Can you prove that triangles are right-angled when $a^2+b^2=c^2$?
Here you have an opportunity to explore the proofs of the laws of logarithms.
Find out about the research activities of the NRICH team and other colleagues here.
Yatir from Israel wrote this article on numbers that can be written as $ 2^n-n $ where n is a positive integer.
Data is sent in chunks of two different sizes - a yellow chunk has 5 characters and a blue chunk has 9 characters. A data slot of size 31 cannot be exactly filled with a combination of yellow and blue chunks, explore what sizes near to 31 can, or cannot, be exactly filled.
Does it make any difference how we write powers of powers?
