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Romania Team Selection Test
1990 Romania Team Selection Test
10
10
Part of
1990 Romania Team Selection Test
Problems
(1)
just q>p
Source: Laurentiu Panaitopol,Romania TST 1990
8/10/2005
Let
p
,
q
p,q
p
,
q
be positive prime numbers and suppose
q
>
5
q>5
q
>
5
. Prove that if
q
∣
2
p
+
3
p
q \mid 2^{p}+3^{p}
q
∣
2
p
+
3
p
, then
q
>
p
q>p
q
>
p
. Laurentiu Panaitopol
number theory
prime numbers
number theory proposed