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 A176685 Numbers k such that k^3 +-7 are primes. 1
 36, 114, 174, 264, 426, 444, 810, 894, 900, 2724, 3876, 4140, 4386, 4446, 4686, 4884, 5910, 5940, 6240, 6294, 6534, 6624, 7044, 7206, 7314, 7326, 7470, 8076, 8676, 9120, 9216, 9270, 9546, 9900, 10926, 11040, 11934, 12114, 12510, 14004, 14034, 14100 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Daniel Starodubtsev, Table of n, a(n) for n = 1..10000 EXAMPLE 36 is in the sequence, because 36^3 - 7 = 46649 and 36^3 + 7 = 46663 are primes. MATHEMATICA Select[Range[8! ], PrimeQ[ #^3-7]&&PrimeQ[ #^3+7]&] Select[Range[15000], AllTrue[#^3+{7, -7}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jan 28 2020 *) CROSSREFS Cf. A090121, A097698, A108701, A143904, A176681, A176682, A176683, A176684 Sequence in context: A341046 A162940 A250426 * A199260 A033575 A044287 Adjacent sequences: A176682 A176683 A176684 * A176686 A176687 A176688 KEYWORD nonn AUTHOR Vladimir Joseph Stephan Orlovsky, Apr 23 2010 STATUS approved

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Last modified April 13 20:16 EDT 2024. Contains 371645 sequences. (Running on oeis4.)