If `|x^2+6x+p|=x^2+6x+p AA x in R :` where P is a prime number, then the least possible value of p is

If x^2+p x-444p=0 has integral roots where p is prime number, then find the value of p .

If x^2+p x-444p=0 has integral roots where p is prime number, then find the value of p .

If |x^(3)-6x^(2)+11x-6| is a prime number then number of possible integral values of x is

If x^2+p x-444p=0 has integral roots where p is prime number, then find the value (s)ofpdot

If equation 6(log_(x)2-log_(4)x)+7=0 has roots x_(1) and x_(2) then log_(2)x_(1)x_(2) is equal to (p)/(q) , where p and q are co-prime numbers, then the value of p+q is equal to

p:[AA x in NN,p^(2)+p+29 is a prime number.] the negation of the given quantified statement is -

If cos x*cos2x*cos4x*cos8x for x=(2 pi)/(3) is a rational number (p)/(q) where p,q in N .then the least value of (p+q) is

Let p and q be real numbers such that the function f(x)={{:(p^(2)+qx","xge1),(-5px^(2)-6","xlt1):} is derivable for all x in R . Then sum of all possible values of p is