2024年3月29日金曜日

Wolstenholme's theorem

p is a prime number (p≧5).

When p is 5, p^3=125.

2376 is one more than a multiple of 125. 2376=125*19+1

When p is 7, p^3=343.

1716 is one more than a multiple of 343.

This is chaotic, but you can find it by your spreadsheet.

Moreover, this is Binomial coefficient. Pascal's triangle is well known as fractal.

This is harmonic numbers.
You see that this is almost zeta function.
Riemann's zeta function is ζ(s)=0.

0 件のコメント: