login
Numbers which are not of the form m^p - n^q where p = 2 or 3, q = 2 or 3.
3

%I #8 Mar 31 2012 20:30:48

%S 6,10,14,34,42,46,50,58,62,66,70,78,82,86,90,102,110,114,122,130,134,

%T 158,162,166,178,182,194,202,206,210,214,226,230,234,238,246,250,254,

%U 258,266,274,278,290,302,306,310,314,322,326,330,338,354,358,374,378

%N Numbers which are not of the form m^p - n^q where p = 2 or 3, q = 2 or 3.

%C This is a famous hard problem and the terms shown are only conjectured values.

%C Checked for squares and cubes through 1.134x10^25.

%H Alf van der Poorten, <a href="/A023057/a023057.txt">Remarks on the sequence of 'perfect' powers</a>

%e 146 is not in the sequence because 146 = 195^3-2723^2.

%Y Cf. A074981.

%K nonn

%O 1,1

%A _Zak Seidov_, Oct 07 2002

%E Corrected and extended by _Jud McCranie_, Oct 10 2002