A039644 Number of steps to fixed point of "k -> k/2 or (k+1)/2 until result is prime", starting with prime(n)-1.

1, 1, 2, 2, 2, 3, 4, 3, 2, 3, 5, 4, 4, 3, 2, 3, 2, 6, 3, 5, 5, 5, 2, 4, 6, 4, 4, 2, 5, 5, 7, 4, 4, 6, 3, 4, 6, 3, 2, 3, 2, 4, 7, 7, 5, 5, 3, 6, 2, 4, 4, 8, 8, 8, 8, 2, 3, 5, 7, 7, 3, 3, 7, 7, 7, 3, 3, 6, 2, 6, 6, 2, 5, 4, 8, 2, 3, 6, 6, 6, 4, 4, 7, 7, 7, 7, 7, 5, 5, 5, 2, 2, 4, 5, 9, 2, 3, 6, 3, 6, 3, 3

Offset: 1

Author

Wouter Meeussen

Keywords

• nonn

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A039634-A039645.

Cf. A010051, A000040, A039640, A039642, A039637.

Programs

Haskell

a039644 1 = 1
a039644 n = snd $ until ((== 1) . a010051 . fst)
            (\(x, i) -> ((x + 1) `div` 2 , i + 1)) (a000040 n - 1, 1)
-- Reinhard Zumkeller, Nov 17 2013

Mathematica

(* See A039637. *)

Extensions

Offset corrected by Reinhard Zumkeller, Nov 17 2013