## 2011 And A Bit Of Maths

2011 is a prime number year, the first one since 2003.

2011 is also the sum of 11 CONSECUTIVE prime numbers: 2011=157+163+167+173+179+181+191+193+197+199+211

2011 is also the sum of 3 CONSECUTIVE primes 2011 = 661+673+677

Two prime numbers are “consecutive” if they follow one upon the other, in the collection of prime numbers. So, for example, 3 and 5 are consecutive prime numbers, as are 7 and 11.

2011 is ALSO the sum of a 2 prime numbers (11 and 3) of consecutive prime numbers.

The next year after 2010 that is a prime number and a sum of consecutive prime numbers is 2027 = 29+31+37+41+43+47+53+59+61+67+71+73+

79+83+89+97+101+103+107+109+113+127+131+137+139

but that year is not a sum of a prime number of consecutive prime numbers.

However, 2027 does have the curious and interesting property that it is prime and the sum of its digits 2+0+2+7=11 is also a prime number. It is the first year after 2003 that has this property.

The next year that is a prime number and a sum of a prime number of consecutive prime numbers is 2081 =401+409+419+421+431.

Happy New Year

## Summer Holidays

Hi to all my students. I hope you are having a great break from school and enjoying our very hot summer. Some exciting things are happening in your classroom while you are away. We have had a permanent data projector installed in class, which is great and will make learning more fun in class. Also I am in the middle of planning the best ever class camp for term 1, so be very excited. I have had a great Christmas in Wellington and New Year in Taupo (checking out camp activities while I was there). Also I got my adrenalin fix by doing the Flying Fox at gravity canyon again...hmmm what next? I will put some photos up soon.