MathDB
How Many Solutions

Source: KöMaL A. 746

March 19, 2022
number theorycongruencekomal

Problem Statement

Let pp be a prime number. How many solutions does the congruence x2+y2+z2+1≡0(modp)x^2+y^2+z^2+1\equiv 0\pmod{p} have among the modulo pp remainder classes?
Proposed by: Zoltán Gyenes, Budapest
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