1975 AHSME Problems/Problem 22
Revision as of 23:38, 6 January 2020 by Brainiacmaniac31 (talk | contribs)
Since the roots are both positive integers, we can say that since
only has
divisors. Thus, the roots are
and
and
. The only two primes which differ by
are
so
and
.
is true because
.
is true because one of the roots is
which is prime.
is true because
is prime.
is true because
is prime.
Thus, the answer is
.
-brainiacmaniac31