Prime Decomposition of 2^58+1/Historical Note

Historical Note on Prime Decomposition of $2^{58} + 1$
The prime decomposition of $2^{58} + 1$ was accomplished by in $1869$.

In his words:
 * No one of our numerous factorizations of $2^n \pm 1$ gave us as much trouble and labour as that of $2^{58} + 1$. This number is divisible by $5$ and if we remove this factor we obtain a number of $17$ digits whose factors have $9$ digits each. If we lose this result we shall miss patience and courage to repeat all calculations we have made and it is possible that many years will pass before someone else will discover the factorization of $2^{58} + 1$.

Then in $1871$, discovered the factorization:


 * $2^{58} + 1 = \left({2^{29} - 2^{15} + 1}\right) \left({2^{29} + 2^{15} + 1}\right)$

which was subsequently generalized by.