History of Known solutions of the Fermat-Catalan equation $x^p+y^q=z^r$

 Display properties:   number-header: $x$, $y$, $z$, or $z^r$+Numbers:+- params:+    sum: '81'+    part: x+  number: '2'+  comment: In this solution, $x$ has exponent $p=5$.+- params:+    sum: '81'+    part: y+  number: '7'+  comment: In this solution, $y$ has exponent $q=2$.+- params:+    sum: '81'+    part: z+  number: '3'+  comment: In this solution, $z$ has exponent $r=4$.+- params:+    sum: '81'+    part: sum+  number: '81'+  comment: This is $z^r$ for $(p,q,r)=(5,2,4)$.+- params:+    sum: '512'+    part: x+  number: '13'+  comment: In this solution, $x$ has exponent $p=2$.+- params:+    sum: '512'+    part: y+  number: '7'+  comment: In this solution, $y$ has exponent $q=3$.+- params:+    sum: '512'+    part: z+  number: '2'+  comment: In this solution, $z$ has exponent $r=9$.+- params:+    sum: '512'+    part: sum+  number: '512'+  comment: This is $z^r$ for $(p,q,r)=(2,3,9)$.+- params:+    sum: '5041'+    part: x+  number: '2'+  comment: In this solution, $x$ has exponent $p=7$.+- params:+    sum: '5041'+    part: y+  number: '17'+  comment: In this solution, $y$ has exponent $q=3$.+- params:+    sum: '5041'+    part: z+  number: '71'+  comment: In this solution, $z$ has exponent $r=2$.+- params:+    sum: '5041'+    part: sum+  number: '5041'+  comment: This is $z^r$ for $(p,q,r)=(7,3,2)$.+- params:+    sum: '14884'+    part: x+  number: '3'+  comment: In this solution, $x$ has exponent $p=5$.+- params:+    sum: '14884'+    part: y+  number: '11'+  comment: In this solution, $y$ has exponent $q=4$.+- params:+    sum: '14884'+    part: z+  number: '122'+  comment: In this solution, $z$ has exponent $r=2$.+- params:+    sum: '14884'+    part: sum+  number: '14884'+  comment: This is $z^r$ for $(p,q,r)=(5,4,2)$.+- params:+    sum: '3805914951397'+    part: x+  number: '33'+  comment: In this solution, $x$ has exponent $p=8$.+- params:+    sum: '3805914951397'+    part: y+  number: '1549034'+  comment: In this solution, $y$ has exponent $q=2$.+- params:+    sum: '3805914951397'+    part: z+  number: '15613'+  comment: In this solution, $z$ has exponent $r=3$.+- params:+    sum: '3805914951397'+    part: sum+  number: '3805914951397'+  comment: This is $z^r$ for $(p,q,r)=(8,2,3)$.+- params:+    sum: '4902227890625'+    part: x+  number: '1414'+  comment: In this solution, $x$ has exponent $p=3$.+- params:+    sum: '4902227890625'+    part: y+  number: '2213459'+  comment: In this solution, $y$ has exponent $q=2$.+- params:+    sum: '4902227890625'+    part: z+  number: '65'+  comment: In this solution, $z$ has exponent $r=7$.+- params:+    sum: '4902227890625'+    part: sum+  number: '4902227890625'+  comment: This is $z^r$ for $(p,q,r)=(3,2,7)$.+- params:+    sum: '235260548044817'+    part: x+  number: '9262'+  comment: In this solution, $x$ has exponent $p=3$.+- params:+    sum: '235260548044817'+    part: y+  number: '15312283'+  comment: In this solution, $y$ has exponent $q=2$.+- params:+    sum: '235260548044817'+    part: z+  number: '113'+  comment: In this solution, $z$ has exponent $r=7$.+- params:+    sum: '235260548044817'+    part: sum+  number: '235260548044817'+  comment: This is $z^r$ for $(p,q,r)=(3,2,7)$.+- params:+    sum: '443689062789184'+    part: x+  number: '17'+  comment: In this solution, $x$ has exponent $p=7$.+- params:+    sum: '443689062789184'+    part: y+  number: '76271'+  comment: In this solution, $y$ has exponent $q=3$.+- params:+    sum: '443689062789184'+    part: z+  number: '21063928'+  comment: In this solution, $z$ has exponent $r=2$.+- params:+    sum: '443689062789184'+    part: sum+  number: '443689062789184'+  comment: This is $z^r$ for $(p,q,r)=(7,3,2)$.+- params:+    sum: '902576261010649'+    part: x+  number: '43'+  comment: In this solution, $x$ has exponent $p=8$.+- params:+    sum: '902576261010649'+    part: y+  number: '96222'+  comment: In this solution, $y$ has exponent $q=3$.+- params:+    sum: '902576261010649'+    part: z+  number: '30042907'+  comment: In this solution, $z$ has exponent $r=2$.+- params:+    sum: '902576261010649'+    part: sum+  number: '902576261010649'+  comment: This is $z^r$ for $(p,q,r)=(8,3,2)$.