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

2, 7, 337, 38272739, 56062005704198360319209, 176199995814327287356671209104585864397055039072110696028654438846269

Offset: 1

Author

Jonathan Vos Post, May 05 2006

Keywords

• easy
• nonn

Comments

Exponent 3 analog of A059785.

Obverse of this is A051254.

Examples

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

Crossrefs

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

Programs

Mathematica

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

Extensions

Corrected by T. D. Noe, Nov 15 2006