Solution of Ljunggren Equation/Mistake
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Source Work
1997: David Wells: Curious and Interesting Numbers (2nd ed.):
- The Dictionary
- $220$
Mistake
- The only solution of the equation $x^2 + 1 = 2 y^2$ is $x = 239, y = 13$.
There also exists the solution $x = 1, y = 1$.
It perhaps also needs to be pointed out that the equation is Diophantine.
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $239$