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 A234358 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. 3
 25934336, 194104539, 320013504, 332812557, 428661064, 8072216216, 8640364608, 11239424000, 16290480375, 17738739712, 26730899000, 44136677304, 46850670125, 68117264704, 114366627864, 119168121961 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS K. D. Bajpai, Table of n, a(n) for n = 1..3100 EXAMPLE 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. MAPLE 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); CROSSREFS Cf. A000578 (cubes:  a(n) = n^3). 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). Sequence in context: A184563 A231120 A340582 * A113026 A186143 A216005 Adjacent sequences:  A234355 A234356 A234357 * A234359 A234360 A234361 KEYWORD nonn,changed AUTHOR K. D. Bajpai, Dec 24 2013 EXTENSIONS Definition corrected by K. D. Bajpai, Jan 07 2014 STATUS approved

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Last modified June 30 03:34 EDT 2022. Contains 354913 sequences. (Running on oeis4.)