A perfect sequence looks “too neat” to come up, yet every combination has exactly the same probability. The real difference lies elsewhere: many players pick such sequences, or birthdays, meaning numbers from 1 to 31. When those win, the jackpot gets split among more winners. Choosing unpopular numbers won't raise your odds of winning, only the size of your potential share.
How many different structures can you build with six classic 2-by-4 Lego bricks of the same colour? The company used to quote just over 102 million. In 2005, Danish mathematician Søren Eilers recounted everything by computer: 915,103,765 combinations. The official estimate had been too low by a factor of about nine.
Fold an A4 sheet in half and you get an A5 with the same proportions. That only works for one ratio between length and width: about 1.414, the square root of 2. The A0 format measures exactly one square metre, and A4 is a sixteenth of it. With standard 80-gram-per-square-metre paper, an A4 sheet therefore weighs exactly 5 grams.