Well Dick,you may be right that my question is not that easy,but as i told that
myself being just a begineer ,i may not have duly reconginsed the depth in the question.
But,my intution says that simple expressions like 1+px(p being a prime)
will definitely yield a prime.But,had no idea that...
Thanx for solution,
But I hav a doubt in :
a/x=t
a=xt
Since a has to be an integer, and t is not an integer, x can not be an integer either.
Here ,how can we say that product of a rational number and integer is not a
integer. As,here x is not a prime(assume) may be factor of denominator of t...
Hi guys, i m just a begineer in number theory.
While solving some questions ,i came across a doubt.
The expression: a+bx
here, gcd(a,b)=1
There always exists a value of x(where x is a integer) such that the above
expression is equal to a prime number.
Can anyone prove the above...