6 Jan
2005
6 Jan
'05
9:08 a.m.
--- Gary McGuire <gmg@maths.nuim.ie> wrote:
[math-fun] Freeman Dyson responds to the question "What do you think is true even though you cannot prove it"? ... order. Now my statement is: it never happens that the reverse of a power of two is a power of five. ...
I claim that a power of 211 is never a reversal of a power of 112. Oh... 44521 and 12544 ... never mind. This seems similar to the ABC conjecture. The best case I see so far is 7 2^13 = 57344 / 44375 = 71 5^4, for reversed numbers with no common factors. --Ed Pegg Jr