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On number theory and pretty ladies

I was in the coffee shop tonight and Jenny (not her real name), a young lady who used to work there came in with her father. They had just come from a Panthers game and were both wearing jerseys with the number 89 on them. 89 is the number of wide receiver Steve Smith.

I was vaguely familiar with Steve Smith (he had gotten into some kind of trouble a while back that put his name in the headlines), but I had no idea he had such a cool jersey number. 89 is both a fibonacci number and a Sophie Germain prime. Wow. I am always on the lookout for numbers that are interesting in both mathematical and non-mathematical ways. It looks like 89 fits the bill.

I must say that there are very few aesthetic delights greater than a pretty young woman wearing clothing with an interesting number on it. I am reminded of a few months ago when a young woman was leaving the coffee shop wearing shorts with the number 1892 on the back. As she was walking to her car, I factored the number and saw that it was equal to 2*2*11*43.

It was an interesting number for a couple of reasons. One is that it's largest prime factor is 43. In a previous post I explained why this is an interesting number and also of some significance to me personally. The other is that this is a number of the form n*(n+1), where n in this case is 43. If someone is born in a year of this form , then they will reach the age n+1 in the year (n+1)2. So in this case, someone born in the year 1892 turned 44 in the 1936, or 442.

I didn't blog about it at the time. Partially because I didn't want to blog about looking at a young woman's derriere. But confession is good for the soul, and in the interest of both full disclosure and the advancement of number theory, I am posting about it now. 



Oh boy are you smart! I couldn't factor big numbers in my head - and barely passed high school calculus.