isi-entrance 2010 Q16

isi-entrance · India · solved Number Theory Prime Number Properties and Identification
Let $n$ be an integer. The number of primes which divide both $n^{2}-1$ and $(n+1)^{2}-1$ is
(a) At most one.
(b) Exactly one.
(c) Exactly two.
(d) None of the above.
(a) At most one.
Let $n$ be an integer. The number of primes which divide both $n^{2}-1$ and $(n+1)^{2}-1$ is\\
(a) At most one.\\
(b) Exactly one.\\
(c) Exactly two.\\
(d) None of the above.