# convergence in the mean

## Primary tabs

Major Section:
Reference
Type of Math Object:
Definition
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### Euler's generalisation of Fermat's theorem in k(i)

I will just give an example to illustrate:

((21+i)^12-1)/21 is a Gaussian integer. Needless to say we can verify this only if we have pari or similar software.

### Euler's generalisation of Fermat's theorem in k(i) (contd)

Before generalising let me give another related example: ((15 + 7*I)^12-1)/21 also yields a Gaussian integer as quotient.