Project Euler Problem 830
Let displaystyle S(n)=sumlimits{k=0}^{n}binom{n}{k}k^n.
Solution
Answer: 254179446930484376
A publicly indexed Project Euler solutions repository lists the answer for Problem 830 as:
$S(10^{18}) \bmod (83^3\cdot 89^3\cdot 97^3)=254179446930484376$.
Answer: 254179446930484376