2025's Number of the year!

Anyone who’s had anything to do with kids up to the age of 14, has heard the meme “6-7”. As a teacher whose homeroom convened in classroom 67, you can just imagine how many times I heard it! Well, for this blog post, we will pretend that the number is actually 67 (sixty seven). By the power invested in me by my blog readers, all 67 of them, I hereby declare 67 “Number of the year”. Now, let’s explore the number’s properties.

67 candy canes will rot a kid’s teeth!

67 is a prime number. This means that, if a grandpa has 67 candy canes to give out to grandchildren this Christmas, there are two scenarios in which he can do this sharing fairly:

• If he has one grandchild; or

• If he has 67 grandchildren.

You see, there is no way to split 67 candy canes equally among any other number of grandchildren.

67 as a sum

67 can be written as the sum of five prime numbers: 7+11+13+17+19 = 67

These specific 5 prime numbers are consecutive primes. This means that we wrote this sum with all of the prime numbers between 7 and 19. There were none that we skipped.

Furthermore, this list of primes has some special properties:

Twins

Pairs of primes that are 2 apart, like 11 and 13 or 17 and 19, are known as twin primes

Cousins

Pairs of primes that are 4 apart, such as the two pairs in the above image, are known as cousin primes

Your Gen alpha kid will love this one!

Consider the three pairs of primes that are six apart:

These primes are known as Sexy Primes. I know that you don’t believe me, so I urge you to look it up. There is even a wikipedia page just on this concept.