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KoMaL A Problems
KoMaL A Problems 2018/2019
A. 746
A. 746
Part of
KoMaL A Problems 2018/2019
Problems
(1)
How Many Solutions
Source: KöMaL A. 746
3/19/2022
Let
p
p
p
be a prime number. How many solutions does the congruence
x
2
+
y
2
+
z
2
+
1
≡
0
(
m
o
d
p
)
x^2+y^2+z^2+1\equiv 0\pmod{p}
x
2
+
y
2
+
z
2
+
1
≡
0
(
mod
p
)
have among the modulo
p
p
p
remainder classes?Proposed by: Zoltán Gyenes, Budapest
number theory
congruence
komal