Prove that if p is a prime number of the form 4n + 1
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Prove that if p is a prime number of the form 4n + 1,
then the following congruence holds:
x^2 is congruent to -1 mod p.
The more detail problem is in the attached file.
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Solution Summary
The solution explains the congruence: x^2 is congruent to -1 mod p.
The solution is given in detail.
This is mainly for solving the congruence by using the Wilson's theorem.
Solution Preview
The solution is in the attached file.
Ring Theory 3
Solving Congruences
By :- Thokchom Sarojkumar Sinha
Prove that if p is a prime number of the form 4n + 1
then the following congruence holds,
Proof :- Suppose that
Since p = 4n + 1 then p - 1 = 4n
which implies that
Therefore the product for ...
Education
- BSc, Manipur University
- MSc, Kanpur University
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