Here’s another match equation puzzle. The illustration represents an incorrect Roman numerals equation (3 = 30). Move only two matches to make this equation valid. You cannot shift the position of the other matches. Solution (Click to Show) The solution involves Roman numerals and a multiplication sign. So, it can be read as: C = […]

There is a quaint story in Ripley’s Believe It or Not! 15th Series (1969) about a man who used mathematical terms to propose. Robert Greer, a mathematics teacher at the Mount School in York, England, made the following proposal to a girl named Anne in 1880: If R = 1/2 and A = 1/2, Then R + […]

The above illustration depicts an invalid Roman numerals equation (the left side is 6 and the right side is 2) using seven matches. Find a way to correct this equation by only moving one match. You cannot shift the position of the other matches. Solution (Click to Show) As is equal to 1, the equation […]

1. Squares with Twin Halves 36,363,636,3642 = 1,322,314,049,613,223,140,496 The first 11 digits of the square are the same as the last 11 digits. This is the smallest possible solution for this pattern. Here’s another one: 63,636,363,6372 = 4,049,586,776,940,495,867,769. Furthermore, adding these two numbers results to: 36,363,636,364 + 63,636,636,637 = 100,000,000,001. 2. Consecutive Squares with a Cube Sum […]

When Pierre de Fermat conjectured his last theorem, of which what would be known as the Fermat’s Last Theorem, in 1637, he only wrote it on the margin of his copy of Arithmetica. He claimed that he knew the proof, but it was too large to fit in the narrow margin. H. H. Wu, mathematician […]

I heard the following story from my topology professor. A renowned statistician was teaching a course in fundamental probability theory to a group of undergraduates. As expected of an introductory course, he briefly tackled several main principles of probability to give the students a bird’s-eye view of the subject. One day, he talked about the […]

Time by moments steals away, First the hour, and then the day; Small the daily loss appears, Yet it soon amounts to years. — John Newton, The Works of the Rev. John Newton, 1827 As the new year approaches, so is the second anniversary of Learn Fun Facts. But before that, let’s examine some numerical […]

The above 4 × 4 magic square only has the digits 2, 0. 1, and 9 (from the year 2019) and as a bonus, the four digits in its upper-left section form “2019”. It has a magic sum of 132. This means the sums of the magic square’s columns, rows, and diagonals are all equal […]

The difference between two consecutive primes is called prime gap. Prime gaps are always even except for the prime gap between 2 (the first prime and the only even prime) and 3 (the first odd prime), which is 1. At first, prime gaps are small. As the primes get bigger, larger prime gaps start to […]

Solomon Lefschetz During the mid-1930s, when the Institute of Advanced Study and the Princeton’s Fine Hall were still sharing the same area, they had a thing called the “Princeton Scale of Obviousness”. The scales were as follows: If Joseph Wedderburn says it’s obvious, everyone in the class had noticed it ten minutes ago. If Frederic […]