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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).
0

%I #5 Mar 31 2012 10:30:04

%S 3,7,23,89,113,1327,1327,1327,1327,35677,35677,343831,343831,4554227,

%T 9550813,22975847,22975847,55761227,72546143,72546143,367876529,

%U 367876529,367876529,7966080037,13276722743,13600393519,13600393519

%N 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 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 nonn

%O 1,1

%A _Klaus Brockhaus_, Jan 25 2003

%E More terms from _Bernardo Boncompagni_ Jul 21 2004