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Blog, Olympiad

Primes in an arithmetic progression

The following problem was posed in the March 2025 issue of Crux Mathematicorum. OC 722 : Let $p$ and $q$ be distinct primes. Assume that the four numbers $p^{23}, p^{24}, q^{23}, q^{24}$ occur (not necessarily consecutively) in a decreasing arithmetic progression. Show that the primes $p$ and $q$ themselves also appear in that same progression. Solution by […]

Blog, Olympiad

Centre of a magic square?

The following problem was posed in the March 2025 issue of Crux Mathematicorum. Solution to MA311 by Srikanth, Mudhitha Maths Academy, Chennai. Authors: Srikanth is the instructor at Mudhitha Maths Academy, Chennai. He is very fond of problem solving and puzzle games. He is an assistant professor of mathematics by the week, enjoys designing software

Blog, Olympiad

Area ratio problem

The following problem was posed in the March 2025 issue of Crux Mathematicorum. Solution to MA311 by Srikanth and Achudhan. Authors: R.Achudhan is a 9th grader who is enrolled in Target RMO 25 at Mudhitha Maths Academy ,Chennai. He loves solving problems especially non-routine kind. His love for mathematics and problem solving has kindled his

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