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A234432 Primes which are the arithmetic mean of the squares of six consecutive primes. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 22 19:11 EDT 2021. Contains 343177 sequences. (Running on oeis4.)