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A118910 a(1) = 2; a(n) is greatest prime < a(n-1)^3. 3
2, 7, 337, 38272739, 56062005704198360319209, 176199995814327287356671209104585864397055039072110696028654438846269 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Exponent 3 analog of A059785 a(n+1)=prevprime(a(n)^2), with a(1) = 2. Obverse of this is A051254.

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

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

MATHEMATICA

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

CROSSREFS

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

Sequence in context: A128466 A048122 A144787 * A081505 A176748 A262088

Adjacent sequences:  A118907 A118908 A118909 * A118911 A118912 A118913

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, May 05 2006

EXTENSIONS

Corrected by T. D. Noe, Nov 15 2006

STATUS

approved

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Last modified June 24 17:58 EDT 2019. Contains 324330 sequences. (Running on oeis4.)