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Contests
National and Regional Contests
Netherlands Contests
Dutch BxMO/EGMO TST
2023 Dutch BxMO TST
5
5
Part of
2023 Dutch BxMO TST
Problems
(1)
Classical NT using modular arithmetic
Source: 2022 Turkey TST P1 Day 1 + 2023 Dutch BxMO TST, Problem 5
3/13/2022
Find all pairs of prime numbers
(
p
,
q
)
(p,q)
(
p
,
q
)
for which
2
p
=
2
q
ā
2
+
q
!
.
2^p = 2^{q-2} + q!.
2
p
=
2
q
ā
2
+
q
!
.
number theory
modular arithmetic
number theory proposed
Diophantine equation