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The slowest increasing sequence of semiprimes with strictly increasing difference of successive terms.
2

%I #10 Jul 10 2015 19:23:28

%S 4,6,9,14,21,33,46,62,82,106,133,161,194,235,278,323,371,422,478,535,

%T 597,662,731,802,878,955,1037,1121,1207,1294,1382,1473,1565,1658,1754,

%U 1851,1954,2059,2165,2279,2395,2513,2638,2771,2906,3043

%N The slowest increasing sequence of semiprimes with strictly increasing difference of successive terms.

%C Semiprime analog of A070865.

%C Heuristically a(n) is around n^2 log n/log log n. - _Charles R Greathouse IV_, May 01 2015

%H Zak Seidov, <a href="/A257559/b257559.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) >> n^2. - _Charles R Greathouse IV_, Apr 30 2015

%o (PARI) issemi(n)=bigomega(n)==2

%o t=0; print1(last=4); while(1, n=last+t; while(!issemi(n++),); print1(", "n); t=n-last; last=n) \\ _Charles R Greathouse IV_, Apr 30 2015

%Y Cf. A001358, A070865.

%K nonn

%O 1,1

%A _Zak Seidov_, Apr 30 2015