A234469 Primes which are the arithmetic mean of the cubes of four consecutive primes.

2077681, 16244203, 904456921, 2500135411, 2762662109, 10064833601, 65794585811, 122098559279, 144790176847, 245198071093, 268215631223, 2038246966633, 2782403547799, 3022844332973, 3593531892947

Offset

1,1

Links

K. D. Bajpai, Table of n, a(n) for n = 1..3810

Example

2077681 is in the sequence because (113^3 + 127^3 + 131^3 + 137^3)/4 = 2077681 which is prime.
16244203 is in the sequence because (241^3 + 251^3 + 257^3 + 263^3)/4 = 16244203 which is prime.

Maple

KD := proc() local a, b, d, e, g; a:=ithprime(n); b:=ithprime(n+1); d:=ithprime(n+2); e:=ithprime(n+3); g:=(a^3+b^3+d^3+e^3)/4; if g=floor(g) and isprime(g) then RETURN (g); fi; end: seq(KD(), n=1..5000);

Mathematica

Select[Mean/@Partition[Prime[Range[2000]]^3, 4, 1], PrimeQ] (* Harvey P. Dale, Oct 12 2020 *)

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.

Cf. A234358: cubes which are the arithmetic mean of four consecutive primes.

Sequence in context: A335398 A155125 A155126 * A212728 A353346 A234420

Adjacent sequences: A234466 A234467 A234468 * A234470 A234471 A234472

Keyword

nonn

Author

K. D. Bajpai, Dec 26 2013

Status

approved