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Japan Contests
Japan TST
2016 Japan TST
9
9
Part of
2016 Japan TST
Problems
(1)
Difference between prime powers
Source: Japan TST 2016 P9
1/25/2021
Find all
4
4
4
-tuples of primes
p
<
q
<
r
<
s
p<q<r<s
p
<
q
<
r
<
s
satisfying
p
s
ā
r
q
=
3.
p^s-r^q=3.
p
s
ā
r
q
=
3.
number theory