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A234358
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Cubes t^3 = (p+q+r+s)/4 which are the arithmetic mean of four consecutive primes such that p < t^3 < q < r < s.
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3
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25934336, 194104539, 320013504, 332812557, 428661064, 8072216216, 8640364608, 11239424000, 16290480375, 17738739712, 26730899000, 44136677304, 46850670125, 68117264704, 114366627864, 119168121961
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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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25934336 is in the sequence because 25934336 = 296^3 = (25934303+25934341+25934347+25934353)/4, the arithmetic mean of four consecutive primes.
320013504 is in the sequence because 320013504 = 684^3 = (320013479+320013509+320013511+320013517)/4, the arithmetic mean of four consecutive primes.
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MAPLE
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KD := proc() local a, b, d, e, f, g; a:=n^3; b:=prevprime(a); d:=nextprime(a); e:=nextprime(d); f:=nextprime(e); g:=(b+d+e+f)/4; if a=g then RETURN (a); fi; end: seq(KD(), n=2..10000);
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CROSSREFS
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Cf. A062703 (squares: sum of two consecutive primes).
Cf. A069495 (squares: arithmetic mean of two consecutive primes).
Cf. A234240 (cubes: arithmetic mean of two consecutive primes).
Cf. A234256 (cubes: arithmetic mean of three consecutive primes).
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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