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A178660 Numbers n such that n^3 +- (n+5)^2 are primes. 1
7, 12, 13, 18, 58, 142, 187, 502, 597, 657, 702, 907, 912, 942, 943, 972, 1057, 1168, 1248, 1357, 1453, 1533, 1663, 1938, 2013, 2088, 2272, 2373, 2478, 2608, 2848, 2968, 3003, 3028, 3108, 3247, 3423, 3478, 3583, 3817, 3927, 3957, 4132, 4212, 4632, 4668 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

EXAMPLE

7 is a term since: 7^3 +- 12^2 -> (199,487) which are primes.

MATHEMATICA

Select[Range[8! ], PrimeQ[ #^3-(#+5)^2]&&PrimeQ[ #^3+(#+5)^2]&]

Select[Range[4700], AllTrue[#^3+{(#+5)^2, -(#+5)^2}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Mar 19 2018 *)

CROSSREFS

Cf. A068501, A137475, A178659

Sequence in context: A223423 A274334 A083681 * A048653 A205807 A075696

Adjacent sequences:  A178657 A178658 A178659 * A178661 A178662 A178663

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jun 01 2010

STATUS

approved

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Last modified October 18 08:08 EDT 2019. Contains 328146 sequences. (Running on oeis4.)