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1978 IMO Longlists
10
10
Part of
1978 IMO Longlists
Problems
(1)
n divides p-q where p, q are primes
Source:
10/14/2010
Show that for any natural number
n
n
n
there exist two prime numbers
p
p
p
and
q
,
p
≠
q
q, p \neq q
q
,
p
=
q
, such that
n
n
n
divides their difference.
number theory
prime numbers
arithmetic sequence
number theory proposed