# Monthly Archives: January 2016

## M74207281 is prime!

I’m a bit late to the party, but the Great Internet Mersenne Prime Search has recently announced a newly verified prime number, , with a whopping 22,338,618 decimal digits! This is now the largest known prime number (though of course … Continue reading

Posted in computation | Tagged , , , ,

## The chocolate bar game: losing positions proved

In my last post I claimed that the losing positions for the chocolate bar game are precisely those of the form (or the reverse), that is, in binary, positions where one coordinate is the same as the other with any … Continue reading

Posted in games, pattern, pictures, proof, solutions | Tagged , , , , , , , , | 4 Comments

## The chocolate bar game: losing positions characterized

The evident pattern from my last post is that losing positions in the chocolate bar game appear to be characterized by those where the binary expansion of is the same as the binary expansion of with any number (including zero) … Continue reading

Posted in challenges, games, pattern, pictures | | 1 Comment

## The chocolate bar game: losing positions in binary

Recall the chocolate bar game from my last post, whose winning and losing positions can be visualized like this: Here’s a list of some losing positions on or above the main diagonal (dark blue squares in the above picture), ordered … Continue reading

Posted in challenges, games, pattern, pictures | | 1 Comment

## The chocolate bar game

Suppose there is an rectangle. I like to think of it as one of those bars of chocolate made up of squares: Two players take turns. On a player’s turn, she must break the chocolate bar along any one of … Continue reading

Posted in games, pattern, pictures | Tagged , , , , , | 6 Comments

## A new way to read (and print) double-sided paper

Continuing with the theme of reading stacks of paper (see my previous two posts, I have had a marvellous idea (at least I think so; I will let you judge for yourself). Let me take you through my thought process, … Continue reading