Find x 2

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions.

Correct answer:

n =  35

Step-by-step explanation:

k1=3;x1=1;y1=1;z1=1 k2=10;x2=1;y2=1;z2=2 k3=10;x3=1;y3=2;z3=1 k4=10;x4=2;y4=1;z4=1 k5=17;x5=1;y5=2;z5=2 k6=17;x6=2;y6=1;z6=2 k7=17;x7=2;y7=2;z7=1 k8=24;x8=2;y8=2;z8=2 k9=29;x9=1;y9=1;z9=3 k10=29;x10=1;y10=3;z10=1 k11=29;x11=3;y11=1;z11=1 k12=36;x12=1;y12=2;z12=3 k13=36;x13=1;y13=3;z13=2 k14=36;x14=2;y14=1;z14=3 k15=36;x15=2;y15=3;z15=1 k16=36;x16=3;y16=1;z16=2 k17=36;x17=3;y17=2;z17=1 k18=43;x18=2;y18=2;z18=3 k19=43;x19=2;y19=3;z19=2 k20=43;x20=3;y20=2;z20=2 k21=55;x21=1;y21=3;z21=3 k22=55;x22=3;y22=1;z22=3 k23=55;x23=3;y23=3;z23=1 k24=62;x24=2;y24=3;z24=3 k25=62;x25=3;y25=2;z25=3 k26=62;x26=3;y26=3;z26=2 k27=66;x27=1;y27=1;z27=4 k28=66;x28=1;y28=4;z28=1 k29=66;x29=4;y29=1;z29=1 k30=73;x30=1;y30=2;z30=4 k31=73;x31=1;y31=4;z31=2 k32=73;x32=2;y32=1;z32=4 k33=73;x33=2;y33=4;z33=1 k34=73;x34=4;y34=1;z34=2 k35=73;x35=4;y35=2;z35=1  n=35

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