Enhanced perfect power
Public  11/06/17  9xp  Math  50.0% 
A perfect power $n$ is called enhanced if there exists two integers $m>0$ and $k>2$ such that $n=m^k$. The enhanced perfect powers no more than $100$ are $1, 8, 16, 27, 32, 64, 81$.
Let $S(N)$ be the sum of all enhanced perfect powers no more than $N$. You are given $S(100) = 229$, $S(10000) = 99352$ and $S(10^8) \mod 1000000007 = 553225565$.
Find $S(10^{100}) \mod 1000000007$.
Let $S(N)$ be the sum of all enhanced perfect powers no more than $N$. You are given $S(100) = 229$, $S(10000) = 99352$ and $S(10^8) \mod 1000000007 = 553225565$.
Find $S(10^{100}) \mod 1000000007$.
New Members
 gunnez97 2d:19h
 CcGaviria 3w
 wuyingddg 3w
 curiosity_def 3w:1d
 skywalkert 3w:2d
Fresh Problems

Best Matrices Multiplication 2 2d:21h
solved by 7 
Central binomial coefficients 3d:20h
solved by 10 
Harmonic variations 6d:12h
solved by 7 
Special squarefree sum 1w:3d
solved by 5 
A Staggering Sequence 1w:6d
solved by 11