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%I A080077 #5 Mar 31 2012 10:30:04
%S A080077 3,7,23,89,113,1327,1327,1327,1327,35677,35677,343831,343831,4554227,
%T A080077 9550813,22975847,22975847,55761227,72546143,72546143,367876529,
%U A080077 367876529,367876529,7966080037,13276722743,13600393519,13600393519
%N A080077 Smallest prime p such that between p and the next prime for every k = 1, ..., n there is a number m_k whose smallest prime factor is prime(k).
%e A080077 a(1) = 3 since between 3 and 5 we have 4 = 2*2; a(3) = 23 since between 23 and 29 we have 24 = 2*2*2*3, 27 = 3*3*3 and 25 = 5*5; a(5) = 113 since between 113 and 127 we have 114 = 2*3*19, 117 = 3*3*13, 115 = 5*23, 119 = 7*17, 121 = 11*11.
%K A080077 nonn
%O A080077 1,1
%A A080077 _Klaus Brockhaus_, Jan 25 2003
%E A080077 More terms from _Bernardo Boncompagni_ Jul 21 2004

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