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A234433
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Primes which are the arithmetic mean of the cubes of three consecutive primes.
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1
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3659642149, 7045360877, 13980508481, 43207190581, 55176987287, 67967949209, 85126672391, 146447402879, 263994755239, 296875570279, 344620720019, 382820725229, 400485072139, 476566488179, 527319634151, 663284454649
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OFFSET
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1,1
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LINKS
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EXAMPLE
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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.
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MAPLE
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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);
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CROSSREFS
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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.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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