MathDB
Problems
Contests
National and Regional Contests
North Macedonia Contests
JBMO TST - Macedonia
2019 Macedonia Junior BMO TST
1
1
Part of
2019 Macedonia Junior BMO TST
Problems
(1)
2019 JBMO TST- North Macedonia, problem 1
Source: 2019 JBMO TST- North Macedonia
5/26/2019
Determine all prime numbers of the form
1
+
2
p
+
3
p
+
.
.
.
+
p
p
1 + 2^p + 3^p +...+ p^p
1
+
2
p
+
3
p
+
...
+
p
p
where
p
p
p
is a prime number.
JMMO
Junior
Macedonia
number theory
prime numbers