Difference between revisions of "Kuznetsova equation"

Latest revision as of 22:24, 14 January 2020

Kuznetsova equation refers to problem below.

Find integer \( A,B,C \) such that

for any non-negative integer \( n \) there exist integer \( m \) such that

\( A^{B n + C} = B m+ C \)

Example of solution:

\( A=3 \)
\( B=100 \)
\( C=87 \)

@@ Line 1: / Line 1: @@
 [[Kuznetsova equation]] refers to problem below.
-Find integer \( x,y,z \) such that
+Find integer \( A,B,C \) such that
-for any integer \( n \) there exist integer \( m \) such that
+for any non-negative integer \( n \) there exist integer \( m \) such that
-\( x^{y n + z}=y m+3z \)
+\( A^{B n + C} = B m+ C \)
+Example of solution:
+\( A=3 \) <br>
+\( B=100 \)<br>
+\( C=87 \)<br>