## Carnival of Mathematics #65

Consider two numbers with no common factors, and take the sum of their squares : In many cases the result is a prime, twice a prime, a prime power, or twice a prime… Continue reading

Vain attempts to construct order

Consider two numbers with no common factors, and take the sum of their squares : In many cases the result is a prime, twice a prime, a prime power, or twice a prime… Continue reading

Curves and surfaces are a wonderful visual representation of mathematics. They can move from the simple and profound to the complex and intriguing. They have even been accused of being part of a sinister plot. In addition the mathematics behind them is becoming increasingly useful in many areas, algebraic statistics for example.

This week, my apologies, the post is a little late. However I have an excuse! I wanted to put the piece below out, but wanted to make sure that it had been published… Continue reading