Has $n^{n+1}+(n+1)^{n+2}$ other obvious factors than that I found?

The full factorization of $f(62)$ is

$$\begin{eqnarray} f(62) & = & 97\times 503\times 434254837008211200040837849611255155960657\times \\ & & 682683272545530598298287751380982048464896752734487326295497775449847\end{eqnarray}$$

Somewhat disappointingly, it was reached using raw computing power rather than any smart ideas; just by running YAFU, the factoring tool.

Tags:

Number Theory

Elementary Number Theory

Prime Factorization

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