Question

Show that there are infinitely many primes of the form 4n+3.

Answer 1

@qweqwe123123123123111 @dan815 @Zarkon

Answer 2

Is this where you have 1+2+3+. . . +4n+3?

Answer 3

well, assume there are only finite

then show that if you combine all (4n+3) primes together, and probably add/subtract 1, you create a new prime not in your list

thus, there must be infinite primes

Answer 4

But in this case it would 1,3,5,7,11,13,17 and so on.

Answer 5

ok

Answer 6

like, for instance, assume 4n+3 only holds true for values n <= 10

however, if you combine the numbers 4n+3 together, you notice you will (eventually) create another prime larger than n<=100, meaning there must be more primes beyond n <=100

Answer 7

woops, the two last 100's should be 10s

Answer 8

Thankyou