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A234433 Primes which are the arithmetic mean of the cubes of three consecutive primes. 1
3659642149, 7045360877, 13980508481, 43207190581, 55176987287, 67967949209, 85126672391, 146447402879, 263994755239, 296875570279, 344620720019, 382820725229, 400485072139, 476566488179, 527319634151, 663284454649 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 21 14:48 EDT 2021. Contains 343154 sequences. (Running on oeis4.)