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2020 JBMO Shortlist
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2020 JBMO Shortlist
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(1)
JBMO Shortlist 2020 N4
Source: JBMO Shortlist 2020
7/4/2021
Find all prime numbers
p
p
p
such that
(
x
+
y
)
19
−
x
19
−
y
19
(x + y)^{19} - x^{19} - y^{19}
(
x
+
y
)
19
−
x
19
−
y
19
is a multiple of
p
p
p
for any positive integers
x
x
x
,
y
y
y
.
Junior
Balkan
shortlist
2020
number theory
prime numbers