You may also like

problem icon

Rationals Between

What fractions can you find between the square roots of 56 and 58?

problem icon

Root to Poly

Find the polynomial p(x) with integer coefficients such that one solution of the equation p(x)=0 is $1+\sqrt 2+\sqrt 3$.

problem icon

Consecutive Squares

The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?

Weekly Problem 6 - 2008

Stage: 3 and 4 Challenge Level: Challenge Level:1

Given that $5^j + 6^k + 7^l + 11^m = 2006$ where $j$, $k$, $l$ and $m$ are different non-negative integers, what is the value of $j+k+l+m$?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.



This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution
View the current weekly problem