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 solutionss.

Problems in Mathematics of KöMaL, November 2014