MathDB
Problems
Contests
International Contests
IMO Longlists
1982 IMO Longlists
26
26
Part of
1982 IMO Longlists
Problems
(1)
Determine whether there exists a pair (p, q) of naturals
Source: IMO LongList 1982 - P26
3/18/2011
Let
(
a
n
)
n
≥
0
(a_n)_{n\geq0}
(
a
n
)
n
≥
0
and
(
b
n
)
n
≥
0
(b_n)_{n \geq 0}
(
b
n
)
n
≥
0
be two sequences of natural numbers. Determine whether there exists a pair
(
p
,
q
)
(p, q)
(
p
,
q
)
of natural numbers that satisfy p < q \text{ and } a_p \leq a_q, b_p \leq b_q.
number theory unsolved
number theory