Finding Primes!
Number Theory
Level
4
\(a\), \(b\), \(c\) and \(d\) are integers such that \(0<a,b,c,d<999\) and \(ab=cd\).
How many ordered sets of integers \((a,b,c,d)\) satisfy
\[a+b+c+d=p\]
where \(p\) is a prime number?
by
Mursalin Habib