Definition:Ramanujan-Nagell Equation/Historical Note
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Historical Note on Ramanujan-Nagell Equation
Srinivasa Ramanujan conjectured in $1913$ that the equation $x^2 + 7 = 2^n$ had only $5$ integer solutions.
The same conjecture was made independently in $1943$ by Wilhelm Ljunggren.
The conjecture was proved in $1948$ by Trygve Nagell