A234433 Primes which are the arithmetic mean of the cubes of three consecutive primes.

3659642149, 7045360877, 13980508481, 43207190581, 55176987287, 67967949209, 85126672391, 146447402879, 263994755239, 296875570279, 344620720019, 382820725229, 400485072139, 476566488179, 527319634151, 663284454649

Offset

1,1

Links

K. D. Bajpai, Table of n, a(n) for n = 1..7100

Example

3659642149 is in the sequence because (1531^3 + 1543^3 + 1549^3)/3 = 3659642149 which is prime.
7045360877 is in the sequence because (1907^3 + 1913^3+  1931^3)/3 = 7045360877 which is prime.

Maple

KD := proc() local a, b, d, e, f, g; a:=ithprime(n); b:=ithprime(n+1); d:=ithprime(n+2); g:=(a^3+b^3+d^3)/3; if g=floor(g) and isprime(g) then RETURN (g); fi; end: seq(KD(), n=2..2000);

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: A113027 A094722 A283458 * A219677 A061441 A135915

Adjacent sequences: A234430 A234431 A234432 * A234434 A234435 A234436

Keyword

nonn

Author

K. D. Bajpai, Dec 26 2013

Status

approved