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### pseudoprimality of powers

Let x belong to N. Then x^n is a pseudoprime to the base (x^n+1).

### pseudoprimality of powers

Let x belong to N. Then x^n is a pseudoprime to the base (x^n+1).

### pseudoprimality of powers

Let x belong to N. Then x^n is a pseudoprime to the base (x^n+1).

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### Fermat's theorem in Z(i)

So far I have been giving examples only. Now let me generalise: Let p’ be a prime of shape 4m+1 Then (n + k*i) is a base for application of Fermat’s theorem in Z(i). Here both n and k belong to N excepting cases where (n+k*i) is a factor of p’.

### Fermat's theorem in Z(i)

So far I have been giving examples only. Now let me generalise: Let p’ be a prime of shape 4m+1 Then (n + k*i) is a base for application of Fermat’s theorem in Z(i). Here both n and k belong to N excepting cases where (n+k*i) is a factor of p’.

### Fermat's theorem in Z(i)

So far I have been giving examples only. Now let me generalise: Let p’ be a prime of shape 4m+1 Then (n + k*i) is a base for application of Fermat’s theorem in Z(i). Here both n and k belong to N excepting cases where (n+k*i) is a factor of p’.