Answer:
Check the explanation
Step-by-step explanation:
(a)Let p be the smallest prime divisor of (n!)^2+1 if p<=n then p|n! Hence p can not divide (n!)^2+1. Hence p>n
(b) (n!)^2=-1 mod p now by format theorem (n!)^(p-1)= 1 mod p ( as p doesn't divide (n!)^2)
Hence (-1)^(p-1)/2= 1 mod p hence [ as p-1/2 is an integer] and hence( p-1)/2 is even number hence p is of the form 4k+1
(C) now let p be the largest prime of the form 4k+1 consider x= (p!)^2+1 . Let q be the smallest prime dividing x . By the previous exercises q> p and q is also of the form 4k+1 hence contradiction. Hence P_1 is infinite
Answer:
396 
Step-by-step explanation:
Okay, so first we will find the triangle area.
9 * 8 = 72/2 = 36.
Now multiply this by 11 (the width of the prism)
36 * 11 = 396
Answer:
8 chicken and 4 beeff
Step-by-step explanation:
Answer:
A) x=6
Step-by-step explanation:
6.5^2-2.5^2=x^2
42.25-6.25=x^2=36
x=6
