Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem C. 1255. (November 2014)

C. 1255. Determine the four-digit number \(\displaystyle \overline{abcd}\), given that in the equation \(\displaystyle {n^4=\overline{a6b\;c4d\;641}}\) \(\displaystyle n\) denotes a positive integer with the sequence of digits increasing left to right.

(5 pont)

Deadline expired on December 10, 2014.


Statistics:

225 students sent a solution.
5 points:143 students.
4 points:51 students.
3 points:13 students.
2 points:3 students.
1 point:2 students.
0 point:3 students.
Unfair, not evaluated:10 solutions.

Problems in Mathematics of KöMaL, November 2014