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A118910 a(1) = 2; a(n) is greatest prime < a(n-1)^3. 3

%I #11 Nov 02 2020 01:58:29

%S 2,7,337,38272739,56062005704198360319209,

%T 176199995814327287356671209104585864397055039072110696028654438846269

%N a(1) = 2; a(n) is greatest prime < a(n-1)^3.

%C Exponent 3 analog of A059785.

%C Obverse of this is A051254.

%e a(5) = 62343227157465615355481 = a(4)^3 - 32 = 39651817^3 - 32 and there is no k < 32 such that 39651817^3 - k is prime.

%t a=2; Join[{2}, Table[a=a^3; While[ !PrimeQ[a], a=a-1]; a, {5}]] (* _T. D. Noe_, Nov 15 2006 *)

%Y Cf. A001358, A055496, A076656, A006992, A005384, A005385, A118908-A118913.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, May 05 2006

%E Corrected by _T. D. Noe_, Nov 15 2006

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Last modified April 16 18:51 EDT 2024. Contains 371750 sequences. (Running on oeis4.)