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Numbers z such that there is a solution to x^2 + y^3 = z^4 with x, y, z >= 1.
9

%I #11 Apr 20 2018 16:51:47

%S 6,9,15,35,36,42,48,57,63,71,72,75,78,90,98,100,120,135,141,147,162,

%T 195,196,204,208,215,225,243,252,260,279,280,288,289,295,300,306,336,

%U 363,364,384,405,441,450,456,462,504,510,525,537,550,568,576,600,624,630,713,720,722,735,750,784,800,819,828,841,845,847,867,875

%N Numbers z such that there is a solution to x^2 + y^3 = z^4 with x, y, z >= 1.

%F Equals sequence A242183 with duplicates removed.

%o (PARI) is(z)=for(y=1,sqrtnint(z^4,3),issquare(z^4-y^3,&x)&&x&&return(1))

%Y Cf. A242183, A242192, A300565 (z^5 = x^3 + x^4), A300566 (z^6 = x^4 + y^5).

%K nonn

%O 1,1

%A _M. F. Hasler_, Apr 16 2018