prove that primes of the form 4n+1 are infinite . send the proof at firstname.lastname@example.org
Hmmmm... Try doing a proof by contradiction.
Why would 4n+1 be infinite? n is an unknown variable. The only way the statment [tex]4n+1[/tex] is true is if [tex]n = infity[/tex].
PS >> Sorry I did not remember the \infity thing, it didnt work
Good point, eNathan, but I think the original poster mean "the number of primes of the form 4n+1 is infinite".
Im a little confused with the logic of this question. What do prime numbers have to do with 4n+1?
A prime of the the form 4n+1 is a prime that is equal to one more than four times an integer. In other words the prime when divided by four has a remainder of 1.
5, 13, 17, 29 are examples of primes of the form 4n+1.
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