6

Part of 1993 Mexico National Olympiad

Problems(1)

odd prime: p \n(n+1)(n+2)(n+3)+1 for n iff p \ (m^2 - 5) for m

Source: Mexican Mathematical Olympiad 1993 OMM P6

n

is an odd prime. Show that

p

m^2 - 5

for some integer

n

p

m^2 - 5

for some integer

m

number theoryprimeDivisibility