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%I #6 Oct 15 2013 22:30:48
%S 3,7,13,23,31,47,61,79,113,127,167,241,251,283,337,359,509,523,619,
%T 727,839,953,1021,1327,1367,1669,1847,2039,2179,2207,2399,2803,3121,
%U 3469,3719,4093,4483,4909,5039,5323,6229,6553,6857,6883,7919,8191,9403,10193
%N Primes p such that a pure prime power occurs between p and the next prime.
%H T. D. Noe, <a href="/A053607/b053607.txt">Table of n, a(n) for n = 1..10000</a>
%e 127 belongs here because 128 = 2^7 occurs between 127 and 131.
%t lim = 10^4; pwrs = Sort[Flatten[Table[Prime[n]^i, {n, 1, PrimePi[Sqrt[lim]]}, {i, 2, Log[Prime[n], lim]}]]]; Union[NextPrime[pwrs, -1]] (* _T. D. Noe_, Mar 11 2013 *)
%Y Cf. A051701, A025475.
%K nonn
%O 1,1
%A _Labos Elemer_, Feb 09 2000
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