# Rambling Thoughts

## 2011: Numerology

It is time to celebrate the first day of the new year, and I hereby welcome you to the year 2011.

Of course, the timing of the start of the year is an artifact of our calendar system. The choice of the date to be called “January 1” was determined more or less arbitrarily, and in fact, other cultures use different calendar systems with the new year occurring on different dates. As far as I can tell, time passes uniformly and there is no canonical time that deserves to be called the start of the year. In that sense, celebrating the new year is no more sensible than numerology.

In fact, 2011 (like every other number) has interesting numerological properties; given sufficient time and effort, the number of numerological properties are unbounded. Here’s a small sample:

• 2011 is prime
• 2011 is the sum of 11 consecutive primes: 2011 = 157 + 163 + 167 + 173 + 179 + 181 + 191 + 193 + 197 + 199 + 211
• The past few prime years were 1997, 1999, 2003, 2011. Notice that the successive differences of these years are consecutive powers of two. In fact, 2027 is also a prime year, though 2059 = 29 * 71 is not.
• 2011^2 = 4044121. Reversing the digits on each side, we get 1102^2 = 1214404.
• 2011 = 1 + 2 * 3 * (4 * (5 * 6 + 7 * 8) – 9)