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 A007547 Number of steps to compute n-th prime in PRIMEGAME (slow version). (Formerly M5075) 7
 19, 69, 281, 710, 2375, 3893, 8102, 11361, 19268, 36981, 45680, 75417, 101354, 118093, 152344, 215797, 293897, 327571, 429229, 508284, 556494, 701008, 809381, 990746, 1274952, 1435957, 1531854, 1712701, 1820085, 2021938, 2835628, 3107393, 3549288, 3723821 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES D. Olivastro, Ancient Puzzles. Bantam Books, NY, 1993, p. 21. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Table of n, a(n) for n=1..34. J. H. Conway, FRACTRAN: a simple universal programming language for arithmetic, in T. M. Cover and Gopinath, eds., Open Problems in Communication and Computation, Springer, NY 1987, pp. 4-26. R. K. Guy, Conway's prime producing machine, Math. Mag. 56 (1983), no. 1, 26-33. MAPLE a:= proc(n) option remember; local l, p, m, k; l:= [17/91, 78/85, 19/51, 23/38, 29/33, 77/29, 95/23, 77/19, 1/17, 11/13, 13/11, 15/2, 1/7, 55/1]: if n=1 then b(0):= 2; a(0):= 0 else a(n-1) fi; p:= b(n-1); for m do for k while not type(p*l[k], integer) do od; p:= p*l[k]; if 2^ilog2(p)=p then break fi od: b(n):= p; m + a(n-1) end: seq(a(n), n=1..10); # Alois P. Heinz, May 01 2011 MATHEMATICA Clear[a]; a[n_] := a[n] = Module[{l, p, m, k}, l = {17/91, 78/85, 19/51, 23/38, 29/33, 77/29, 95/23, 77/19, 1/17, 11/13, 13/11, 15/2, 1/7, 55/1}; If[n == 1, b[0] = 2; a[0] = 0, a[n-1]]; p = b[n-1]; For[m=1, True, m++, For[k=1, !IntegerQ[p*l[[k]]], k++]; p = p*l[[k]]; If[2^(Length[IntegerDigits[p, 2]]-1) == p, Break[]]]; b[n] = p; m + a[n-1]]; Table[Print[a[n]]; a[n], {n, 1, 30}] (* Jean-François Alcover, Nov 25 2014, after Alois P. Heinz *) PROG (Haskell) import Data.List (elemIndices) a007547 n = a007547_list !! n a007547_list = tail \$ elemIndices 2 \$ map a006530 a007542_list -- Reinhard Zumkeller, Jan 24 2012 CROSSREFS Cf. A007542, A007546. Cf. A006530, A034785. Sequence in context: A300463 A204675 A007546 * A217081 A010007 A172078 Adjacent sequences: A007544 A007545 A007546 * A007548 A007549 A007550 KEYWORD easy,nonn,nice AUTHOR N. J. A. Sloane EXTENSIONS More terms from Alois P. Heinz, May 01 2011 STATUS approved

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Last modified December 11 01:03 EST 2023. Contains 367717 sequences. (Running on oeis4.)