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Greatest number in the n-th successive group of natural numbers containing exactly n prime powers.
0

%I #4 Mar 30 2012 18:50:43

%S 1,3,7,13,25,41,64,97,128,173,233,283,359,439,523,619,729,841,971,

%T 1093,1249,1423,1567,1733,1931,2113,2309,2531,2731,2969,3251,3499,

%U 3733,4019,4289,4621,4937,5237,5569,5881,6269,6637,6977,7417

%N Greatest number in the n-th successive group of natural numbers containing exactly n prime powers.

%C a(n) = A000961(A000217(n)).

%e 1 : 2 3 : 4 5 6 7 : 8 9 10 11 12 13 : 14 15 16 17 18 ...

%e 1 : 2 3 : 4 5 . 7 : 8 9 .. 11 .. 13 : .. .. 16 17 ...

%e 1 : . 3 : . . . 7 : . . .. .. .. 13 : .. .. ...

%e a(1)..a(2)......a(3).............a(4)......

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Mar 25 2004