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Minimum m where (c_n)^m is mutinous (i.e., part of sequence A027854), where c_n is the n-th positive integer not a prime power.
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%I #16 Jul 09 2015 21:50:45

%S 2,3,1,3,2,2,2,2,4,1,4,2,1,3,5,2,1,5,3,1,2,2,1,5,1,3,3,2,2,2,1,3,5,1,

%T 5,1,2,2,3,3,1,1,6,2,3,2,2,1,6,1,2,6,4,2,1,2,3,4,6,2,1,3,2,2,2,2,1,6,

%U 1,2,4,1,2,2,3,2,6,2,1,6,4,3,1,4,2,1,2,7,1,2,2,1,4,7,2,1,3,7,2,3,1,2,2,1,3

%N Minimum m where (c_n)^m is mutinous (i.e., part of sequence A027854), where c_n is the n-th positive integer not a prime power.

%C Prime powers (p^k, k = nonnegative integer) raised to a power are never mutinous.

%F m = ceiling[log(p)/(log(c_n) - k log(p))], where p is the largest prime to divide c_n and p^k is the highest power of p to divide c_n.

%e a(1) = 2 because the first non-prime-power is 6; and 6^2 = 36, but not 6^1, is mutinous.

%Y Cf. A027854, A024619.

%K nonn

%O 1,1

%A _Leroy Quet_, Aug 03 2001

%E Definition clarified by _Jonathan Sondow_, May 18 2014