# Category Archives: Random

## p^2-q and q^2-p prime

“ and  are 2 prime numbers.  and  are also prime. If you divide  by a composite number , where , you’ll get a remainder of 14. If you divide  by the same number, what will you get as the remainder?” – Akash Advertisements

## Stats Joke

From page 68 of Simon Singh’s The Simpsons and their Mathematical Secrets: While heading to a conference on board a train, three statisticians meet three biologists. The biologists complain about the cost of the train fare, but the statisticians reveal … Continue reading

## [Soln] Problem-Solving Strategies Ch 9 Problem 25

Engel 9.25. The sequence is defined by , . Find the integer part of the sum Note: This problem was taken from Arthur Engel’s Problem-Solving Strategies.

## Problem-Solving Strategies Ch 9 Problem 25

Engel 9.25. The sequence is defined by , . Find the integer part of the sum Note: This problem was taken from Arthur Engel’s Problem-Solving Strategies.

## [Soln] Zero Determinant

Let and be two matrices with complex entries, such that . Prove that . (Credits: I learnt of this problem from this link.)