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Prime power with largest index that divides the product of composite numbers between successive primes with a(1) = a(2) = 1.
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%I #4 Dec 05 2013 19:55:50

%S 1,1,4,3,16,4,32,9,8,64,5,256,16,7,8,128,32,4,256,8,8,16,32,64,512,8,

%T 17,16,27,32,2048,256,64,23,1024,25,64,128,8,64,64,9,256,64,8,9,4096,

%U 1024,64,4,16,16,16,256,2048,16,64,27,128,16,47,2048,8192,8,8,8,32768,128

%N Prime power with largest index that divides the product of composite numbers between successive primes with a(1) = a(2) = 1.

%C In case of more than two qualifying candidates the largest one is the member.

%e a(4) = 3 as 3 is the largest prime power dividing 6 which is the only composite number between 5 and 7. a(4) is not 2 though it is also a candidate but 2<3. a(5) = 16 which divides 8*9*10 for prime pair (7,11).

%K nonn

%O 1,3

%A _Amarnath Murthy_, Nov 02 2002

%E More terms from _Sean A. Irvine_, Mar 11 2010