34. De Morgan and Others. Mathematician Augustus De Morgan, who died in 1871, used to say that he was $x$ years old in the year $x^{2}$. Jasper Jenkins, wishing to outdo him, told me in 1925 that he was $\mathrm{a}^{2}+b^{2}$ years old in the year $\mathrm{a}^{4}+b^{4}$, that his age was $2 m$ in the year $2 m^{2}$, and finally, that he was $3 n$ years old in the year $3 n^{4}$.

In what year were De Morgan and Jenkins born?
34. De Morgan was born in 1806. When he was 43 years old, the current year equaled the square of his age - 1849. Jenkins was born in 1860. He was \(5^{2}+6^{2}(61)\) years old in the \(5^{4}+6^{4}(1921)\) year. In the \(2 \times 31^{2}\) (1922) year, he turned \(2 \times 31\) (62) years old. Finally, his age was \(3 \times 5\) (15) years in the \(3 \times 5^{4}\) (1875) year.