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Numbers of Unusual Size
2361633138713^4 + 2378932615558^4 + 4978964945231^4 = 18*2477071347133^4
Which is to say, since I've not suddenly got my hands on ten trillion times as much compute power as I had on Sunday, I've actually managed to find an embedded elliptic curve in one of my quartic surfaces. http://tom.womack.net/quartsurf has the details, more information about quartic surfaces, long lists of points, and other things to amuse the easily numerically amused.
Which is to say, since I've not suddenly got my hands on ten trillion times as much compute power as I had on Sunday, I've actually managed to find an embedded elliptic curve in one of my quartic surfaces. http://tom.womack.net/quartsurf has the details, more information about quartic surfaces, long lists of points, and other things to amuse the easily numerically amused.