Class numbers and the unique factorization property.

The elliptic modular function and the unique factorization property.

EXP(p√163) = 262,537,412,640,768,744 ε with ε < .00000000000075 .

Using Mathematica:

n=N[E^(Pi*(163)^(1/2)),50]

2.6253741264076874399999999999925007259719818568888×10^{17}

N[262537412640768744-n,50]

7.4992740280181431112×10^{-13}