprime(n+5); g:=(a^2+b^2+d^2+e^2+f^2+h^2)/6; if g=floor(g) and isprime(g) then RETURN (g); fi; end: seq(KD(), n=2..1000);

Crossrefs

Cf. A084951: primes of the form (prime(k)^2 + prime(k+1)^2 + prime(k+2)^2)/3.

Cf. A093343: primes of the form (prime(k)^2 + prime(k+1)^2)/2.

Sequence in context: A031595 A031775 A143367 * A235677 A235447 A068220

Adjacent sequences: A234429 A234430 A234431 * A234433 A234434 A234435

Keyword

nonn

Author

K. D. Bajpai, Dec 26 2013

Status

approved