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Denominators of Conway's PRIMEGAME.
8

%I #12 Feb 22 2013 21:39:10

%S 91,85,51,38,33,29,23,19,17,13,11,2,7,1

%N Denominators of Conway's PRIMEGAME.

%C Numerators are in A202138.

%C Notice that the last number of this sequence is 1, meaning that the last number in the "prime producing machine" is an integer, namely 55. Thus, if each multiplication by the previous numbers of the "machine" fails to give an integer, this one will, and it will be a multiple of 55.

%o (Haskell)

%o a203363_list = [91, 85, 51, 38, 33, 29, 23, 19, 17, 13, 11, 2, 7, 1]

%o -- _Reinhard Zumkeller_, Jan 24 2012

%Y Cf. A007542

%K nonn,frac,full,fini

%O 1,1

%A _Alonso del Arte_, Dec 31 2011