Question

Explain why our method of contradiction showing "there are infinitely many primes in the form of 4k-1" DOESN'T WORK for the primes in the form of 4k+1?

I asked this question before and the answer was incorrect, so I am asking it again. It DOESN'T want to use contradiction method to prove , It wants to explain why we cannot use contradiction method. PLEASE DON'T ANSWER IF YOU DON'T KNOW THE CORRECT ANSWER.

Answer 1

Firstly I proved "There are infinitely many primes of the form 4k-1" by contradiction method.

Then use similar contradiction method for primes in the form 4k+1

But we get example which contradicts the proof we written ( proof of primes in the form 4k+1)

So we cannot use method of contradiction to prove "There are infinitely many primes of the form 4k+1"